The equations for the charge Q(t) and current i (t) in the following LRC circuit are Question 3 (...
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)...
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...
Q 3. In an LRC series circuit, the impressed voltage Elt) and the charge q(t) on the capacitor are related to cach other hy the linear socond-order ordinary differential equation, dey + R 1 g= E(t) . T dt df where L is the inductaice. R is the resistauce and C is the capacitance. Suppose we Icasure the charge on rhe capacitor for several valnes of t and obtain 1.4 1.0 1.1 1.2 1.3 32 22 24 28 21 where...
Question 4a Consider the LRC circuit shown below. At 0, the switch S is closed and a voltage Va-Vr = Vo cos wt is applied between A and F A -000i R. The equation describing the evolution of Q(t), the charge on the capacitor is CGiven Q0) amd #(o) - 0), the geteral solution of 1) may be written as (0), the general solution of (1) may be written as where Qc(t) as t0o, so after a long time, 2L...
For the following LRC circuit with periodic electric source v(t), find the steady-periodic current in the form isp(t) = I0 sin(ωt − δ), where I0 > 0 and 0 ≤ δ < 2π. (Round numerical values to two decimal places.) R = 20, L = 10, C = 0.01, v(t) = 800 cos(5t)
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 charge on the capacitor in an LRC-series circuit at t = 0.01 s when L = 0.05 h, R = 612, C = 0.005 f, E(t) = 0 V, q(0) = 8 C, and i(0) = 0 A. (Round your answer to four decimal places.) Determine the first time at which the charge on the capacitor is equal to zero. (Round your answer to four decimal places.)
Find the charge on the capacitor in an LRC-series circuit at t = 0.04 s when L = 0.05 h, R = 3 Ω, C = 0.02 f, E(t) = 0 V, q(0) = 7 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 = 0.03 s when L = 0.05 h, R = 6 Ω, C = 0.005 f, E(t) = 0 V, q(0) = 7 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
2. LRC series circuit. [10 pts.] Consider an LRC series circuit driven by an ac voltage source Vin Vo cos(wt). (a) Derive an expression for the real ac current in the circuit in terms of L, R, C, and a. (b) Determine the resonant frequency f, and angular frequency w, by direct differentiation of the current amplitude from part (a). Compare your result to LC (c) Determine the Q factor of this circuit in terms of L, R, and C....