Question

A silver wire with a diameter of 2.6 mm transfers a charge of 420 C in 80 min. The silver contains 5.8×10²⁸ free electrons per cubic meter. What is the current flowing through the wire?

Answer 1

The current flowing through the silver wire is 0.0875 Amperes.

Step-by-step explanation:

To find the current flowing through the wire, we need to use Ohm's law, which states that current (I) equals the charge (Q) divided by the time (t), represented by the equation I = Q/t. In this case, the given charge is 420 C and the time is 80 min, so the current flowing through the wire is:

I = 420 C / 80 min

First, we need to convert the time from minutes to seconds by multiplying it by 60:

I = 420 C / (80 min × 60 s/min)

I = 420 C / 4800 s

Now, we can calculate the current:

I = 0.0875 A

Therefore, the current flowing through the wire is 0.0875 Amperes.