Current Electricity and Electrical InstrumentHard

Question

A virtual current 4A and 50 Hz flows in an circuit containing a coil the power consumed in the coil is 240 W. If the virtual voltage across the coil is 100V then its inductance of coil will be :-

Options

A.H
B.H
C.H
D.H

Solution

P = vrms Irms cosφ
240 = 100 × 4 cosφ
cosφ =
∴   Z = = 25
⇒ R = 15Ω
= 25Ω ⇒ XL2 = = 625 - 225 ⇒ XL = 20Ω
P = vrms Irms cosφ
240 = 100 × 4 cosφ
cosφ =
∴   Z = = 25
⇒ R = 15Ω
= 25Ω ⇒ XL2 = = 625 - 225 ⇒ XL = 20Ω

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