Home > Physics > Electric Power

If a current of #3 A# passing through a circuit generates #35 W# of power, what is the resistance of the circuit?

Answer 1

Amelia Adams

Current squared by Resistance gives power.

R = 35/9 = 3.88 ohms since 3 x 3 x R = 35.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Parker Abbott

The resistance of the circuit is 11.67 ohms.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Lily Adams

To find the resistance of the circuit, we can use the formula for power, which relates power (P), current (I), and resistance (R):

[ P = I^2 \times R ]

Given that the current (I) is 3 A and the power (P) is 35 W, we can rearrange the formula to solve for resistance (R):

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

[ R = \frac{35 , \text{W}}{(3 , \text{A})^2} ]

[ R = \frac{35 , \text{W}}{9 , \text{A}^2} ]

[ R = 3.89 , \Omega ]

So, the resistance of the circuit is approximately 3.89 ohms.

By signing up, you agree to our Terms of Service and Privacy Policy

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.