An inductor of 2 henrys, a resistor of 16 ohms and a capacitor of 0.02 farads are connected in series with an e.m.f. of E volts. At t=0 the charge on the capacitor and current in the circuit are zero. Find the charge and current at any time t> 0 if E= 300 (volts). Suppose q (t) and i(t) be the instantaneous charge and current respectively at time t. By Kirchhoff's law's, the differential equation for the circuit is: L + Ri+= E; with di dt q (0) dq = = 0, i(0) = q (0) = 0 [Note: i = dt

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An inductor of 2 henrys, a resistor of 16 ohms and a capacitor of 0.02
farads are connected in series with an e.m.f. of E volts. At t=0 the charge
on the capacitor and current in the circuit are zero. Find the charge and
current at any time t> 0 if E= 300 (volts). Suppose q (t) and i(t) be the
instantaneous charge and current respectively at time t. By Kirchhoff's
law's, the differential equation for the circuit is: L + Ri+²=E; with
di
dt
dq-
q (0) = 0, i(0) = q (0) = 0 [Note: i =
dt
Transcribed Image Text:An inductor of 2 henrys, a resistor of 16 ohms and a capacitor of 0.02 farads are connected in series with an e.m.f. of E volts. At t=0 the charge on the capacitor and current in the circuit are zero. Find the charge and current at any time t> 0 if E= 300 (volts). Suppose q (t) and i(t) be the instantaneous charge and current respectively at time t. By Kirchhoff's law's, the differential equation for the circuit is: L + Ri+²=E; with di dt dq- q (0) = 0, i(0) = q (0) = 0 [Note: i = dt
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