If 4 x 10^21 electrons pass through a wire connected to a 15 ohm resistor in 3 s, how much electric

current does the wire have and what is the potential difference used in the wire?

1.) Current = 213.33A

2.) Potential difference = 3200 V

Explanation:

Given that

Number of electrons n = 4 x 10^21 electrons

Resistance R = 15 ohm

Time t = 3 s

From the definition of current;

Current is the rate of flow of changes. That is,

Current I = Q/t

Where

Q = 4 * 10^21 * 1.6 * 10^-19

Q = 460C

Current I = 460/3

Current I = 213.33 A

Using Ohms law which state that

V = IR

Substitute the resistance R and current I into the formula above

Potential difference V = 213.3 * 15

Potential difference V = 3200 V