A potential difference of 0.994 V is applied across a 170 m long,11-gauge wire copper wire.What is the current in the wire?

Question

Quizplus · Accepted Answer

To determine the current in the wire, we can use Ohm's Law, which states that V = IR, where V is the voltage, I is the current, and R is the resistance of the wire.

To find the resistance of the wire, we can use the formula:

R = ρL/A

where ρ is the resistivity of copper (1.68 × 10^-8 Ωm), L is the length of the wire (170 m), and A is the cross-sectional area of the wire. The cross-sectional area of an 11-gauge wire is approximately 4.67 × 10^-6 m^2.

Plugging in these values, we find:

R = (1.68 × 10^-8 Ωm)(170 m)/(4.67 × 10^-6 m^2) = 0.614 Ω

Now we can use Ohm's Law to find the current:

I = V/R = 0.994 V/0.614 Ω = 1.42 A

Therefore, the answer is A.

A Potential Difference of 0