A ramp voltage V(t) = 100 V is applied to an RC differentiating circuit with R=5 kΩ and C = 4 μF. The maximum output voltage is

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  1. 0.2 V
  2. 2 V
  3. 10 V
  4. 50 V 

Answer (Detailed Solution Below)

Option 2 : 2 V
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Detailed Solution

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Concept:

In an RC differentiating circuit, the output voltage is proportional to the rate of change (derivative) of the input voltage. For a ramp input signal, , the derivative is constant: .

The output voltage for a differentiating circuit is given by:

Given

Ramp input: → so

R = 5 kΩ = 5000 Ω

C = 4 µF = F

Calculation

Using the formula:

 

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