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Q.

An inductive coil has a resistance of 100 ohms. When an ac signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by $45^{0}$ . What is the inductance of the coil?

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a

2 mH

b

3.3 mH

c

16 mH

d

$\sqrt{5} m H$

answer is C.

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Detailed Solution

$h e r e ϕ = 45^{0} a n d ω = 2000 π a n d R = 100 o h m s$ tan $ϕ$ = $\frac{L ω}{R}$

Therefore L= $\frac{R}{ω} = \frac{100}{2000 \times 3.14} H = 16 m H$

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An inductive coil has a resistance of 100 ohms. When an ac signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by 450. What is the inductance of the coil?