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
The power consumption of the electric drill is found by evaluating the expression in step 3.

Step by step solution

01

Conversion of Angle

The phase angle should be in radians for the calculation. Convert the provided phase angle from degrees to radians. The formula used is \(\theta = \frac{\pi * \text{angle}}{180}\). For this case, θ= \(\frac{\pi * 25}{180}\).
02

Calculate Power

Now calculate the power using the formula P = |V|.|I|.cosθ, with θ being the converted angle. For this problem, the power P = \(120 V * 4.6 A * cos(\frac{\pi * 25}{180})\).
03

Evaluate the Expression

Evaluate the expression to obtain the power consumption of the electric drill. Do the multiplication and the cosine calculation to get the answer.

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