If 5.0 × 10²¹ electrons pass through a 20-Ω resistor in 10 min, 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 solve for the potential difference (V) across the resistor.

Ohm's Law: V = IR

where I is the current and R is the resistance.

To solve for I, we need to divide the total charge (Q) by the time (t):

I = Q/t

We are given the number of electrons that pass through the resistor, which we can convert to the total charge:

5.0 × 10^11 electrons = 5.0 × 10^-10 C

(We can use the fundamental charge of an electron, which is 1.6 × 10^-19 C, to convert from electrons to coulombs.)

Now we can solve for I:

I = Q/t = (5.0 × 10^-10 C)/(10 min × 60 s/min) ≈ 8.3 × 10^-14 A

Substituting into Ohm's Law:

V = IR = (8.3 × 10^-14 A) × (20 Ω) = 1.7 × 10^-12 V

The answer is not in the choices given, but we can use scientific notation to express it as:

Answer: none of the above
 The potential difference across the resistor is approximately 1.7 × 10^-12 V.

If 50 × 1021 Electrons Pass Through a 20-Ω Resistor in in 10

If 50 × 10²¹ Electrons Pass Through a 20-Ω Resistor in in 10