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Write the differential equation for the network - solve the


1. Given the electric network shown below in figure 1 below

a. Write the differential equation for the network if v(t) = u(t) , a unit step.

b. Solve the differential equation for the current, i(t), if there is no initial energy in the network.

c. Make a plot of your solution if R/L = 1.

1639_RL Network.jpg

2. Repeat the above using the network shown in figure 2 below. Assume R=2 ohms, L=1H and 1/LC=25

2098_RLC Network.jpg

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Electrical Engineering: Write the differential equation for the network - solve the
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