The voltage \( v(t) \) shown in Fig. P7.85a is given by the graph shown in Fig. P7.85b. If \( i_0(0) = 0 \), choose the correct equation to represent the power absorbed by the inductor at \( t = 3 \, \text{s} \). Given \( L = 2 \, \text{H} \) and \( R = 4 \, \Omega \).### Diagram Overview#### (a) Circuit Diagram:- The circuit consists of a voltage source \( v(t) \), an inductor of inductance \( L \, \text{H} \), and a resistor with resistance \( R \, \Omega \) connected in series.#### (b) Graph: Voltage vs. Time- The graph plots voltage \( v(t) \) (in volts) against time \( t \) (in seconds).- The voltage starts at 10 V at \( t = 0 \).- It steps down to -10 V at \( t = 2 \, \text{s} \) and returns to 0 V at \( t = 5 \, \text{s} \).### Options for Power Absorbed by Inductor:\[ \begin{align*}1. & \quad P_L(t) = v(t)/R \\2. & \quad P_L(t) = v(t) \cdot i_L(t) \\3. & \quad P_L(t) = v(t) \cdot i(t)/R \\4. & \quad P_L(t) = v(t) \cdot i(t) \\\end{align*}\]

For the given circuit the expression for the power across the inductor needs to be calculated.

Answered: The voltage v(t) shown in Fig. P7.85a…

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...

See similar textbooks

Similar questions

Figure P7.3 30 Ω w a t=0 + 60 V + 702V2 - 90 Ω w 0.32 HV1
Consider the circuit in Fig. Under dc conditions, find: the energy stored in the inductor. 22 ww 52 12 v (+ 3 H + 2F A. EL = 7J B. EL = 8J C. EL = 9J D. EL = 6J %3D ww
I need the answer as soon as possible
If the inductor with 1600 turns has a current of 2 A flowing through it stores the energy of 15 Joules. Find, (a) Inductance of the coil. (b) Average e.m.f. induced, if the current falls to zero in 100 msec.
C C a R The switch is placed at position a. The capacitor is being charged. The switch is placed at position b. The capacitor is being discharged. (1) Charging the capacitor: What is the equation for the charge q (t) of the capacitor as it is being charged in the RC circuit? Give your answer in terms of R, C, ɛ, and t? What is the equation for the current I (t) as a function of time when the capacitor being charged? Give your answer in terms of R, C, ɛ, and t? (2) Discharging the capacitor: What is the equation for the charge q (t) of the capacitor as it is being discharged in RC circuit? Give your answer in terms of R, C, ɛ, and t? What is the equation for the current I (t) as a function of time when the capacitor being discharged? Give your answer in terms of R, C, ɛ, and t? (3) What is the equation for the time constant for charging and discharging the capacitor?
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?
7.70 Find Z in the circuit of Fig. P7.70, given that Vs and V₁ = 17.22e-j132.2⁰ V. Va √s + j4 Q2 m Z 3Ω ww -j5 Q Figure P7.70: Circuit for Problem 7.70. + = 40 V V a
i need solution very very quickly please #circuit analysis#
I need the answer as soon as possible
In the figure below, after sitting for a long time in position a, the switch in the circuit was moved to position b att= 0. A student measured and plotted the current (i) flowing through the inductor (graph below) after the switch was moved. The data point on the graph is equal to 8.05A, which occurs at 5 milliseconds. What is the value for X, in milliseconds (the time at which the current is equal to 8.05A) ? a) What is the value of the current source Ix, in Amps? Enter only the numerical value. b) What is the value of the current source Iy, in Amps? Enter only the numerical value. c) What is the time constant, in milliseconds? Enter only the numerical value. d) What is the value of Ra, in Ohms? b Ra t = 0 500mH 10 7 6. 1 X time (ms) Inductor Current (A)
7:41 ull 4G A moodle1.du.edu.om A single loop RLC electrical circuit can be modelled as a second order system in terms of current. ÿ+3ÿ+9y=U(t) The natural frequency of the system in (rad/s) is The natural frequency of the system in (rad/s) is Choose... + the damping ratio of the system Choose... + the settling time of the system is second Choose... + is The percentage of Choose... + over shoot is The pic time is second is Choose... + Next page
A capacitor of 2 mF has a voltage of 525cos(201). The energy stored in it at t = 850 ms is: a. 36.22 J b. 20.86 J c. 28.68 J d. 65.11 J e. None of these,answers is correct

Recommended textbooks for you

Introductory Circuit Analysis (13th Edition)

Electrical Engineering

ISBN:

9780133923605

Author:

Robert L. Boylestad

Publisher:

PEARSON

Delmar's Standard Textbook Of Electricity

Electrical Engineering

ISBN:

9781337900348

Author:

Stephen L. Herman

Publisher:

Cengage Learning

Programmable Logic Controllers

Electrical Engineering

ISBN:

9780073373843

Author:

Frank D. Petruzella

Publisher:

McGraw-Hill Education

Introductory Circuit Analysis (13th Edition)

Electrical Engineering

ISBN:

9780133923605

Author:

Robert L. Boylestad

Publisher:

PEARSON

Delmar's Standard Textbook Of Electricity

Electrical Engineering

ISBN:

9781337900348

Author:

Stephen L. Herman

Publisher:

Cengage Learning

Programmable Logic Controllers

Electrical Engineering

ISBN:

9780073373843

Author:

Frank D. Petruzella

Publisher:

McGraw-Hill Education

Fundamentals of Electric Circuits

Electrical Engineering

ISBN:

9780078028229

Author:

Charles K Alexander, Matthew Sadiku

Publisher:

McGraw-Hill Education

Electric Circuits. (11th Edition)

Electrical Engineering

ISBN:

9780134746968

Author:

James W. Nilsson, Susan Riedel

Publisher:

PEARSON

Engineering Electromagnetics

Electrical Engineering

ISBN:

9780078028151

Author:

Hayt, William H. (william Hart), Jr, BUCK, John A.

Publisher:

Mcgraw-hill Education,

SEE MORE TEXTBOOKS

The voltage v(t) shown in Fig. P7.85a is given by the graph shown in Fig. P7.85b. If io(0) = 0, choose the correct equation to represent the power absorbed by the inductor at t = 3 s. Given L = 2 H and R = 40.