An inductive coil has a resistance of 100Ω . When an A.C. signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by 4 5 ∘ . What is the approximate inductance of the coi

Question

An inductive coil has a resistance of 100Ω . When an A.C. signal of frequency 1000 Hz is fed to the coil, the applied voltage leads the current by 4 5 ∘ . What is the approximate inductance of the coil?

TestHub · Accepted Answer

We know that tan ϕ = ω L / R ∴ L = ω R tan ϕ ​ = 2 π n R tan ϕ ​ = 2 π × 1000 100 × tan 4 5 ∘ ​ = 15.9 × 1 0 − 3 = 16 m H

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