Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Chapter 14, Problem 11P
The voltage across a 40
a.
b.
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3. The current through a 0.5 µF capacitor is given. What is the sinusoidal expression for
the voltage?
a. 0.20 sin 300t
b. 8 x 10-3 sin 377t
c. 60 x 10-3 cos 754t
d. 0.08 sin(1600t - 80°)
Given V
20 sin(@t + 60°) and V2
= 60 cos(ot- 10°). What is the phase angle
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between the waveforms? All terms to be expressed in cosine terms.
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I) Convert the following phasors to the time domain if the frequency is I KHz.
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Chapter 14 Solutions
Introductory Circuit Analysis (13th Edition)
Ch. 14 - Plot the following waveform versus time showing...Ch. 14 - Repeat Problem 1 for the following sinusoidal...Ch. 14 - What is the derivative of each of the following...Ch. 14 - The voltage across a 20 resistor is as indicated....Ch. 14 - The current through a 6.8 k ) resistor is as...Ch. 14 - Determine the inductive reactance (in ohms) of a 2...Ch. 14 - Determine the closest standard value inductance...Ch. 14 - Determine the frequency at which a 47 mH...Ch. 14 - The current through a 20 inductive reactance is...Ch. 14 - The current through a 0.1 H coil is given. What is...
Ch. 14 - The voltage across a 40 inductive reactance is...Ch. 14 - The voltage across a 0.2 H coil is given. What is...Ch. 14 - Determine the capacitive reactance (in ohms) of a...Ch. 14 - Determine the closest standard value capacitance...Ch. 14 - Determine the frequency at which a 3.9 F capacitor...Ch. 14 - The voltage across a 2.5 capacitive reactance is...Ch. 14 - The voltage across a 1 F capacitor is given. What...Ch. 14 - The current through a 2 k capacitive reactance is...Ch. 14 - The current through a 0.56 F capacitor is given....Ch. 14 - For the following pairs of voltages and currents,...Ch. 14 - Repeat Problem 20 for the following pairs of...Ch. 14 - Plot XL versus frequency for a 3 mH coil using a...Ch. 14 - Plot XC versus frequency for a 1 F capacitor using...Ch. 14 - At what frequency will the reactance of a 1 F...Ch. 14 - The reactance of a coil equals the resistance of a...Ch. 14 - Determine the frequency at which a 1 F capacitor...Ch. 14 - Determine the capacitance required to establish a...Ch. 14 - Find the average power loss and power factor for...Ch. 14 - If the current through and voltage across an...Ch. 14 - A circuit dissipates 100 W (average power) at 150...Ch. 14 - The power factor of a circuit is 0.5 lagging. The...Ch. 14 - In Fig.14.77, e=120sin(260t+20). a. What is the...Ch. 14 - In Fig. 14.78, e=220sin(1000t+60). a. Find the...Ch. 14 - In Fig. 14.79, i=30103sin(2500t20). a. Find the...Ch. 14 - For the network in Fig. 14.80 and the applied...Ch. 14 - For the network in Fig. 14.81 and the applied...Ch. 14 - Convert the following from rectangular to polar...Ch. 14 - Convert the following from rectangular to polar...Ch. 14 - Convert the following from polar to rectangular...Ch. 14 - Convert the following from polar to rectangular...Ch. 14 - Perform the following additions in rectangular...Ch. 14 - Perform the following subtractions in rectangular...Ch. 14 - Perform the following operations with polar...Ch. 14 - Perform the following multiplications in...Ch. 14 - Perform the following multiplications in polar...Ch. 14 - Perform the following divisions in polar form:...Ch. 14 - Perform the following divisions, and leave the...Ch. 14 - Perform the following operations, and express your...Ch. 14 - Prob. 49PCh. 14 - Determine a solution for x and y if...Ch. 14 - Determine a solution for x and y if...Ch. 14 - Express the following in phasor from:...Ch. 14 - Express the following in phasor form:...Ch. 14 - Express the following phasor currents and voltages...Ch. 14 - For the system in Fig. 14.82, find the sinusoidal...Ch. 14 - For the system in Fig. 14.83 find the sinusoidal...Ch. 14 - Find the sinusoidal expression for the voltage Ua...Ch. 14 - Find the sinusoidal expression for the current i1...Ch. 14 - Plot icandUc versus time for the network in Fig....Ch. 14 - Plot the magnitude and phase angle of the current...Ch. 14 - Plot the total impedance of the configuration in...
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- 3. A sinusoidal voltage is zero and increasing at t= -1.2ms. The next zero crossing occursat t= 5.6ms. Calculate the Period T and Frequency f.arrow_forwardAn electrical circuit with a sinusoidal voltage source, a resistor, and a capacitor all connected in series. The voltage across the capacitor: Select one: a. Leads the current in the capacitor by exactly 90o b. Is in phase with the sinusoidal voltage source c. Is in phase with the voltage across the resistor d. Leads the current in the circuit by 90o e. Lags the current in the circuit by 90oarrow_forward(3) Find the phasors V₁ and V₂ for the waveforms below. You can use polar or cartesian notation. 9 s 2 V -2 V v₂ (t) ↑ 2 V v₁ (t) 20 s A t t V₁ V₂arrow_forward
- A 40 kHz sinusoidal voltage has zero phase angle and a maximum amplitude of 25 mV. When this voltage is applied across the terminals of a capacitor, the resulting steady-state current has a maximum amplitude of 628.32 μA. Part A What is the frequency of the current in radians per second? Express your answer in radians per second to three significant figures. Submit Part B 0₁ = VAΣ vec Submit VI What is the phase angle of the current? Express your answer in degrees to three significant figures. Request Answer VAΣ vec Request Answer ? ? rad/sarrow_forwardThe voltage across a 20 2 resistor is as indicated. Find the sinusoidal expression for the current. In addition, sketch the u and i sinusoidal waveforms on the same axis. a. 160 sin 100tarrow_forwardThe phasor of the impedance of an AC circuit has no vertical component. What does this mean? there are no reactive components in the AC circuit the resistance of the circuit is equal to the reactance of the reactive components the inductive reactance and capacitive reactance are equal in magnitude there are no inductors in the circuitarrow_forward
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- Part C What is the capacitive reactance of the capacitor? Express your answer to three significant figures and include the appropriate units. Xc= μÅ Value Submit Request Answer Units ?arrow_forwardQuestion 4 Given the sinusoidal current i(t) = 10 cos (30t + 100)A. What is the value of the voltage in this capacitive circuit if C=1mF? 15.56cos(30t+115) 333.3cos(30t+10) 328.26cos(30t+57.88) Non of the answers A Moving to another question will save this response.arrow_forwardFind the phasor representation of an independent sinusoidal current source given as follows: i(t) = 3cos(300t + 30) + 5sin (100t + 60) A 3230 + 5260 B 3430 + 52 – 30 8430 Cannot be represented as a phasor E None of the abovearrow_forward
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