Using Laplace transform, find the load and current of the LRC series circuit where L =...

Using Laplace transform, find the load and current of the LRC series circuit where L = 1 / 2h, R = 10ohms, C = 1 / 30f, E (t) = 300V, q (0) = 0C, i (0 ) = 0A

Expert Solution

Colby Messinger answered 2 years ago

Using laplace transformations, find the charge and current of an LRC circuit in series where L=1/2h,...

Using laplace transformations, find the charge and current of an LRC circuit in series where L=1/2h, R=10ohm, C=1/50f, E(t)=300V, q(0)=0C, i(0)=0A. ( Lq'' + Rq' + (1/C)q = E(t) ). The answer is q(t) = 10 - (10e^-3t)cos(3t) - (10e^-3t)sin(3t) and i(t) = (60e^-3t)sin(3t).

Find the steady-state current ip(t) in an LRC-series circuit when L = 1 2 h, R...

Find the steady-state current ip(t) in an LRC-series circuit when L = 1 2 h, R = 20 Ω, C = 0.001 f, and E(t) = 100 sin(60t) + 200 cos(40t) V. ip(t)

Find the steady-state current ip(t) in an LRC-series circuit when L = 1/2 h, R =...

Find the steady-state current ip(t) in an LRC-series circuit when L = 1/2 h, R = 20 Ω, C = 0.001 f, and E(t) = 100 sin(60t) + 300 cos(40t) V.

Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit....

Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. L = 1 h, R = 100 Ω, C = 0.0004 f, E(t) = 30 V, q(0) = 0 C, i(0) = 5 A q(t)= I(t) Find the maximum charge on the capacitor. (Round your answer to four decimal places.)

2)If an LRC series circuit has a resistance of 20 ohms and an inductor of L...

2)If an LRC series circuit has a resistance of 20 ohms and an inductor of L = 1 H, find the capacitance C so that the circuit is critically damped. Solve this case with the external force is E(t)=32e^(-32t) volts, q(0)=0, q'(0)=5

Find the charge on the capacitor and the current in an LC-series circuit when L =...

Find the charge on the capacitor and the current in an LC-series circuit when L = 0.1 h, C = 0.1 f, E(t) = 100 sin(γt) V, q(0) = 0 C, and i(0) = 0 A.

Find the charge on the capacitor in an LRC-series circuit at t = 0.05 s when...

Find the charge on the capacitor in an LRC-series circuit at t = 0.05 s when L = 0.05 h, R = 3 Ω, C = 0.008 f, E(t) = 0 V, q(0) = 4 C, and i(0) = 0 A. (Round your answer to four decimal places.) C Determine the first time at which the charge on the capacitor is equal to zero. (Round your answer to four decimal places.) s

Find the charge on the capacitor in an LRC-series circuit at t = 0.04 s when...

Find the charge on the capacitor in an LRC-series circuit at t = 0.04 s when L = 0.05 h, R = 1 Ω, C = 0.04 f, E(t) = 0 V, q(0) = 5 C, and i(0) = 0 A. (Round your answer to four decimal places.) ___________C Determine the first time at which the charge on the capacitor is equal to zero. (Round your answer to four decimal places.) _____________s

Find the Laplace transform of d2y/dt2

1. Find the solution by using the Laplace transform. a) y ′′ + 2ty′ −4y =...

1. Find the solution by using the Laplace transform. a) y ′′ + 2ty′ −4y = 1 , y(0) = y ′ (0) = 0

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