A source free RLC circuit is shown in the Figure 4: +V (t); 3mH 1.80 1.333 mF Figure 4 (a) Determine the damping condition of this circuit. (b) Derive the expression of the current i(t) equation for t> 0 s. The initial condition, i(0) = 0.5 A and v(0) = 10 V Hint: i(t) = e-at(A cos wat + B sin wat) and v(t) = L di dt

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A source free RLC circuit is shown in the Figure 4:
+V (t);
3mH
1.80
1.333 mF
Figure 4
(a) Determine the damping condition of this circuit.
(b) Derive the expression of the current i(t) equation for t> 0 s. The initial condition,
i(0) = 0.5 A and v(0) = 10 V
Hint: i(t) = e-at(A cos wat + B sin wat) and v(t) = L
di
dt
Transcribed Image Text:A source free RLC circuit is shown in the Figure 4: +V (t); 3mH 1.80 1.333 mF Figure 4 (a) Determine the damping condition of this circuit. (b) Derive the expression of the current i(t) equation for t> 0 s. The initial condition, i(0) = 0.5 A and v(0) = 10 V Hint: i(t) = e-at(A cos wat + B sin wat) and v(t) = L di dt
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