A simple capacitor filter fed by a full-wave rectifier develops \(14.5 \mathrm{~V} \mathrm{dc}\) at \(8.5 \%\) ripple factor. What is the output ripple voltage (rms)?

Short Answer

Expert verified
The output ripple voltage (rms) is approximately \(1.2325 V\).

Step by step solution

01

Convert Ripple Factor

The ripple factor is given as \(8.5\% \). Therefore, we first convert this percentage to a decimal by dividing by 100. We get the ripple factor = \(0.085\).
02

Determine DC output voltage

It's given that the simple capacitor filter's full-wave rectifier's DC output voltage is \(14.5 V\). We use this value to calculate the output ripple voltage.
03

Calculate Output Ripple Voltage

The formula to calculate the rms value of the output ripple voltage is as follows: \[ \text{Output ripple voltage (rms)} = \text{Ripple factor} \times \text{DC output voltage} \] So, Substitute the values we have for the ripple factor and the DC output voltage: \[ \text{Output ripple voltage (rms)} = 0.085 \times 14.5 V = 1.2325 V \]

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