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If a current of #7 A# passing through a circuit generates #35 W# of power, what is the resistance of the circuit?

Answer 1

Nathan Ashcroft

You need to use #P= I^2*R#

P stands for power (35W) and I for current (7A) in the example above. Replace these values to get R.

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Answer 2

Charles Aeschliman

Using the formula for power ( P = I^2R ), where ( P ) is power in watts, ( I ) is current in amperes, and ( R ) is resistance in ohms, we can rearrange the formula to solve for resistance:

[ R = \frac{P}{I^2} ]

Substitute the given values:

[ R = \frac{35 \text{ W}}{(7 \text{ A})^2} ]

[ R = \frac{35 \text{ W}}{49 \text{ A}^2} ]

[ R \approx 0.714 \text{ ohms} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.