An inductive coil has a resistance of `100 Omega`. When an AC signal of frequency 1000 Hz is applied to the coil, the voltage leads the current by `45

Question

An inductive coil has a resistance of `100 Omega`. When an AC signal of frequency 1000 Hz is applied to the coil, the voltage leads the current by `45

An inductive coil has a resistance of `100 Omega`. When an AC signal of frequency 1000 Hz is applied to the coil, the voltage leads the current by `45^(@)`. What is the inductance of the coil?
A. `1/(40 pi)H`
B. `1/(20 pi)H`
C. `1/(60 pi)H`
D. `1/(10 pi)H`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
In the L-R circuit, the current lags behind the voltage and phase difference `phi = 45^(@)`
`:. tan 45^(@) = 1 = (L omega)/R `
`:. L = R/(omega) = R/(2 pif) = (100)/(2 pi xx 1000) = 1/(20 pi) H`.

5 views Answered 2023-02-05 15:29