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Misha Larkins [42]
3 years ago
6

A series RL circuit with L = 3.00 H and a series RC circuit with C = 3.00 F have equal time constants. If the two circuits conta

in the same resistances R, (a) what is the value of R and (b) what sit the time constant?
Physics
1 answer:
Tems11 [23]3 years ago
6 0

Answer:

(a) R = 1Ω

(b) τ = 3

Explanation:

The time constants of the given circuits are as follows

\tau_{RL} = \frac{L}{R}\\\tau_{RC} = RC

If the two circuits have equal time constants, then

\frac{L}{R} = RC\\R^2 = \frac{L}{C} = \frac{3}{3} = 1\\R = 1\Omega

Therefore, the time constant in any of the circuits is

\tau = RC = 3

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