An RC circuit has an equivalent resistance of 2000 ohms and a time constant of 94 ms, what is the equivalent capacitance of the circuit?
Question
An RC circuit has an equivalent resistance of 2000 ohms and a time constant of 94 ms, what is the equivalent capacitance of the circuit?
Solution
The time constant (τ) of an RC circuit is the product of the resistance (R) and the capacitance (C). It is given by the formula:
τ = RC
We can rearrange this formula to solve for the capacitance:
C = τ / R
Given that τ = 94 ms = 0.094 s (since 1 ms = 0.001 s) and R = 2000 ohms, we can substitute these values into the formula:
C = 0.094 / 2000 = 0.000047 F = 47 µF
So, the equivalent capacitance of the circuit is 47 µF.
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