Concept explainers
(a)
Find the instantaneous voltage of
(a)
Answer to Problem 30E
The instantaneous voltage of
Explanation of Solution
Given data:
Formula used:
Consider the Euler’s identity,
Consider the general expression for voltage response.
The complex form of voltage response is,
Calculation:
Consider the general expression for frequency in terms of
Substitute
The cosine function of phasor expression
Substitute
Simplify the equation as follows.
Substitute
Simplify the equation as follows.
Conclusion:
Thus, the instantaneous voltage of
(b)
Find the instantaneous voltage of
(b)
Answer to Problem 30E
The instantaneous voltage of
Explanation of Solution
Given data:
Calculation:
Simplify equation (2) in single complex form.
The cosine function of phasor expression
Substitute
Simplify the equation as follows.
Substitute
Simplify the equation as follows.
Conclusion:
Thus, the instantaneous voltage of
(c)
Find the instantaneous voltage of
(c)
Answer to Problem 30E
The instantaneous voltage of
Explanation of Solution
Given data:
Calculation:
Simplify equation (5) in single complex form.
The cosine function of phasor expression
Substitute
Simplify the equation as follows.
Substitute
Simplify the equation as follows.
Conclusion:
Thus, the instantaneous voltage of
Want to see more full solutions like this?
Chapter 10 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
- A 70-Vac source has the following waveform.Determine:a. the instantaneous voltage when t = 120 msb. the angle (1st occurrence) after t = 0 when the voltage is +80 Vc. the time (2nd occurrence) after t = 0 when the voltage is –10 Varrow_forwardA 70-Vac source has the following waveform. Determine:a. equation of the waveform (in time domain)b. the instantaneous voltage when t = 120 msc. the angle (1st occurrence) after t = 0 when the voltage is +80 Vd. the time (2nd occurrence) after t = 0 when the voltage is –10 Varrow_forwardA 60 Hz source having and effective voltage of 120 V delivers an effective current of 15 A to a circuit. The current leads the voltage by 20o. Find the instantaneous voltage, e and current, i expressions as function of time, t and values of e and i at t = 10 ms. Show equations and calculation details with proper engineering units.(Note) (1) Use sine expression for e and i(2) Show results with both 'radian (rad) and 'degree (o)' in e and i expression and calculation.arrow_forward
- If a Marx generator is required to perform a 170 kV lightning impulse test, and you have capacitors rated at 60 kVdc available: (a) If the voltage efficiency is 90%, how many stages, n, should the Marx generator have, and what should the dc charging voltage, Vo, be? Using the output parameters to calculate the erected capacitance first, what should be the capacitance per stage if the minimum required stored energy for the test is 900 J? (b)arrow_forward1. A 70-Vac source has the following waveform. Determine: 50 ms- 180 V h) equation of the waveform (in time domain) i) the instantaneous voltage when t = 120 ms j) the angle (1st occurrence) after t = 0 when the voltage is +80 V k) the time (2nd occurrence) after t = 0 when the voltage is –10 Varrow_forwardThe current waveform depicted in the given figure is characterized by a period of 4 s. i(i)(A) 4 hala... 3 4 5 6 3 2 1 7 8 t(s) What is the average value of the current over a single period? (You must provide an answer before moving to the next part.. The average value of the current over a single period is A.arrow_forward
- a) Briefly explain the terms below and state their unit. i. Period ii. Frequency b) Given that v(t) = 25 sin (T x 10t) mv, find: i. The angular velocity ii. The frequency, and period. iii. The current Ip and Ims iv. The instantaneous current at t = 70 µs andt = 120 us %3D v. Sketch v(t) versus tarrow_forwardQ6: An AC source operating at 60 Hz with a maximum voltage of 170 V is fed to a series combination of1.2kΩ resistor and 2.5μF capacitor connected in a timer circuit. How can you evaluate the maximumcurrent in the circuit? Can you estimate the rms value potential difference across each circuit element?Compare the power factor of this timer circuit with a circuit contain only ohmic resistance. Justify youranswer?arrow_forwardDigital multimeters in an AC mode measure average values of voltage and current. Select one: True Falsearrow_forward
- The rms value of the voltage for a voltage function v = 10 + 5 cos (628t + 30°) volts through a circuit is (a) 5 V (b) 10 V (c) 10.6 V (d) 15 Varrow_forwarda) Write down the expression of instantaneous voltage for an AC voltage having a Peak value of 220 Volts and a frequency of 50 Hz provided at time t=0, the instantaneous voltage is 220 Volts. What is the instantaneous voltage of the source at time “t = 5 seconds” What is its RMS voltage? b) Two 200Ω resistances are connected in series with one 0.5 H Inductance and two 100μF Capacitance with the power supply of part (a). (i)Draw the circuit diagram of the above network (ii)What is the total impedance of the circuit (iii)What is the max current that flows through the Inductance? (iv)What is the max current that flows through each of the Capacitance? (v)What is the power dissipated in the circuit (vi)What is the power factor of the circuit (vii)What is the resonance frequency of the circuit? (viii) What is the maximum power dissipated by the circuit when it is in resonancearrow_forward29. Assuming an operating frequency of 50 Hz, compute the instantaneous voltage at t = 10 ms and t= 25 ms for each of the quantities represented in Exercise 26.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,