Answer to Question #200352 in Electrical Engineering for A jaif

Question #200352

A 10mV, 2KHz sinusoidal signal is applied to the input of an op-amp integrator for which R=100 kΩ and C=1 μF. Find the output voltage.


1
Expert's answer
2021-05-31T06:18:38-0400

"V_o=-\\frac{1}{RC}\\int v_idt"

"v_{in}= v_msin \\omega t=10 sin 2\\pi ft=10 sin4000 \\pi t \\space mV"

So, "\\frac{-1}{100*10^3*1*10^{-6}}\\int 10 sin 4000 \\pi tdt \\space mV = \\frac{0.025}{\\pi}cos 4000 \\pi t \\space \\space mV"


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