Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Chapter 29, Problem 57P
To determine
To Find:
The capacitance.
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Problem 4: An AC power supply is connected to a capacitor of capacitance 1.5 μF. At time
0 the power supply is switched
on and starts providing a time-dependent voltage v(t)-Vo cos(a)) across the capacitor, where V0-41 V and ω-382 rad/s. The
capacitor is initially uncharged
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A Part (a) Find the current, in milliamperes with its sign, through the capacitor at time t
S.
Part (b) Calculate the voltage across the capacitor, in volts with its sign, at time t-
5.5 s.
Δ Part (c) What is the magnitude of the maximum current through the capacitor, in
milliamperes?
An ac series circuit consists of a voltage source of frequency 60 Hz and voltage amplitude V, a 276- resistor, and a capacitor of capacitance 8.1 μF. What must be the source voltage amplitude V for the average electrical power
consumed in the resistor to be 797 W? There is no inductance in the circuit.
Express your answer using two significant figures.
V=
IV—| ΑΣΦ
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you have a series RLC cir cuit made witha Resistor R=43-0 r, indactor
L=27:0 MH, and capacibor C= 16-0nF. The Circuit is ariven by an
AC source with Vems = 15.0V at Frequency f=7-90 KHZ-
what is the RMS Voltage Ni across the inductor ?
what is the RMS voltage AVC across the capacitor?
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Chapter 29 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10P
Ch. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51PCh. 29 - Prob. 52PCh. 29 - Prob. 54PCh. 29 - Prob. 55PCh. 29 - Prob. 56PCh. 29 - Prob. 57PCh. 29 - Prob. 58PCh. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - Prob. 61PCh. 29 - Prob. 62PCh. 29 - Prob. 63PCh. 29 - Prob. 64PCh. 29 - Prob. 65PCh. 29 - Prob. 66PCh. 29 - Prob. 67PCh. 29 - Prob. 68PCh. 29 - Prob. 69PCh. 29 - Prob. 70PCh. 29 - Prob. 72PCh. 29 - Prob. 73PCh. 29 - Prob. 74PCh. 29 - Prob. 75PCh. 29 - Prob. 76PCh. 29 - Prob. 77PCh. 29 - Prob. 78PCh. 29 - Prob. 79PCh. 29 - Prob. 80PCh. 29 - Prob. 81PCh. 29 - Prob. 82PCh. 29 - Prob. 83PCh. 29 - Prob. 84PCh. 29 - Prob. 85PCh. 29 - Prob. 86PCh. 29 - Prob. 87PCh. 29 - Prob. 88PCh. 29 - Prob. 89P
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- Calculate the reactance of a 5.0F capacitor at (a) 60 Hz, (b) 600 Hz, and (c) 6000 Hz.arrow_forwardA 20-mH inductor is connected across an AC source with a variable frequency and a constant-voltage amplitude of 9.0 V. (a) Determine the reactance of the circuit and the maximum current through the inductor when the frequency Is set at 20 kHz. (b) Do the same calculations for a frequency of 60 Hz.arrow_forwardFor an RLC series circuit, the voltage amplitude and frequency of the source are 100 V and 500 Hz, respectively; R=500 ; and L = 0.20H . Find the average power dissipated in the resistor for the following values for the capacitance: (a) C=2.0F and (b) C=2.0F .arrow_forward
- In an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a charge of 8.0 C and the current is zero. Calculate the charge on the capacitor (a) five cycles later and (b) 50 cycles later.arrow_forwardThe emf of an ac source is given by v(t)=v0sint. where V0=100V and at =200rad/s . Calculate the average power output of the source if it is connected across (a) a 20F capacitor, (b) a 20-mH inductor, and (c) a 50 resistor.arrow_forwardWhat is the impedance of a series combination of a 50resistor, a 5.0F capacitor, and a 10F capacitor at a frequency of 2.0 kHz?arrow_forward
- In the AC circuit shown in Figure P32.3, R = 70.0 and the output voltage of the AC source is Vmax sin t. (a) If VR = 0.250 Vmax for the first time at t = 0.0100 s, what is the angular frequency of the source? (b) What is the next value of t for which VR = 0.250 Vmax? Figure P32.6 Problem 3 and 5.arrow_forwardAt 1000 Hz, the reactance of a 5.0-mH inductor is equal to the reactance of a particular capacitor. What is the capacitance of the capacitor?arrow_forwardAn ac source of voltage amplitude 10 V delivers electric energy at a rate of 0.80 W when its current output is 2.5 A. What is the phase angle between the emf and the current?arrow_forward
- In a series RLC circuit with a maximum current of 0.250 A, an AC source with Vmax= 115 V operating at 60.0 Hz is connected to a 325-mH inductor, a 7.50-F capacitor, and a resistor with unknown resistance R. Draw a phasor diagram for this circuit, including the current, the potential difference across each of the circuit elements, and the source emf. Draw your diagram with the current phasor pointing upward along the vertical axis.arrow_forwardA 40-mH inductor is connected to a 60-Hz AC source whose voltage amplitude is 50 V. If an AC voltmeter is placed across the inductor, what does it read?arrow_forwardThe RC high-pass filter shown in Figure P33.53 has a resistance R = 0.500 and a capacitance C = 613 F. What is the ratio of the amplitude of the output voltage to that of the input voltage for this filter for a source frequency of 600 Hz?arrow_forward
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