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Q.

A series R-C combination is connected to an AC voltage of angular frequency ω=500 rad s−1. If the impedance of the R_C circuit is R1.25, find the time constant (in millisecond) of the circuit.

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Detailed Solution

Given, ω=500 rad s−1 and Z=R1.25
As impedance, Z=R2+1ωC2=R1.25⋅R2(1.25)=R2+1ωC2⇒1ωC=0.5R
or time constant (in millisecond).i.e. RC=10.5×500s−1=0.004s=4ms

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