The resistors in the circuits below each represent a light bulb. If all three circuits use the same size battery, which circuit will produce the most light?
1
I only % option
2
II only
3
III only
4
I, II, and III will produce the same amount of light
Official Solution
Correct Option: (1)
The power dissipated in a resistor (which corresponds to the brightness of the light bulb) is given by:
where: is the voltage (which is the same for all circuits), and is the resistance of the circuit. In circuit I, the resistance is the lowest, so it will produce the most power and thus the most light.
