Principles and Applications of Electrical Engineering
6th Edition
ISBN: 9780073529592
Author: Giorgio Rizzoni Professor of Mechanical Engineering, James A. Kearns Dr.
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 4, Problem 4.34HP
Determine the rms (or effective) value of
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Chapter 4 Solutions
Principles and Applications of Electrical Engineering
Ch. 4 - The current through a 0.8-H inductor is given by...Ch. 4 - For each case shown below, derive the expression...Ch. 4 - Derive the expression for the voltage across...Ch. 4 - In the circuit shown in Figure P4.4, assume R=1...Ch. 4 - Prob. 4.5HPCh. 4 - In the circuit shown in Figure P4.4, assume R=2...Ch. 4 - In the circuit shown in Figure P4.7, assume R=2...Ch. 4 - Prob. 4.8HPCh. 4 - Prob. 4.9HPCh. 4 - Prob. 4.10HP
Ch. 4 - The voltage waveform shown in Figure P4.10 is...Ch. 4 - The voltage across a 0.5-mH inductor, Plotted as a...Ch. 4 - Prob. 4.13HPCh. 4 - The current through a 16-H inductor is zero at t=0...Ch. 4 - The voltage across a generic element X has the...Ch. 4 - The plots shown in Figure P4.16 are the voltage...Ch. 4 - The plots shown in Figure P4.17 are the voltage...Ch. 4 - The plots shown in Figure P4.18 are the voltage...Ch. 4 - The plots shown in Figure P4.19 are the voltage...Ch. 4 - The voltage vL(t) across a 10-mH inductor is shown...Ch. 4 - The current through a 2-H inductor is p1otted in...Ch. 4 - Prob. 4.22HPCh. 4 - Prob. 4.23HPCh. 4 - Prob. 4.24HPCh. 4 - The voltage vC(t) across a capacitor is shown in...Ch. 4 - The voltage vL(t) across an inductor is shown in...Ch. 4 - Find the average and rms values of x(t) when:...Ch. 4 - The output voltage waveform of a controlled...Ch. 4 - Refer to Problem 4.28 and find the angle + that...Ch. 4 - Find the ratio between the average and rms value...Ch. 4 - The current through a 1- resistor is shown in...Ch. 4 - Derive the ratio between the average and rms value...Ch. 4 - Find the rms value of the current waveform shown...Ch. 4 - Determine the rms (or effective) value of...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Assume steady-state conditions and find the energy...Ch. 4 - Find the phasor form of the following functions:...Ch. 4 - Convert the following complex numbers to...Ch. 4 - Convert the rectangular factors to polar form and...Ch. 4 - Complete the following exercises in complex...Ch. 4 - Convert the following expressions to rectangular...Ch. 4 - Find v(t)=v1(t)+v2(t) where...Ch. 4 - The current through and the voltage across a...Ch. 4 - Express the sinusoidal waveform shown in Figure...Ch. 4 - Prob. 4.45HPCh. 4 - Convert the following pairs of voltage and current...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - Determine the equivalent impedance seen by the...Ch. 4 - The generalized version of Ohm’s law for impedance...Ch. 4 - Prob. 4.50HPCh. 4 - Determine the voltage v2(t) across R2 in the...Ch. 4 - Determine the frequency so that the current Ii...Ch. 4 - Prob. 4.53HPCh. 4 - Use phasor techniques to solve for the current...Ch. 4 - Use phasor techniques to solve for the voltage...Ch. 4 - Prob. 4.56HPCh. 4 - Solve for VR shown in Figure P4.57. Assume:...Ch. 4 - With reference to Problem 4.55, find the value of ...Ch. 4 - Find the current iR(t) through the resistor shown...Ch. 4 - Find vout(t) shown in Figure P4.60.Ch. 4 - Find the impedance Z shown in Figure...Ch. 4 - Find the sinusoidal steady-state output vout(t)...Ch. 4 - Determine the voltage vL(t) across the inductor...Ch. 4 - Determine the current iR(t) through the resistor...Ch. 4 - Find the frequency that causes the equivalent...Ch. 4 - a. Find the