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A capacitor is connected to an ac generator that has a frequency of 3.6 kHz and

ID: 1795278 • Letter: A

Question

A capacitor is connected to an ac generator that has a frequency of 3.6 kHz and produces a voltage of 3.0 V. The current in the capacitor is 31 mA. When the same capacitor is connected to a second ac generator that has a frequency of 5.4 kHz, the current in the capacitor is 86 mA. What voltage does the second generator produce?
____ V A capacitor is connected to an ac generator that has a frequency of 3.6 kHz and produces a voltage of 3.0 V. The current in the capacitor is 31 mA. When the same capacitor is connected to a second ac generator that has a frequency of 5.4 kHz, the current in the capacitor is 86 mA. What voltage does the second generator produce?
____ V
____ V

Explanation / Answer

We know that V = i Xc

= 0.086*1/(2pi f C) because V = i/2pifC or 2piC = i/[fV]

= 0.086*1/(5400*0.031/[3600*3])

= 5.548 V answer