When a capacitor holding an initial electrical charge of 60 microcoulombs (µC) is discharged through an electrical circuit, the remaining charge on the capacitor is q(t) = 60e-t/4 , where t is time elapsed in seconds. (a) Find q'(t), the electrical current in the circuit, as a function of t. (b) When is the magnitude of the electrical current in the circuit the greatest, and what is its value at this time?

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...
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When a capacitor holding an initial electrical charge of 60 microcoulombs (µC) is discharged through an electrical circuit, the remaining charge on the capacitor is q(t) = 60e-t/4 , where t is time elapsed in seconds.

(a) Find q'(t), the electrical current in the circuit, as a function of t.

(b) When is the magnitude of the electrical current in the circuit the greatest, and what is its value at this time?

When a capacitor holding an initial electrical charge of 60 microcoulombs (uC) is discharged through an
electrical circuit, the remaining charge on the capacitor is q(t) = 60e t/4, where t is time elapsed in seconds.
(a) Find q'(t), the electrical current in the circuit, as a function of t.
(b) When is the magnitude of the electrical current in the circuit the greatest, and what is its value at this
time?
Transcribed Image Text:When a capacitor holding an initial electrical charge of 60 microcoulombs (uC) is discharged through an electrical circuit, the remaining charge on the capacitor is q(t) = 60e t/4, where t is time elapsed in seconds. (a) Find q'(t), the electrical current in the circuit, as a function of t. (b) When is the magnitude of the electrical current in the circuit the greatest, and what is its value at this time?
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