High School

If the wire described in the problem statement has a resistance of 65 ohms and a current of 2.5 A passes through it, what is the power dissipated in the wire?

A. 81.25 W
B. 97.5 W
C. 162.5 W
D. 203.125 W

Answer :

Final answer:

The power dissipated in a wire with 65 ohms of resistance and 2.5 A of current is 406.25 W. None of the given choices are correct.

Explanation:

The power dissipated in a wire can be calculated using the equation P = IV, where P is the power, I is the current, and V is the voltage. In this case, since the resistance is given, we can find the voltage using Ohm's law: V = IR. Substituting the values, we have V = (65 ohms)(2.5 A) = 162.5 V.

Therefore, the power dissipated in the wire is P = (2.5 A)(162.5 V) = 406.25 W which is not included in any of the options.