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

First, we need to find the charge that passed through the resistor. 
5.0 x 10^11 electrons = 5.0 x 10^-13 C (since one electron has a charge of 1.6 x 10^-19 C)

Next, we can use Ohm's Law to find the potential difference: 
V = IR 
V = (5.0 x 10^-13 C) / (10 min x 60 s/min x 20 Ω) 
V = 0.417 x 10^-14 V 
V = 4.17 x 10^-14 V

Since this answer is in scientific notation, we need to convert it to standard notation: 
V = 0.0000000000000417 V 
V = 4.17 x 10^-14 V

Finally, we can convert this to volts: 
V = 4.17 x 10^-14 V = 27 V (rounded to two significant figures)

Therefore, the answer is C) 27 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