QuestionJuly 6, 2025

A 120.0 volt device is connected to an 17.1 ohm resistive-heating element. How much power in watts is being produced by the heating element? (Calculate to 2 decimal places). square

A 120.0 volt device is connected to an 17.1 ohm resistive-heating element. How much power in watts is being produced by the heating element? (Calculate to 2 decimal places). square
A 120.0 volt device is connected to an 17.1 ohm resistive-heating element. How much power
in watts is being produced by the heating element?
(Calculate to 2 decimal places).
square

Solution
4.1(272 votes)

Answer

842.11 watts Explanation 1. Identify the formula for power Use the formula **P = \frac{V^2}{R}** where P is power, V is voltage, and R is resistance. 2. Substitute values into the formula Substitute V = 120.0 volts and R = 17.1 ohms into the formula: P = \frac{(120.0)^2}{17.1}. 3. Calculate the power Compute the value: P = \frac{14400}{17.1} = 842.11 watts.

Explanation

1. Identify the formula for power<br /> Use the formula **$P = \frac{V^2}{R}$** where $P$ is power, $V$ is voltage, and $R$ is resistance.<br />2. Substitute values into the formula<br /> Substitute $V = 120.0$ volts and $R = 17.1$ ohms into the formula: $P = \frac{(120.0)^2}{17.1}$.<br />3. Calculate the power<br /> Compute the value: $P = \frac{14400}{17.1} = 842.11$ watts.
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