Three capacitors are connected in series to an ac voltage source with amplitude 12.0 V and frequency 6.3 kHz. What are the peak voltages across each capacitor

The peak voltages across each capacitor are 6.0 V, 4.0 V and 2.0 V.

Explanation:

Given that,

Amplitude = 12.0 V

Frequency = 6.3 kHz

Suppose, Three capacitors are 2.0 μF, 3.0 μF and 6.0 μF

We need to calculate the equivalent capacitor

Using formula of series

Put the value into the formula

We need to calculate the charge

Using formula of charge

Put the value into the formula

The charge will be same in each capacitor because the capacitors are connected in series.

We need to calculate the voltage across first capacitor

Using formula of voltage

Put the value into the formula

We need to calculate the voltage across second capacitor

Using formula of voltage

Put the value into the formula

We need to calculate the voltage across third capacitor

Using formula of voltage

Put the value into the formula

Hence, The peak voltages across each capacitor are 6.0 V, 4.0 V and 2.0 V.

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~mia