the values of the elements of anRLC circuit are given. Solve the initial value problemdi- i(t) dr = e(t): i (0) = 0L.+ Ri +dtwith the given impressed voltage e(t).L = 1, R = 150, C = 2 x 10-4; e(t) = 100t if 0 < t < 1;e(t) = 0 if t21

Given: The initial value problem is Ldidt+Ri+1C∫0tiτdτ=et and the condition is i0=0. The given…

Answered: the values of the elements of an RLC…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose an RL circuit with a 1102 resistor and a 6H inductor is driven by the voltage E(t) = est V. If the initial resistor current is I(0) = 0A, find the current I, the voltages across the inductor E and the resistor ER in terms of time t. A I(t) = = ER(t) EL(t) = = V V
A 100-L tank was initially empty, but is to be filled with salt-and-water solution. The way the solution is being poured into the tank is through a device the controls the rate at which it is being poured. The controller ensures the solution is being poured at time t (minutes) with the expression (1 + cos(2t)) in liters per minute. It follows that the amount of salt for every liter of the solution being poured at time t (minutes) is described by the expression 0.2(1 + cos(2t)) in kilograms. This implies the rate the salt- and-water solution being poured into the tank alternately gets faster and slower. Determine which of the following differential equation describing the salt concentration S in the solution at any time t. O A. dS dt OB. dS dt OC. dS dt O D. dS dt = 0.2(1 + cos 21) ² = = = -0.2(1 + cos 21) ² 0.2 (1 + cos 21) ² 0.2 2 (1 + cos 21) ²
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Suppose an RL circuit with a 11 resistor and a 6H inductor is driven by the voltage E(t) est V. If the initial resistor current is I(0) OA, find the current I, the voltages across the inductor E₁ and the resistor ER in terms of time t. A I(t) = = ER(t) EL(t) = = = V V

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the values of the elements of an RLC circuit are given. Solve the initial value problem di - i(t) dr = e(t): i (0) = 0 L. + Ri + dt with the given impressed voltage e(t). L = 1, R = 150, C = 2 x 10-4; e(t) = 100t if 0 < t < 1; e(t) = 0 if t21