Question 6.67: An op amp integrator has R= 50 kΩ and C = 0.04 μF. If the in...

An op amp integrator has R= 50 kΩ and C = 0.04 μF. If the input voltage is v_{i}= 10 sin 50t mV, obtain the output voltage.

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\mathrm{v}_{\mathrm{o}} =-\frac{1}{\mathrm{RC}} \int \mathrm{vidt}, \mathrm{RC}=50 \times 10^{3} \times 0.04 \times 10^{-6}=2 \times 10^{-3}

 

\mathrm{v}_{\mathrm{o}} =\frac{-10^{3}}{2} \int 10 \sin 50 \mathrm{t} \mathrm{dt}

 

\mathrm{v}_{\mathrm{o}}={\mathbf{1} 00 \cos 50 \mathrm{t} \mathrm{mV}}

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