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6. a. Draw an RLC circuit with a 0.3 N resistor, 0.1 H inductor, and 5 F capacitor connected in
series with an EMF E(t).
d i
b. Show that the circuit can be modelled by L
dt
+R+= E'(t).
di
c. Given E(t)
= 16 cos 2t. Solve the differential equation for the initial conditions
i(0) = i'(0) = 0.

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