For a voltage step input of size V at t= 0 into a series CR circuit the different equation for the potential difference across the capacitor v is given by

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Q4

Task 4
a. For a voltage step input of size V at t= 0 into a series CR circuit the differential
equation for the potential difference across the capacitor vc is given by
V = RC dvc+Vc
dt
Vc is zero at t = 0. Use Laplace transforms to solve this equation.
b. Use Laplace transforms to solve this equation
3f (t) + 2f(t) = t where f(0) = -2
Transcribed Image Text:Task 4 a. For a voltage step input of size V at t= 0 into a series CR circuit the differential equation for the potential difference across the capacitor vc is given by V = RC dvc+Vc dt Vc is zero at t = 0. Use Laplace transforms to solve this equation. b. Use Laplace transforms to solve this equation 3f (t) + 2f(t) = t where f(0) = -2
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