If 5.0 *1021 electrons pass through a 20-$\Omega$resistor in 10 minutes, what is the potential difference across the resistor?
A)21 V
B)32 V
C)27 V
D)37 V
E)54 V

Question

Quizplus · Accepted Answer

We can use Ohm's Law to find the potential difference across the resistor:
V = IR
where V is the potential difference, I is the current, and R is the resistance.

First, we need to find the current:
I = Q/t
where Q is the charge and t is the time.

We are given the charge, which is:
Q = ne
where n is the number of electrons and e is the charge of one electron.

Substituting the given values, we get:
Q = (5.0 × 10^21)(1.6 × 10^-19) = 8.0 × 10^2 C

The time is given as 10 minutes, which is equivalent to:
t = 10 × 60 = 600 s

Substituting the known values, we get:
I = 8.0 × 10^2 C / 600 s = 1.33 A

Now we can use Ohm's Law to find the potential difference:
V = IR = (1.33 A)(20 Ω) = 26.6 V

Therefore, the closest answer choice is C) 27 V.

If 50 *1021 Electrons Pass Through a 20- Ω\OmegaΩ Resistor in 10 Minutes, What Is the Potential Difference Across

If 50 *1021 Electrons Pass Through a 20- $\Omega$ Resistor in 10 Minutes, What Is the Potential Difference Across