Question

The formula for electrical power (P, in watts) is where V is the voltage in volts and R is the resistance in ohms. For a particular brand of water heater, R is 32 ohms and P is 0.5 watts. The formula to find V is , and the voltage at which the heater operates is volts.

Answer 1

Answer: 4 V

Step-by-step explanation:

The formula for electrical power $P$ is:

$P=\frac{V^{2}}{R}$

Where:

$P=0.5 W$ is the water heater electrical power

$V$ is he water heater voltage

$R=32 \Omega$ is the electrical resistance

Isolating $V$:

$V=\sqrt{PR}$

$V=\sqrt{(0.5 W)(32 \Omega)}$

Hence:

$V=4 V$