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Current Electricity: Exploring Resistance, Power, and Circuits in A-Level Science

What Is Current Electricity?

Current electricity is the flow of electric charge through a conductor, driven by a potential difference.

Key Concepts in Current Electricity

Ohm’s Law

The relationship between voltage (V), current (I), and resistance (R):

    \[ V = IR \]

Power (P) in Circuits

The rate of energy transfer:

    \[ P = IV \]

Other forms:

    \[ P = I^2R \quad \text{or} \quad P = \frac{V^2}{R} \]

Energy (E)

Energy transferred in a circuit:

    \[ E = Pt \]

Where t is time (seconds).

Circuit Analysis

Series Circuits

  • Total resistance: R_{\text{total}} = R_1 + R_2 + \dots

Parallel Circuits

  • Total resistance: \frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \dots

Applications of Current Electricity

Home Appliances

Devices use current electricity for operation.

Power Grids

Electricity distribution relies on circuits and resistance management.

Medical Devices

Pacemakers and ECG machines depend on precise electrical currents.

Example Problem

A 12 \, \text{V} battery powers a 4 \, \Omega resistor. Find the current and power.

  1. Current (I):
  2.     \[   I = \frac{V}{R} = \frac{12}{4} = 3 \, \text{A}   \]

  3. Power (P):
  4.     \[   P = IV = 3 \cdot 12 = 36 \, \text{W}   \]

Common Mistakes

  1. Mixing up series and parallel resistance formulas.
  2. Forgetting to square terms in power equations (e.g., I^2R).
  3. Neglecting unit consistency (e.g., time in seconds).

Practice Questions

  1. A 24 \, \text{V} battery powers two 6 \, \Omega resistors in series. Calculate the total resistance and current.
  2. Explain the differences between series and parallel circuits.
  3. Describe one real-world application of electrical power in medical devices.

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