2. The initial current through the inductor at t = 0 in the circuit shown in following Figure is 2mA. Current Is is applied at t = 0, /5 = 5 u(t) mA.a. Find current i(t), t≥ 0, through the inductor and plot i(t).b. Find voltage v(t), t≥ 0, across the inductor and plot v(t).R₂R₁wwww2 ΚΩ5 ΚΩ5 mA (1R₁10 ΚΩwwR₂10 knHiilo-2 mAi(t)L10mHv(t)

The initial current through the inductor,The circuit diagram,

2. The initial current through the inductor at t = 0 in the circuit shown in following Figure is 2 mA. Current I, is applied at t = 0, /s = 5 u(t) mA. a. Find current i(t), t≥ 0, through the inductor and plot i(t). b. Find voltage v(t), t≥ 0, across the inductor and plot v(t). R₂ R₁ ww 5 ΚΩ ww 2 ΚΩ 5 mA R₁ 10 ΚΩ ww R₂ 10 ΚΩ Hi lo-2 mA i(t) L 10mH v(t)

2. The initial current through the inductor at t = 0 in the circuit shown in following Figure is 2 mA. Current I, is applied at t = 0, /s = 5 u(t) mA. a. Find current i(t), t≥ 0, through the inductor and plot i(t). b. Find voltage v(t), t≥ 0, across the inductor and plot v(t). R₂ R₁ ww 5 ΚΩ ww 2 ΚΩ 5 mA R₁ 10 ΚΩ ww R₂ 10 ΚΩ Hi lo-2 mA i(t) L 10mH v(t)

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter18: Resistive-inductive Parallel Circuits

Section: Chapter Questions

Problem 2PP: Assume that the current flow through the resistor, IR, is 15 A; the current flow through the...

See similar textbooks

Similar questions

Consider the circuit below with V = 20 V, R1 = 100 ohms, R2 = 60 ohms, and L1 = 900 mH. Assume the initial energy stored in the inductor is zero. a. Find the differential equation for the current through the inductor for t greater than zero. (Hint: Find the Thevenin equivalent with respect to the inductor.) b. Find the current through the inductor i(t) based on the solution to the differential equation. c. Find the voltage across the inductor v(t) using the current you found in b. d. Using Laplace transforms, find the voltage across the inductor.
The circuit elements in the circuit L=50 mH, and C=0.2 μF. The initial inductor current is−45 mA and the initial capacitor voltage is 15 V. The resistance is increased to250 Ω. Find the expression for v(t) for t≥0.
The circuit shown is at steady state before the switch closes. The inductor currents are both zero before the switch closes (i1(0) = i2(0) = 0). The voltage across the 2H-inductor is 4e-5t V for t > 0, otherwise 0V for t < 0. (a) Determine the inductor currents i1(t) and i2(t) for t ≥ 0. (b) Determine the energy stored by each inductor 200ms after the switch closes. (c) In the equivalent inductor (for the parallel inductors) determine the (i) current and the (ii) energy stored for 200 ms after the switch closes. Answer: 0.4(1 − e−5t) A, 0.1(1 − e−5t) A, 16.0mJ, 63.9mJ, 316mA, 79.9mJ
The triangular voltage pulse shown below is applied to a 200 mF capacitor. a) Write the expressions thatdescribe vc(t) in the five time intervals t < 0, 0 ≤ t ≤ 2 , 2 ≤ t ≤ 6, 6 ≤ t ≤ 8, and t > 8. b) Derive theexpressions for the capacitor current, power, and energy for the time intervals in part (a).
For the sequential circuit shown in Figure, the current flowing through the inductor is zero. At t = 0, the switch moved from position a to b, where it remained for 1 s. After the 1 s delay, the switch moved from position b to position c, where it remained indefinitely. Sketch (plot) the current flowing through the inductor versus time.
An RC circuit with a capacitance of 1E-1 farad, and a resistance of 2Ω, has an EMF of E(t)=4cos(t) volts applied to it. a. Find the charge on the capacitor, q(t), with q(0)=6/13, and the subsequenct current, I(t). Solve the problem mathamatically (DE) and try to restrain yourself from solving it using your physics knowledge.
The current in and the voltage across a 5 H inductor are known to be zero for t≤0. The voltage across the inductor is given by the graph shown for t≥0. 1. Derive the expression for the current as a function of time in the intervals 0≤t≤1 s, 1 s≤t≤3 s, 3 s≤t≤5 s, 5 s≤t≤6 s, and 6 s≤t<∞. 2. For t>0, what is the current in the inductor when the voltage is zero? 3. Sketch i versus t for 0≤t<∞.
Now suppose the switch in the circuit in has been inposition b for a long time. At t=0, the switch moves instantaneouslyto position a and stays there. Find the initial and final values of thecapacitor voltage, the time constant for t≥0, and the expression forthe capacitor voltage for t≥0
For the sequential circuit shown in Figure, the current flowing through the inductor is zero. At t = 0, the switch moved from position a to b, where it remained for 1 s. After the 1 s delay, the switch moved from position b to position c, where it remained indefinitely. Sketch (plot) the graph of the current flowing through the inductor versus time. (write all steps and formulas)
Consider the circuit below with V = 40 V, R1 = 12 ohms, R2 = 18 ohms, R3 = 30 ohms, and C1 = 60 mF. The switch in the circuit has been closed for a long time before it is opened at t = 0. 1:Find the initial voltage across the capacitor. 2:For the natural response of the circuit after t > 0, find the time constant for the circuit. 3:Find the expression for the magnitude of the voltage across the capacitor. 4:Find the expression for the magnitude of the current through R3.
1) 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)?
The current at the terminals of the two capacitors shown is 240e −10tμA for t≥0. The initial values of v1 and v2 are −10 V and −5 V, respectively. Calculate the total energy trapped in the capacitors as t→∞. (Hint: Don’t combine the capacitors in series—find the energy trapped in each, and then add.)