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Chapter 18: Problem 105

A 1.5 -horsepower motor operates on \(120 \mathrm{V}\). Ignoring \(l^{2} R\) losses, how much current does it draw?

Short Answer

Expert verified
Answer: The current drawn by the motor is 9.325 amperes (A).

Step by step solution

01

Convert the power from horsepower to watts

To convert the power of the motor from 1.5 horsepower to watts, we can use the conversion factor: 1 horsepower = 746 watts. So, the power in watts is: Power (in watts) = 1.5 * 746 Power (in watts) = 1119 W
02

Use the formula for electrical power: Power = Voltage 脳 Current

We can now use the formula for electrical power to solve for the current drawn by the motor: Power = Voltage 脳 Current Rearrange the equation to solve for the current: Current = Power / Voltage
03

Substitute the given values and calculate the current

We have the power in watts (1119 W) and the voltage (120 V). Substitute these values into the equation to find the current: Current = 1119 W / 120 V Current = 9.325 A
04

Include units in the final result

The final step is to include the units in our result. The current drawn by the motor is 9.325 amperes (A).

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