Alternating CurrentHard

Question

A coil of inductance 8.4 mH and resistance 6Ω is connected to 12 V battery. The current in the coil is 1 A at approximately the time

Options

A.500 s
B.20 s
C.35 ms
D.1 ms

Solution

The current-time (i-t) equation in L-R circuit is given by
[Growth of current in L-R circuit]
      i = i0(1-e-t/tL)     ........(i)
where     
and      
and      
and       i = 1A
            t = ?
Substituting these values in Eq. (i), we get
        t = 0.97 × 10-3s
or     t = 0.97 ms
        t 1 ms

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