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Chapter 28: Problem 32

An electric drill draws \(4.6 \mathrm{A}\) rms at \(120 \mathrm{V}\) rms. If the current lags the voltage by \(25^{\circ},\) what's the drill's power consumption?

Short Answer

Expert verified
In order to find power consumption expressed in Watts, plug all the values into the formula for power \(P = VIcos(胃)\). Don't forget to convert degrees to radians before plugging into the formula.

Step by step solution

01

- Understand the Problem and Given Values

Firstly, it needs to comprehend the problem and the information that has been provided. Here, the voltage \(V=120V\), the current \(I=4.6A\), both are given in rms, and the phase difference \(胃=25\) degrees where the current lags the voltage.
02

- Conversion of Degrees to Radians

Bring the phase difference (胃) in degrees to radians as the trigonometric functions in most calculators use radian measure. For this purpose, use the formula to convert degrees to radians: \(Rad = Deg * 蟺 / 180\). So, \(胃 = 25 * 蟺 / 180\)
03

- Application of Formula for Power

Apply the formula for power: \(P = VIcos(胃)\). Since the voltage and current are given in rms, no adjustment is needed. Just plug in the known values and evaluate.

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Most popular questions from this chapter

An AC current is given by \(I=495 \sin (9.43 t),\) with \(I\) in \(\mathrm{mA}\) and \(t\) in ms. Find (a) the rms current and (b) the frequency in Hz.

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Show that the unit of both capacitive and inductive reactance is the ohm.

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