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A coil of inductance 2 H and resistance ...

A coil of inductance `2 H` and resistance `10 Omega` are in a series circuit with an open key and a cell of constant `100 V` with negligible resistance. At time `i = 0`, the key is closed. Find
(a) the time constant of the circuit.
(b) the maximum steady current in the circuit.
(c) the current in the circuit at `f =1 s`.

Text Solution

Verified by Experts

a. `tau_L=L/R2/10=0.2s`
`b.i_0=ER=100/10=10A`
c.` i=i_0(1-e^(-t//tau_L))`
`=10(1-e^(-1//0.2))`
`=9.93A`
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