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Edexcel International AS Physics

Revision Notes

Home / International AS / Physics / Edexcel / Revision Notes / 2. Waves & Electricity / Current, Potential Difference, Resistance & Power / 2.36 Energy Conservation in Circuits


2.36 Energy Conservation in Circuits


Energy Conservation in Circuits

The Electrical Voltages Rule (Kirchhoff's Second Law)

  • Energy is never used up or lost in a circuit, since everything follows the Law of Conservation of Energy
  • The electrical voltages rule is defined as:

The sum of the e.m.f.s in a closed circuit loop is equal to the sum of the potential differences around that loop

  • Each closed circuit loop can be treated like a series circuit
  • A typical circuit might have a setup where  E1 + E2 = V1 + V2 where:
    • E1 and E2 represent the e.m.f.s in the closed loop
    • V1  and V2 represent the potential differences in the closed loop

Kirchoff's second law in a series circuit, downloadable AS & A Level Physics revision notes

The sum of the voltages is equal to the total e.m.f from the batteries

  • In a series circuit, the voltage is split across all components depending on their resistance
    • The sum of the voltages is equal to the total e.m.f of the power supply

  • In a parallel circuit, the voltage is the same across each closed loop
    • The sum of the voltages in each closed circuit loop is equal to the total e.m.f of the power supply:

Kirchoff's second law in a parallel circuit, downloadable AS & A Level Physics revision notes

The sum of the e.m.fs in each closed loop is equal to the total e.m.f of the power supply

  • A closed circuit loop acts as its own independent series circuit
  • Each loop separates at a junction
  • A parallel circuit is made up of two or more of these loops 

Loops in parallel circuit, downloadable AS & A Level Physics revision notes

Each circuit loops acts as a separate, independent series circuit

  • This makes parallel circuits incredibly useful for home wiring systems
    • A single power source supplies all lights and appliances with the same voltage
    • If one light breaks, voltage and current can still flow through for the rest of the lights and appliances

Exam Tip

The Electrical Voltages Rules is sometimes known as Kirchhoff's Second Law.

Drawing the loops in different colours, as in the example above, can be a helpful way of identifying the different loops.



