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Q.

A long uniform coil of inductance ‘L and resistance ‘R’ is cut into ‘2’ equal parts the two parts are joined in parallel. Further this combination joined to a cell of emf ‘E’ then time constant of the circuit

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a

$\frac{L}{2 R}$

b

$\frac{L}{4 R}$

c

$\frac{2 L}{R}$

d

$\frac{L}{R}$

answer is D.

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Detailed Solution

$τ = \frac{L}{R}$

$here L becomes L / 4 and R becomes R / 4 L / R ratio remain constant$

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