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Q. Draw and explain a differential circuit
A differentiator is a high pass RC circuit having a very small time constant. It is a circuit which gives an output voltage proportional to the derivative of the input voltage. A high pass RC circuit is a circuit, which allows only high frequency to pass through.
The output current I = C dVi/dt.
∴ V out= Rcdvi/dt
∴Vo ∝ d (vi)/dt
For a high pass RC circuit to act as differentiator time constant (t) of the circuit (RC) should be very much less than the input time period (T). Here if we give a constant input we get no output. For sine wave as input we get cosine wave as output. For square wave we get narrow pulses as output.
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