# The step response of the system

Problem 1 only. See attached file for full problem description.

In the following circuit, v1(t) is the input voltage and v2(t) is the output voltage. Calculate the step response of the system. i.e., calculate the output v2(t) when the input is a unit step function.

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#### Solution Preview

Please see the attached file for detailed solution.

First the current flowing through the capacitor:

R2 is in parallel with R3 and the capacitor C, so

Therefore, the current on R2 is

According to KCL, the current on R1 is

The source voltage is

Plug in R and C values, (change ...

#### Solution Summary

The solution is comprised of detailed steps of calculations of the step response of the system.

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