This topic covers the fundamental principles of current electricity, including the relationships between current, potential difference, and resistance. It
Topic Synopsis
This topic covers the fundamental principles of current electricity, including the relationships between current, potential difference, and resistance. It extends to circuit analysis, including series and parallel configurations, potential dividers, and the effects of internal resistance, providing a foundation for understanding electrical power and energy transfer.
Key Concepts & Core Principles
- Ohm's Law: The current through a metallic conductor is directly proportional to the potential difference across it, provided temperature remains constant. This gives the equation V = IR.
- Kirchhoff's Laws: Kirchhoff's First Law (junction rule) states that the sum of currents entering a junction equals the sum leaving. Kirchhoff's Second Law (loop rule) states that the sum of e.m.f.s around a closed loop equals the sum of potential differences.
- Internal Resistance: Every real cell or battery has internal resistance (r), which causes a drop in terminal potential difference when current flows. The e.m.f. (ε) is related to terminal p.d. (V) by ε = V + Ir.
- I-V Characteristics: Components like resistors (ohmic), filament lamps (non-ohmic), diodes, and thermistors have distinct current-voltage graphs. Understanding these helps predict circuit behaviour.
- Power and Energy: Electrical power is given by P = IV = I²R = V²/R. Energy transferred is E = Pt = IVt, and the kilowatt-hour (kWh) is a unit of energy used in domestic contexts.
Exam Tips & Revision Strategies
- Always treat ammeters as having zero resistance and voltmeters as having infinite resistance unless stated otherwise
- Ensure units are consistent when using resistivity and power equations
- Use clear circuit diagrams to identify series and parallel components before calculating total resistance
- Remember that the potential divider formula (Vout = Vin * R2 / (R1 + R2)) only applies when the output is taken across R2
- Practice interpreting I-V characteristic graphs for different components
Common Misconceptions & Mistakes to Avoid
- Confusing potential difference with electromotive force
- Incorrectly applying Ohm's law to non-ohmic components like filament lamps
- Misinterpreting the effect of temperature on the resistance of thermistors and metals
- Failing to account for internal resistance in circuit calculations
- Incorrectly identifying the potential divider formula application
Examiner Marking Points
- Definition of current as rate of flow of charge (I = ΔQ/Δt)
- Definition of potential difference as work done per unit charge (V = W/Q)
- Ohm's law and the definition of resistance (R = V/I)
- Current-voltage characteristics for ohmic conductors, semiconductor diodes, and filament lamps
- Resistivity (ρ = RA/L) and the effect of temperature on resistance
- Superconductivity and its applications
- Conservation of charge and energy in DC circuits
- Resistor combinations in series and parallel