ElectroMagnetic InductionHard

Question

In a series L−R  growth circuit, if maximum current and maximum induced emf in an inductor of inductance 3mH are 2A and 6V respectively, then the time constant of the circuit is :

Options

A.1 m sec.
B.1/3 m/sec.
C.1/6 m/sec
D.1/2 m/sec

Solution

i = i0(1 − e−t/τ)
|e| = L = e-t/τ       ..........(i)
also |e| = emax e-t/τ                ........(2)
From (1) and (2)    
emax = ⇒ τ = = = 1m/sec.

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