equivalent impedance Zo seen by the...Ch. 4 - A common model for a practical capacitor has...Ch. 4 - Using phasor techniques, solve for vR2 shown in...Ch. 4 - Using phasor techniques to solve for iL in the...Ch. 4 - Determine the Thévenin equivalent network seen by...Ch. 4 - Determine the Norton equivalent network seen by...Ch. 4 - Use phasor techniques to solve for iL(t) in...Ch. 4 - Use mesh analysis to determine the currents i1(t)...Ch. 4 - Prob. 4.74HPCh. 4 - Prob. 4.75HPCh. 4 - Find the Thévenin equivalent network seen by the...Ch. 4 - Prob. 4.77HPCh. 4 - Prob. 4.78HPCh. 4 - Prob. 4.79HPCh. 4 - Prob. 4.80HPCh. 4 - Use mesh analysis to find the phasor mesh current...Ch. 4 - Write the node equations required to solve for all...Ch. 4 - Determine Vo in the circuit of Figure...Ch. 4 - Prob. 4.84HP
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- 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_forwardTwo electric devices A and B are connected in parallel, and the rms current in A is 15 amp. If the current in B lags behind A by pi/3 radians and the line current is 23.4 amp, determine the current in B.arrow_forwardA voltage given by v(t) = 311 cos (311 pi t) V is applied to a 50-ohm resistance. (a.) Sketch v(t) to scale versus time. (b.) Determine the rms value of the voltage and the average power delivered to the resistance. (c.)Determine the power as a function of time and sketch to scale.arrow_forward
- Given the time-varying voltage: v(t)= 60 · sin( 377 · t + 60°) Express the voltage as its (RMS) phasor equivalent V.arrow_forwardFind the following unknowns given the voltage: v(t) = 440 cos (2513t +195°) V. a.Averageb. Rms Valuesarrow_forward44. The equation for 60 cycles current sine wave having RMS value 30 amperes, will be __ A. 42.4 sin120pi t Amp B. 30 sin 120t AmpC. 30 sin60t AmpD. 42.4 sin 60pi t Amparrow_forward
- Determine the rms values of each of the following (a) v(t) = 100 sin(ωt) V Vrms = 70.7V (b) i(t) = 8 sin(377t) A Irms = 5.656V(c) v(t) = 40 sin(ωt + 40o) V Vrms = 28.28V (d) i(t) = 120 cos(ωt) mA Irms = 84.84A Can you check if my answer is correct?arrow_forwardDetermine the rms values of each of the following (a) v(t) = 100 sin(ωt) V Vrms = 70.7V (b) i(t) = 8 sin(377t) A Irms = 5.656V(c) v(t) = 40 sin(ωt + 40o) V Vrms = 28.28V (d) i(t) = 120 cos(ωt) mA Irms = 84.84A Can you double check if my answer is correct?arrow_forwardTwo electric devices A and B are connected in parallel, and the rms current in A is 15 amp. If the current in B lags A by p/3 radians and the line current is 23.3 amp, determine the current in B.arrow_forward
- A resistor whose resistance is 50Ω is traversed by an alternating current that obeys the function I (t) = 8√2 sin (120πt) determinea) the rms value of the current and the rms value of the electrical potential difference.b) a power dissipated by the resistorarrow_forwardDetermine the rms (or effective) value ofv(t) = VDC + vAC = 50 + 70.7 cos(377t) Varrow_forwardAn AC generator causes 50 Hz current in a circuit containing a 290 Ω resistor, 4.89 µF capacitor, 0.362 H inductor, and switch in series. At time t=0, the switch is closed at an instant when the voltage from the generator is 0 V. We measure the rms current as 41.1 mA. a) Write an expression for the instantaneous voltage (aka, the voltage as a function of time). v(t) = ______ b) Does the voltage lead or lag the current? Explain how you know. c) Draw a phasor diagram at an instant when the current is zero. Label the phase angle. d) Draw a phasor diagram at an instant when the current is maximum. Label the phase angle.arrow_forward
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