Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A capacitor with an initial potential difference of 126 V is discharged through

ID: 1873690 • Letter: A

Question

A capacitor with an initial potential difference of 126 V is discharged through a resistor when a switch between them is closed at t = 0 s. At t = 10.0 s, the potential difference across the capacitor is 1.73 V. (a) What is the time constant of the circuit? (b) What is the potential difference across the capacitor at t = 15.1 s?

(a) Number Enter your answer for part (a) in accordance to the question statement Units Choose the answer for part (a) from the menu in accordance to the question statement

This answer has no units° (degrees)mkgsm/sm/s^2NJVWAkg·m/s or N·sN/m^2 or Pakg/m^3

Explanation / Answer

In a RC circuit Voltage as a function of time for discharging is given by

V=Voe-t/T

=>1.73=126e-10/T

-10/T=Ln(1.73/126)=-4.288

T=2.332 s

b)

at t=15.1 s

V=126e-15.1/2.332

V=0.1942 Volts

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote