Design a RC low pass filter with cut$-$off frequency of $1$ kHz $.$ Find one feasible combination of the R$,$ C values of the circuit.

What is the voltage gain of the filter circuit at $10$ kHz frequency?

$(10$ pts$)$

Hint: cut$-$off frequency $=$

Gain formula given in the lecture material

Design a RL low pass filter with cut$-$off frequency of $1$ kHz $.$ Find one feasible combination of the R$,$ L values of the circuit.

$(5$ pts$)$

Please solve the following question. Find the output voltage $(V_{\text{o}\text{u}\text{t}})$ in the following op$-$amp based circuit.

$(10$ pts$.)$

In this ciranit,

$v_{in}=10V$

Find $v_{\text{o}\text{u}\text{t}?}$

HINT: In an op$-$amp, the non$-$inverting $(+)$ and inverting $(-)$ inputs are of the same potentials.