In the movie Back to the Future,time travel is made possible by a flux capacitor,which generates 1.21 GW of power.Assuming that a 3.00-F capacitor is charged to full charge with a 12.0-V car battery and is discharged through a resistor,what is the resistance necessary to produce a peak power output of 1.21 * 10⁹ W in the resistor? A)9.92 * 10^-9 ohm B)8.72 * 10^-8 ohm C)1.19 * 10^-7 ohm D)1.79 * 10^-7 ohm E)3.57 * 10^-7 ohm

Question

Quizplus · Accepted Answer

The peak power output of the resistor can be calculated using the formula:

P = (1/2)CV^2

where P is the power, C is the capacitance, and V is the voltage.

Substituting the given values, we get:

P = (1/2)(3.00 F)(12.0 V)^2
P = 648 W

To find the resistance necessary to produce a peak power output of 1.21 GW, we can use the formula:

P = V^2/R

where R is the resistance.

Substituting the given values, we get:

1.21 GW = (12.0 V)^2/R
R = (12.0 V)^2/1.21 GW
R = 1.19 x 10^-7 ohm

Therefore, the correct answer is C) 1.19 x 10^-7 ohm.

In the Movie Back to the Future,time Travel Is Made