Chapter 32: Q. 37 (page 925)

The motor of an electric drill draws a $3.5 A$ rms current at the power-line voltage of $120 V$ rms. What is the motor's power if the current lags the voltage by $20 °$ .

Short Answer

Expert verified

The motor's power is $394.98 W$ .

Step by step solution

Given Information

We have given that $I_{r m s} = 3.5 A$ and $V_{r m s} = 120 V$ and the phase angle $ϕ = 20 °$ .

We have to find the power of motor.

Formula Used

Now, using the formula

$P = I_{r m s} . V_{r m s} . \cos ϕ$ let this be equation 1

where P is the power of motor and $I_{r m s}$ is rms current and $V_{r m s}$ is rms voltage and $ϕ$ is the phase angle.

Simplify

Now, by putting all the values in equation 1,

We get,

$P = 3.5 \times 120 \times \cos 20 °$

On solving,

We get $P = 394.98 W$

Hence, the power of motor is $394.98 W$

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The motor of an electric drill draws a $3.5 A$ rms current at the power-line voltage of $120 V$ rms. What is the motor's power if the current lags the voltage by $20 °$ .

Short Answer

Step by step solution

Given Information

Formula Used

Simplify

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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

Step by step solution

Given Information

Formula Used

Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Scientific Method Physics

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Study anywhere. Anytime. Across all devices.

The motor of an electric drill draws a $3.5 A$ rms current at the power-line voltage of $120 V$ rms. What is the motor's power if the current lags the voltage by $20 °$ .