calculate for V(t) ?? The switch in the circuit of Figure 1 has been in position A

calculate for V(t)

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The switch in the circuit of Figure 1 has been in position A for a long time. At t=0, it is moved to position B. The resulting step response of the series RLC circuit is described by the second-order differential equation (1). R L B A (T) c=v Figure 1 d²v R dv V V₂ + + dt² L dt LC LC (1) The solution to equation (1) has two components: the transient response v₂(t) and the steady state response, Vss(t). v(t) = V:(t) + Vss(t) The transient response v.(t) is the same as that for the source-free case : v, (t) = A₁e¹ + A₂e³¹¹ = (A₁ + A₂t)e- = e(A₁ cos@at + A₂ sin wat) R where a == 21 1 √LC @₁ = √²-a² @= and = @C for a> (overdamped) for a wo (critically damped) for a B. Obtain a complete expression for v(t) in the circuit of Figure 1, if V DC 6V, R = 1kQ, C = 10nF, and L= 110mH. The switch in the circuit of Figure 1 has been in position A for a long time. At t=0, it is moved to position B. The resulting step response of the series RLC circuit is described by the second-order differential equation (1). R L B A (T) c=v Figure 1 d²v R dv V V₂ + + dt² L dt LC LC (1) The solution to equation (1) has two components: the transient response v₂(t) and the steady state response, Vss(t). v(t) = V:(t) + Vss(t) The transient response v.(t) is the same as that for the source-free case : v, (t) = A₁e¹ + A₂e³¹¹ = (A₁ + A₂t)e- = e(A₁ cos@at + A₂ sin wat) R where a == 21 1 √LC @₁ = √²-a² @= and = @C for a> (overdamped) for a wo (critically damped) for a B. Obtain a complete expression for v(t) in the circuit of Figure 1, if V DC 6V, R = 1kQ, C = 10nF, and L= 110mH.

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Given for teo i 0 0 f V I0 0 for t20 the Ciruit would be ... View the full answer