Recall and use the equation for electrical power P = I V

4.2.4 Resistance – Power in Circuits

Key Equation

In any circuit, the electrical power delivered by a source is given by \$P = I V\$ where \$I\$ is the current in amperes and \$V\$ is the voltage in volts.

Analogy: Water Flow 🚰

Think of the circuit as a water pipe. Current \$I\$ is like the flow rate of water, voltage \$V\$ is the pressure pushing the water, and power \$P\$ is the amount of work the water does per second. The higher the flow or the pressure, the more work is done.

Using the Equation

  1. Identify the current \$I\$ and voltage \$V\$ in the problem.
  2. Multiply them: \$P = I \times V\$.
  3. Check units: amperes × volts = watts.

Example Problem

⚡ A 12 V battery supplies a current of 2 A to a light bulb. What is the power of the bulb?

Solution: \$P = 2\,\text{A} \times 12\,\text{V} = 24\,\text{W}\$.

Practice Table

Current (A)Voltage (V)Power (W)
1.59\$13.5\$
3.05\$15\$
0.820\$16\$

Quick Check Questions

  • What is the power when a 5 V source drives 4 A?
  • How does the power change if the current doubles while voltage stays the same?
  • Explain why a high‑resistance bulb (low current) can still be bright if the voltage is high.

Summary

Remember: \$P = I V\$. The product of current and voltage gives the power in watts. Use this simple rule to solve any power‑related question in IGCSE Physics.