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The time constants for a series RC circuit with a capacitance of 4.70 µF and a s

ID: 2309122 • Letter: T

Question

The time constants for a series RC circuit with a capacitance of 4.70 µF and a series RL circuit with an inductance of 3.50 H are identical. (a) What is the resistance R in the two circuits?


(b) What is the common time constant for the two circuits?
s
The time constants for a series RC circuit with a capacitance of 4.70 µF and a series RL circuit with an inductance of 3.50 H are identical. (a) What is the resistance R in the two circuits?


(b) What is the common time constant for the two circuits?
s
(a) What is the resistance R in the two circuits?


(b) What is the common time constant for the two circuits?
s

Explanation / Answer

a) time constant for RC circuit = RC

time constant for TL circuit =L/R

equating both we get R = (L/C)^1/2 = (3.50/4.70 *10^-6)^1/2 =862.95 ohm

b) time constant = RC= 862.95 * 4.70 * 10^-6 =4.055 * 10^-3 s

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