Question #202612

An inductor is connected to an AC voltage source with peak voltage 35 V at 200 Hz, and the rms current is measured to be 52 mA. Calculate the inductance.

Give the value in henrys, to 2 decimal places.


1
Expert's answer
2021-06-03T13:55:26-0400

Gives

Vm=35VV_m=35V

n=200Hzn=200Hz

IRMS=52mAI_{RMS}=52mA

We know that

Im=IRMS2I_m=\frac {I_{RMS}}{\sqrt2}

Vm=ImXLV_m=I_mX_L

Put value


35=2×52×102×2π×200×L35=\sqrt2\times52\times10^{-2}\times2\pi\times200\times L

L=37.89×103L=37.89\times10^{-3} H


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