QuestionJuly 6, 2025

Given the Power in Watts=4672 and Resistance in ohms=5 calculate the Current in Amperes. (Calculate to 2 decimal places). square

Given the Power in Watts=4672 and Resistance in ohms=5 calculate the Current in Amperes. (Calculate to 2 decimal places). square
Given the Power in Watts=4672 and Resistance in ohms=5 calculate the Current in
Amperes.
(Calculate to 2 decimal places).
square

Solution
3.9(289 votes)

Answer

30.57 Amperes Explanation 1. Use Power Formula The formula for power is **P = I^2 \cdot R** where P is power, I is current, and R is resistance. 2. Solve for Current Rearrange the formula to find current: **I = \sqrt{\frac{P}{R}}**. 3. Substitute Values Substitute P = 4672 Watts and R = 5 Ohms into the formula: I = \sqrt{\frac{4672}{5}}. 4. Calculate Current Calculate I: I = \sqrt{934.4} \approx 30.57 Amperes.

Explanation

1. Use Power Formula<br /> The formula for power is **$P = I^2 \cdot R$** where $P$ is power, $I$ is current, and $R$ is resistance.<br />2. Solve for Current<br /> Rearrange the formula to find current: **$I = \sqrt{\frac{P}{R}}$**.<br />3. Substitute Values<br /> Substitute $P = 4672$ Watts and $R = 5$ Ohms into the formula: $I = \sqrt{\frac{4672}{5}}$.<br />4. Calculate Current<br /> Calculate $I$: $I = \sqrt{934.4} \approx 30.57$ Amperes.
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