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13 Nov 2019
An LRC series circuit has inductance 1 h, resistance 2 ohms and capacitance 0.1 f. The initial charge on the capacitor and current in the circuit are q(0) = i(0) = 0. At time t = 0, a unit pulse voltage is applied to the circuit so that the charge satisfies L(d^2q/dt2) + R(dq/dt )+(1/C)q = δ(t). The function δ(t) satisfies L {δ(t)} =1. Find the charge on the capacitor q for t > 0 using the method of Laplace transforms.
An LRC series circuit has inductance 1 h, resistance 2 ohms and capacitance 0.1 f. The initial charge on the capacitor and current in the circuit are q(0) = i(0) = 0. At time t = 0, a unit pulse voltage is applied to the circuit so that the charge satisfies L(d^2q/dt2) + R(dq/dt )+(1/C)q = δ(t). The function δ(t) satisfies L {δ(t)} =1. Find the charge on the capacitor q for t > 0 using the method of Laplace transforms.
Reid WolffLv2
20 Jul 2019
