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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.

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cryssatemp

Answer: 4 V

Step-by-step explanation:

The formula for electrical power [tex]P[/tex] is:

[tex]P=\frac{V^{2}}{R}[/tex]

Where:

[tex]P=0.5 W[/tex] is the water heater electrical power

[tex]V[/tex] is he water heater voltage

[tex]R=32 \Omega[/tex] is the electrical resistance

Isolating [tex]V[/tex]:

[tex]V=\sqrt{PR}[/tex]

[tex]V=\sqrt{(0.5 W)(32 \Omega)}[/tex]

Hence:

[tex]V=4 V[/tex]

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