Which among the following condition is applicable for the output voltage in an integrator ?

Which among the following condition is applicable for the output voltage in an integrator?
A. Output voltage is directly proportional to negative integral of input voltage
B. Output voltage is directly proportional to positive integral of input voltage
C. Output voltage is inversely proportional to time constant RC
D. Output voltage is inversely proportional to phase constant.

a. A & D
b. B & D
c. A & C
d. B & C

Correct Answer : c. A & C

Explanation :

Integrator is basically a circuit where the output voltage forms an integral part of input voltage. If the feedback resistor gets replaced by a capacitor in a basic inverting amplifier, then the integrator circuit can be produced. If an input is in the form of a sinusoidal waveform then the output will generate a cosine waveform due to direct relationship of output voltage and negative negative integral of input voltage. Even, phase constant is not involved in case of differentiator & integrator. However, only the case of A & C is application from the integrator point of view.