Find the output voltage of the integrator

Find the output voltage of the integrator

a) V_o = (1/R×C_F)×^t∫₀ V_indt+C

b) V_o = (R/C_F)×^t∫₀ V_indt+C

c) V_o = (C_F/R)×^t∫₀ V_indt+C

d) V_o = (R×C_F)×^t∫₀ V_indt+C

Answer:

a) V_o = (1/R×C_F)×^t∫₀ V_indt+C

Explanation:

The output voltage is inversely proportional to the time constant RCF and directly proportional to the negative integral of the input voltage.
Vo = (1/R×CF)×t∫0 Vindt+C
Where C denotes the integration constant and CF denotes the feedback capacitor.

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