For a given series circuit: L = 2 H, C = 20 µF, and V = 10sin5t volts. Using Laplace transforms, find the current; I, as a function of time if the initial charge on the capacitor; q = 0. coulombs, and the initial current; i = 0 A, when t = 0
PLEASE HELP 5. (Five points) Consider an RLC circuit for which an inductor of L-1 H and capacitor C= 0.1 F are present. For the given forcing function f (t), use the Laplace transforms to determine the charge Q (t) and current I (t) in the circuit at time t if initially(0)-0 and I (0) 0. Determine the charge and current in the case when R-8 and f (t) 10e. Show all your work solving this equation
An RLC series circuit has a voltage source given by E(t)= 20 V, a resistor of 245 Q, an inductor of 7 H, and a capacitor of 0.05 F. If the initial current is zero and the initial charge on the capacitor is 9 C, determine the current in the circuit for t> 0. |(t) = (Type an exact answer, using radicals as needed.)
Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit 1-1 h, R-100 Ω, C-0.0004 f, E(t)-20 V, q(0)-0 C, i(0) 3 A Find the maximum charge on the capacitor. (Round your answer to four decimal places.) Need Help? Read It Talk to a Tutor Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit 1-1 h, R-100 Ω, C-0.0004 f, E(t)-20 V, q(0)-0 C, i(0) 3 A...
1. Use Laplace Transforms to determine the function modeling the current in an RLC circuit with L 10 Henries, R 20 ohms, C = 0.02 Farads, the initial charge is Q(0) = 0, the initial current is I(0) = 0, there is an electromotive force forcing the RLC circuit via the voltage function E(t) letting the current alternate naturally through the circuit. Use the fact the differential 10 sin (t), nd then, at t = 2T seconds, the battery is...
6. In a simple RCL series circuit with R = 100 Ω, C = 0.0004 F(farad), and L-1 H (henry) and the impressed voltage v) 30. Find the charge Q) on the capacitor in the circuit at any time tif the initial current i(0) 2.A and the initial charge on the capacitor is 0(0)-0 C(coulomb) The Second Order ODE for RCL series circuit is given by where Qis the charge, and the current I =a- de dt
Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. 5 h, R 2 1 f, E(t) 20 = 0 A 10 , C 200 V, q(0) 0 C, i(0) q(t) C i(t) A Find the maximum charge on the capacitor. (Round your answer to three decimal places.) C C II Find the charge q(t) on the capacitor and the current i(t) in the given LRC-series circuit. 5 h, R 2 1 f, E(t)...
3. Natural response, for ? > 0 of a series R-L-C circuit has R = 1 Ω , L = 1 H and C = 1 F. The initial capacitor voltage is 4 V, and initial inductor current is zero. The series current is i. (i) Draw the time domain circuit. (ii) Draw the Laplace transform domain circuit. (iii) From (ii), determine Io =Io (s) (iv) From (iii), determine ?? = ??(?) for t > 0
Find the the current I(t) in an LRC series circuit, using the given initial current and the charge on the capacitor, when L =0.02H, R =2ohms, c=0.001F, E(t)=150volts, Q(0)=5c and I(0)=0A. Please show each step with any explanation. Thanks
Find the the current I(t) in an LRC series circuit, using the given initial current and the charge on the capacitor, when L =0.02H, R =2ohms, c=0.001F, E(t)=150volts, Q(0)=5c and I(0)=0A. Please show each step with any explanation. Thanks
1) (40 pts total) Solving and order ODE using Laplace Transforms: Consider a series RLC circuit with resistor R, inductor L, and a capacitor C in series. The same current i(t) flows through R, L, and C. The voltage source v(t) is removed at t=0, but current continues to flow through the circuit for some time. We wish to find the natural response of this series RLC circuit, and find an equation for i(t). Using KVL and differentiating the equation...