  • 1. Mechanics & Materials
    • Motion
      • 1.1 Equations of Motion
        • 1.2 Motion Graphs
          • 1.3 Slope & Area of Motion Graphs
            • 1.4 Scalars & Vectors
              • 1.5 Resolving Vectors
                • 1.6 Adding Vectors
                  • 1.7 Components of Velocity
                    • 1.8 Free-body Force Diagrams
                    • Forces & Momentum
                      • 1.9 Force & Acceleration
                        • 1.10 Mass, Weight & Gravitational Field Strength
                          • 1.11 Core Practical 1: Investigating the Acceleration of Freefall
                            • 1.12 Newton's Third Law of Motion
                              • 1.13 Momentum
                                • 1.14 Conservation of Linear Momentum
                                • Moments
                                  • 1.15 Moments
                                    • 1.16 Centre of Gravity & The Principle of Moments
                                    • Work, Energy & Power
                                      • 1.17 Work
                                        • 1.18 Kinetic Energy
                                          • 1.19 Gravitational Potential Energy
                                            • 1.20 The Principle of Conservation of Energy
                                              • 1.21 Power
                                                • 1.22 Efficiency
                                                • Density, Upthrust & Viscous Drag
                                                  • 1.23 Density
                                                    • 1.24 Upthrust
                                                      • 1.25 Viscous Drag
                                                      • Stretching Materials
                                                        • 1.27 Hooke's Law
                                                          • 1.28 Stress, Strain & The Young Modulus
                                                            • 1.29 Force-Extension Graphs
                                                              • 1.30 Stress-Strain Graphs
                                                                • 1.31 Core Practical 3: Investigating Young Modulus
                                                                  • 1.32 Elastic Strain Energy
                                                                • 2. Waves & Electricity
                                                                  • Transverse & Longitudinal Waves
                                                                    • 2.1 Properties of Waves
                                                                      • 2.2 The Wave Equation
                                                                        • 2.3 Longitudinal Waves
                                                                          • 2.4 Transverse Waves
                                                                            • 2.5 Representing Waves on Graphs
                                                                            • Interference & Stationary Waves
                                                                              • 2.7 Interference & Superposition of Waves
                                                                                • 2.8 Phase & Path Difference
                                                                                  • 2.9 Stationary Waves
                                                                                    • 2.10 Wave Speed on a Stretched Spring
                                                                                      • 2.11 Core Practical 5: Investigating Stationary Waves
                                                                                      • Refraction, Reflection & Polarisation
                                                                                        • 2.12 Equation for the Intensity of Radiation
                                                                                          • 2.13 Refraction & Refractive Index
                                                                                            • 2.14 Critical Angle
                                                                                              • 2.15 Total Internal Reflection
                                                                                                • 2.16 Measuring Refractive Index
                                                                                                  • 2.17 Plane Polarisation
                                                                                                  • Waves, Electrons & Photons
                                                                                                    • 2.19 The Diffraction Grating Equation
                                                                                                      • 2.20 Core Practical 6: Investigating Diffraction Gratings
                                                                                                        • 2.21 The Wave Nature of Electrons
                                                                                                          • 2.22 The de Broglie Equation
                                                                                                            • 2.23 Transmission & Reflection of Waves
                                                                                                              • 2.24 Pulse-Echo Technique
                                                                                                                • 2.25 Wave-Particle Duality
                                                                                                                  • 2.26 Energy of a Photon
                                                                                                                  • The Photoelectric Effect & Atomic Spectra
                                                                                                                    • 2.27 The Photoelectric Effect
                                                                                                                      • 2.28 The Photoelectric Equation
                                                                                                                        • 2.29 The Electronvolt
                                                                                                                          • 2.30 The Particle Nature of EM Radiation
                                                                                                                            • 2.31 Atomic Line Spectra
                                                                                                                            • Current, Potential Difference, Resistance & Power
                                                                                                                              • 2.32 Electric Current
                                                                                                                                • 2.33 Potential Difference
                                                                                                                                  • 2.34 Ohm's Law
                                                                                                                                    • 2.35 Charge Conservation in Circuits
                                                                                                                                      • 2.36 Energy Conservation in Circuits
                                                                                                                                        • 2.37 Resistance in Series & Parallel
                                                                                                                                          • 2.38 Electrical Power
                                                                                                                                            • 2.39 Current-Potential Difference Graphs
                                                                                                                                            • Resistance, Resistivity & Potential Dividers
                                                                                                                                              • 2.40 Electrical Resistivity
                                                                                                                                                • 2.41 Core Practical 7: Investigating Resistivity
                                                                                                                                                  • 2.42 Calculating Current & Drift Velocity
                                                                                                                                                    • 2.43 Potential Difference & Conductor Length
                                                                                                                                                      • 2.44 Potential Dividers
                                                                                                                                                        • 2.45 Potential Dividers & Variable Resistance
                                                                                                                                                        • E.M.F & Modelling Resistance
                                                                                                                                                          • 2.46 Electromotive Force
                                                                                                                                                            • 2.47 Internal Resistance
                                                                                                                                                              • 2.48 E.M.F. vs. Terminal Potential Difference
                                                                                                                                                                • 2.49 Core Practical 8: Investigating E.M.F. & Internal Resistance
                                                                                                                                                                  • 2.50 Resistance & Temperature
                                                                                                                                                                    • 2.51 Resistance & Illumination
                                                                                                                                                                  • 3. Practical Skills in Physics I
                                                                                                                                                                    • Practical Skills I: Planning
                                                                                                                                                                      • 3.1 Identifying Apparatus
                                                                                                                                                                        • 3.2 Range & Resolution of Instruments
                                                                                                                                                                          • 3.3 Calibrating Instruments
                                                                                                                                                                            • 3.4 Measuring Variables
                                                                                                                                                                              • 3.5 Control Variables & Fair Tests
                                                                                                                                                                                • 3.6 Repeat Readings
                                                                                                                                                                                  • 3.7 Health & Safety
                                                                                                                                                                                    • 3.8 Data Collection
                                                                                                                                                                                      • 3.9 Uncertainty & Systematic Errors
                                                                                                                                                                                        • 3.10 Wider Implications
                                                                                                                                                                                        • Practical Skills I: Implementation & Measurements
                                                                                                                                                                                          • 3.11 Number of Readings
                                                                                                                                                                                            • 3.12 Range of Measurements
                                                                                                                                                                                              • 3.13 Significant Figures
                                                                                                                                                                                                • 3.14 Anomalous Readings
                                                                                                                                                                                                  • 3.15 Using a Micrometer
                                                                                                                                                                                                    • 3.16 Evaluating Experiments
                                                                                                                                                                                                    • Practical Skills I: Processing Results
                                                                                                                                                                                                      • 3.17 Calculations using Experimental Data
                                                                                                                                                                                                        • 3.18 Plotting Graphs
                                                                                                                                                                                                          • 3.19 Using Units Correctly
                                                                                                                                                                                                            • 3.20 Identifying Graphical Relationships
                                                                                                                                                                                                              • 3.21 Interpreting Graphs
                                                                                                                                                                                                                • 3.22 Reducing Errors
                                                                                                                                                                                                                  • 3.23 Suggesting Improvements
                                                                                                                                                                                                                    • 3.24 Uncertainties
                                                                                                                                                                                                                      • 3.25 Determining Uncertainty


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                                                                                                                                                                                                                    Author: Joanna



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