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# electrical

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a 700 Hz sine wave has an instantaneous voltage of 53.3 V when t=25 microseconds Calculate Voltage max and find v when t=50 microseconds

Dec 14, 2018

#1
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I'll assume the sine wave is 0 at t=0, i.e. zero phase shift.

$$A \sin(2\pi (700)(25\times 10^{-6}))=53.3V\\ A \sin\left(\dfrac{7\pi}{200}\right) = 53.3V\\ A = \dfrac{53.3}{\sin\left(\dfrac{7\pi}{200}\right)} =485.719V$$

$$A \sin(2\pi (700\times (50\times 10^{-6})) = 105.956V$$

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Dec 16, 2018