Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Find the current (iL) on the inductor for t>0. Find when (t in miliseconds) does the current (iL) reduces to half of its initial value?
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- Natural Response of RLC Circuit The given circuit is switched at t = 0 after reaching steady-state, find the following value of: 1. v(in volts) and dv/vt(in V/s) at t = 0? 2. i(0+) in Amperes? 3. di/dt(in A/s) at t = 0+? 4. What is the charge in capacitor at steady state?arrow_forwardsolve Q 7,8,9arrow_forwardThe equation relating x(t) to y(t) is given by y(t) = (d2x)/(dt2)+6(dx)/(dt)+8x where y(t) = 3cos*5t*u(t) 1. Which of the following terms may be present in the transient response of x(t)? Choose all that apply. a. Ke2t b, Ke-2t c. Ke4t d. Ke-4t e. Kcos(5t) f. Ksin(5t) g. Ku(t) 2. Which of the following terms may be present in the steady-state response of x(t)? Choose all that apply. a. Ke2t b, Ke-2t c. Ke4t d. Ke-4t e. Kcos(5t) f. Ksin(5t) g. Ku(t)arrow_forward
- The initial voltage across the capacitor at t = 0 in the circuit shown is 2V. Voltage Vs is applied at t = 0; that is, Vs = 10 u(t) V. Find voltage v(t), t >= 0, across the capacitor.arrow_forwardIf ? = 50Ω, L = 1.5H, what value of C will cause a sourceless series RLC circuit to be a) overdamped ?, b) critically damped ?, c) underdamped?arrow_forwardDesign an RLC circuit with 6 uH inductance and 1 uF capacitance. Calculate the minimum value of resistance (R) for the circuit to be damped? What is the oscillation frequency of the circuit if R=1 ohms?arrow_forward
- A series LR circuit has a variable inductor with theinductance L(t) is defined by intervals.Find the current i(t) if the resistance is 0.2 ohms, the voltageapplied is E(t) = 4 volts; knowing that i(0) = 0.arrow_forward1) The circuit shown below is initially, for t < 0, with capacitor C connected to a battery (Vbat = 12 V).The key is switched at t = 0, disconnecting the battery and turning on the capacitor to the rest of the circuit.a)Calculate the circuit current in the time domain, i(t).b) In practice, after how long can the energy stored in the circuit be considered to be irrelevant (close to zero)?arrow_forwardA damped driven harmonic oscillator has the following equation: a(t) + 4v(t) + 16x(t) = 7cos(3t). To find the steady-state solution, which of the equations could I use as a possible test solution?A) x(t) = Acos(3t)B) x(t) = Acos(3t - δ)C) x(t) = Acos(sqrt(12)t)D) x(t) = Acos(sqrt(12)t - δ)E) x(t) = Acos(4t)F) x(t) = Acos(4t - δ)G) No option available. Why?arrow_forward
- For the circuit below with the switch closed and then opening at t=0, and R1= 3Ω, R2= 7Ω, C = 0.2H, ig = 8A, vs = 2v, calculate the initial condition. Develop the differential equation for the solution for t > 0. Calculate the current ia(t) for all times.arrow_forwardThe switch in fig shown below has been in position a for a long time. At t=0 it moves to position b. Find the capacitor voltage Ve(t) and the current i(t) in the 2002 resister for all time.arrow_forwardConsider the circuit on the left. DC voltage u1(t ≥ 0) = U is applied at time t = 0. Both meshes must include the input voltage. At time t = 0, the capacitors are free of energy. The following applies: τ = R*C. Derive the 2nd order differential equation for the capacitor voltage u2(t).arrow_forward
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Capacitors Explained - The basics how capacitors work working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=X4EUwTwZ110;License: Standard YouTube License, CC-BY