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The motor of an electric drill draws a 3.5Arms current at the power-line voltage of 120Vrms. What is the motor's power if the current lags the voltage by20°.

Short Answer

Expert verified

The motor's power is394.98W.

Step by step solution

01

Given Information

We have given that Irms=3.5Aand Vrms=120Vand the phase angle ϕ=20°.

We have to find the power of motor.

02

Formula Used

Now, using the formula

P=Irms.Vrms.cosϕlet this be equation 1

where P is the power of motor and Irmsis rms current and Vrmsis rms voltage and ϕis the phase angle.

03

Simplify

Now, by putting all the values in equation 1,

We get,

P=3.5×120×cos20°

On solving,

We get P=394.98W

Hence, the power of motor is394.98W

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