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).

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

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

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 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.

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 All the following Laplace Transformations once using the definition of Laplace Transformation and then using...

Find All the following Laplace Transformations once using the definition of Laplace Transformation and then using the memorized Laplace Table relationships: L[sin⁡(ω*t)] L[(e-5t)cos⁡(6t)] L[(e-5t)(t2)]

In a LR circuit, R=10Ωand L=2H. If an alternating voltage of 120V and 60Hz is connected in this circuit, then the value current flowing in it will be?

n a series LRC circuit with a resistor of (R= 179 ohms) and a capacitor of...

n a series LRC circuit with a resistor of (R= 179 ohms) and a capacitor of (C= 92 uF) and an Inductor of ( L= 7 mH) . If the circuit is driven by an AC voltage of 144 volts , at 96 Hz , what is the current in the circuit in Amps?

Subjects