Concept explainers
The current through an element is shown in
- (a) t = 1 s
- (b) t = 3 s
- (c) t = 5 s
Figure 1.26
For Prob. 1.9.
Fig. 1.26. Determine the total charge that passed through the element at:
(a)
Find the total charge flows through the element at
Answer to Problem 9P
The total charge flows through the element at
Explanation of Solution
Given data:
Refer to Figure 1.26 in the textbook to solve the required objective.
Formula used:
Write the expression for charge entering to an element from
Here,
Calculation:
The given figure is a waveform of electric current versus time.
As the time
From the given figure, the current for the interval
Substitute 10 A for
Simplify the expression as follows:
Conclusion:
Thus, the total charge flows through the element at
(b)
Find the total charge flows through the element at
Answer to Problem 9P
The total charge flows through the element at
Explanation of Solution
Calculation:
As the time
Substitute 0 s for
Rewrite the expression as follows:
Calculate the expression for current from 1 s to 2 s as follows:
From the given figure, the current is 10 A during 0 to 1 s,
Simplify the expression as follows:
Conclusion:
Thus, the total charge flows through the element at
(c)
Find the total charge flows through the element at
Answer to Problem 9P
The total charge flows through the element at
Explanation of Solution
Calculation:
As the time
Substitute 0 s for
Rewrite the expression as follows:
From Part (b), the current for 1 s to 2 s is
Calculate the expression for current from 4 s to 5 s as follows:
From the given figure, the current is 10 A during 0 to 1 s,
Simplify the expression as follows:
Conclusion:
Thus, the total charge flows through the element at
Want to see more full solutions like this?
Chapter 1 Solutions
EBK FUNDAMENTALS OF ELECTRIC CIRCUITS
- 1- The total charge entering a terminal between t = 1s and t 2s if the current passing the terminal i = (10-10e-24)A is------ and the current at t=0.5s is--.-----. %3D 2- The energy in KJ of electric device in one hour is---------. If the current entering its positive terminal is i= t²-3t A and voltage v=di/dt. 3- By using Kirchhoff's laws find all currents of branches in figure below R1 2A, 100 3A R4 R3 102 100 6A R2 Is 100arrow_forwardThe charge cycle shown in Figure is an exampleof a two-rate charge. The current is held constant at50 mA for 5 h. Then it is switched to 20 mA for thenext 5 h. Find: a. The total charge transferred to the battery.b. The energy transferred to the battery.arrow_forwardA 230-V, 1 000-c/s voltage is applied to a resistor in series with C capacıtance 0 06 µF, the reading is 100 V. Find the current when the voltmeter is disconnected. 86 0 05 µF. When C is shunted by a voltmeter of [0 0527 A.]arrow_forward
- Consider the circuit shown in the figure below where C1=48μF, C2=45μF, and C3=32μF . A voltage of Vab=8V is applied between points a and b while the switch is in the left position to charge C1. Once it is charged, the switch is turned to the right. What is the final charge on C3? Express your answer in units of μC using one decimal place.arrow_forwardterminal is given by: q The total charge = 5tsin(4nt) mC. Calculate the current at t = 0.5s. entering aarrow_forwardDetermine total charge entering the terminal between t-3 s and t-6 s if the current passing the terminal is i(t)=10t A, q(0)= 30 C. Please show all calculation steps. Please upload your solution in image format. REMARK For upload image question-type, you need to capture the image of your solution and upload your answer in Author using phone. The image automatically saved once successfully uploaded. Refer to the image below for a clear guidance. ClHO here to uploed your Type G &OF YOU Can upicad many time of solutionarrow_forward
- The charge entering a certain element is shown in the figure below. Mark all that apply q(t) (mC) 30 024 6 8 The current at t=1.75 ms is 15A The current at t=1.75 ms is 30A The current at t=4 ms is OA The current at t=4 ms is 30A The current at t=9 ms is -7.5A The current at t=9 ms is -7.5mA 10 12 t (ms)arrow_forward1.) The terminal voltage of a voltage source is v = 6 sin 2t V. If the charge leaving the positive terminal is q = -2 cos 2t mC, find the power supplied by the source at any time and the energy supplied by the source between 0 and t seconds.arrow_forwardA current passing through a terminal is (3t^3-2t^2-t). Calculate the total charge entering the terminal between t = 1 sec and between t = 2 secs. solve the problem with gresa format.arrow_forward
- Determine the total charge entering a terminal between t = 1 s and t = 2 s, if the current passing the terminal is (3t² - t) A.arrow_forwarda) Examine the charging and discharging phases of the circuits and then answer the following: What is the time constant () of both circuits in each case? Describe the voltage across and the current through the capacitor combination in both charging and discharging phases.arrow_forwardFor the current shown in the figure below, find the charge waveform and then find the value of charge at t=2 sec and t=10 sec (A) Timemee)arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,