### Circuit Analysis ProblemConsider the circuit diagram below; assume the switch has been in the initial position for a long time, and it switches position as indicated at t = 0.1. **Find \( i(t) \) through the inductor for all \( t > 0 \).**2. **Sketch \( i(t) \) as current vs. time; annotate critical values on your sketch.**3. **How much energy is stored in the inductor at \( t = \infty \)?**#### Circuit Diagram DescriptionThe circuit consists of the following components:* **Current Source (left):** Provides a constant current of 20 mA.* **Resistor (left):** 20 Ω resistor connected in parallel with the current source.* **Switch:** Initially in an open position, closes at \( t = 0 \).* **Inductor:** 120 mH inductor with current \( i(t) \) running through it.* **Resistor (right):** 30 Ω resistor connected in series with the inductor.* **Current Source (right):** Provides a constant current of 10 mA.``` 20 mA +------( )-------+-------+ | 20 Ω | | | | | +---------(O)----+ | (--) (--) t = 0 120 mH 30 Ω i(t) +-------------------------+---> 10 mA Legend:( ) = Current sourceO = Switch```#### Tasks:**a. Finding \( i(t) \) through the inductor for all \( t > 0 \):**Analyzing the circuit dynamics and the behavior of the current through the inductor for \( t > 0 \).**b. Sketching \( i(t) \) as current vs. time:**Creating a graph for \( i(t) \) over time, indicating and annotating key points and values on the graph.**c. Calculating the energy stored in the inductor at \( t = \infty \):**Using relevant formulas to determine the energy stored when the system reaches steady-state (\( t = \infty \)).### Detailed Analysis and Graph Interpretation**Graph Description:**The graph should illustrate the exponential behavior of the current through the inductor over time, starting from its initial value

For this circuit we have to determinea) i(t) for t>0b) sketch i(t) vs tC) Energy stored in the…

Answered: Consider the circuit diagram below;…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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About the circuit below: a) How long does it take for the current in the inductor to reach 40% of its maximum value? b) After 1 time constant in the closed position, the switch is opened at t = 0. Find the current and voltage in the inductor when t>0. c) Sketch the behavior (waveforms) of voltage and current in the inductor and resistor R2 in the storage and discharge (decay) phase of the inductor. R1 = R5 = 55k Ω R2 = R4 = 20k Ω R3 = R6 = 25k Ω V = 2500 v L1 = 50 mH
A source-free RC contains an initially charged capacitor with voltage Vo. What is the voltage across this capacitor after a time of t = 17 has elapsed where t is the time constant.
PSPICE The current in a 50 µH inductor is known to be MULTISIM iL = 18te-104 A fort > 0. a. Find the voltage across the inductor fort > 0. (Assume the passive sign convention.) b. Find the power (in microwatts) at the terminals of the inductor when t = 200 ms. c. Is the inductor absorbing or delivering power at 200 ms? d. Find the energy (in microjoules) stored in the inductor at 200 ms. e. Find the maximum energy (in microjoules) stored in the inductor and the time (in milliseconds) when it occurs.
The switch in the figure below is open for t < 0 and is then thrown closed at time t = 0. R 2R ww www www (a) Find the current in the inductor. (Use the following as necessary: L, R, t, and for E.) 12- (b) Find the current in the switch as functions of time thereafter. (Use the following as necessary: L, R, t, and & for 8.) switch
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All capacitors were initially discharged.at t = 0, S1 is placed at position 1 and S2 is closed.At t = 15 ms, S1 is placed at position 2 and S2 is kept closed. At t = 25 ms, S1 is kept at position 2 and S2 is opened.after 25 ms, the voltage vT will Question options: increase until it reaches the battery voltage at steady state exponentially decay to zero stay constant be a sine wave
5. An RC (DC) circuit consists of a Resistor with a resistance of 25000 SQ and Capacitor in series with a source potential of 30.0 V. The capacitor is initially uncharged and the circuit is completed at t= 0. a) If it is to take 45.0 seconds for the capacitor to be 88.0% fully charged, what must the be capacitance? b) At what time is the potential difference across the capacitor 17.0 Volts?
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switch In the figure, suppose the switch has been closed for a time interval sufficiently long for the capacitor to become fully charged. Find (a) The steady-state current in each resistor. (b) The charge Q on the capacitor. (c) The switch is now opened at t = 0. Immediately after the switch is opened, what is the current through 1. R = 8.00 N ww +JE = 42.0 V! R = 6.00 R, = 3.00 n C= 4.00 µF each resistor?
8. A 62.5-µf capacitor is connected in series with a 200,000-ohm resistor and to a 250-volt d-c source. (a) Write the expression for the charging current following the closing of the switch. (b) What is the initial charging current? (c) Calculate the time constant and the charging current at t = t. (d) What will be the initial rate of current change?
The switch has been in position 1 for a long time. At t = 0, the switch moves instantaneously to position 2. Find the value of R so that 10% of the initial energy stored in the 10mH inductor is dissipated in R in micro-second.

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