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Q#1 Transient Analysis GATE EE 2021 NAT +2 marks -0 marks

A 100 Hz square wave, switching between 0V and 5V, is applied to a CR high-pass filter circuit as shown, The output voltage waveform across the resistor is 6.2V peak-to-peak, If the resistance R is 820Ω. then the value C is_________ μF. (Round off to 2 decimal places.)

Explanation:

Chart, histogram

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Diagram, schematic

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Diagram, engineering drawing

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For 1st half cycle, V0 = 5 – VC

For 2nd half cycle, V0 = -Vc

Vp-p = (5 – Vc min) – (-Vc max)

6.2 = 5 + Vc max – Vc min

Vc max – Vc min = 1.2 ………..(α)

For first half cycle i.e.

………(i)

Diagram, schematic

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………(ii)

 ……….(iii)

From (ii),

Using equation (iii),

As

And

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