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a differentiator is one in which the output voltage is directly proportional to the time derivative of input voltage applied at input inverting terminal, where as non-inverting terminal is grounded.
resistor is connected as a feedback component, capacitor connected as a input component. Input is applied through the inverting terminal, V2 is grounded hence it is ZERO.
According to virtual ground If V2 is zero, similarly V1 is also ZERO.
By substituting the above values we get
required solution mentioned above.
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