Consider the following LRC-series circuit. L = 1 h, R = 100 N, C = 0.0004 f, E(t) = 20 V, q(0) = 0 C, ¡(0) = 3 A Find the general solution for charge q(t) on the capacitor. q(t) = Find the initial conditions. |c |C/s q(0) = q'c0) = Find the charge q(t) on the capacitor and the current i(t). q(t) i(t) A
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- To a series circuit, in which the capacitance is 15 x10 -6(farads) and the resistance is 1500 (ohms), a voltage of 210 V (volts). Evaluate (a) The capacitor charge if i(0) = 0.5.(b) Determine the charge q(t) and the current i(t) for t = 1.5 seconds.(c) Determine the load when t →∞Consider the RLC circuit shown below, where the initial current flowing through the circuit at time t=0 is I_0 = 5, and the initial charge on the capacitor at time t=0 is Q_0 = 2. The components have values of R = 100 ohms, L = 5H, and C = 1/450,500 F. Write a differential equation for Q(t), the charge across the capacitor, assuming the voltage source V(t)=0.A 200 Ω resistor is connected in series with a 4.00 μF capacitor and an ac source. The voltage across the resistor is given by vR = (5.00 V) cos [(800 rad/s) t]. What is the reactive capacitance and the instantaneous voltage across the capacitor? A. 7.90 x 10^-5 F B. 7.50 x 10^-4 F C. 3.95 x 10^-3 F D. 7.90 x 10^-3 F Pls provide a correct solution, i'll upvote
- In an oscillating series RLC circuit, find the time required for the maximum energy present in the capacitor during an oscillation to fall to half its initial value.Assume q = Q at t = 0.In an RC series circuit, ε = 12.0 V, R = 1.92 MΩ, and C = 1.51 µF. (a) Calculate the time constant. (b) Find the maximum charge that will appear on the capacitor during charging. (c) How long does it take for the charge to build up to 9.98 µC?find the total capacitance if the given circuit a. 1µF b.2µF c.3µF d.4µF
- A 200 Ω resistor is connected in series with a 4.00 μF capacitor and an ac source. The voltage across the resistor is given by VR = (5.00 V) cos [(800 rad/s) t].What is the reactive capacitance and the instantaneous voltage across the capacitor? A. 7.90 x 10-5 FB. 7.50 x 10-4 FC. 3.95 x 10-3 FD. 7.90 x 10-3 FFind 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) = 3 C, and i(0) = 0 A. (Round your answer to four decimal places.) CDetermine the first time at which the charge on the capacitor is equal to zero. (Round your answer to four decimal places.) sA sinusoidally varying voltage is represented by V(t) = (62.5 V)sin(116 x 3.14t) What are its frequency and peak voltage?
- Consider a series RLC circuit for which R = 150 Ω, L = 20.0 mH, ΔVrms = 20.0 V, and ω = 5 000 s-1. Determine the value of the capacitance for which the current is a maximum.Consider a series RC circuit for which R = 1.00 MΩ, C = 5.00 μF, and ε = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is closed. (c) Find the current in the resistor 10.0 s after the switch is closed.Consider a series RC circuit as in the figure below for which R = 8.00 MΩ, C = 1.00 µF, and = 32.0 V. The circuit is a rectangular loop. The bottom side of the loop has a battery labeled emf ℰ, oriented with the positive terminal to the right of the negative terminal. The right side has a resistor R. The top side contains an open switch S. The left side has a capacitor C. (a) Find the time constant of the circuit. s(b) What is the maximum charge on the capacitor after the switch is thrown closed? µC(c) Find the current in the resistor 10.0 s after the switch is closed. µA