EBK PHYSICS
5th Edition
ISBN: 8220103026918
Author: Walker
Publisher: PEARSON
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Question
Chapter 24, Problem 44PCE
To determine
Whether the generator supply more current at high frequency if the inductor and capacitor are connected in series or in parallel.
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If an inductor and a capacitor are connected in parallel with each other, and then briefly energized by
connection to a DC voltage source, oscillations will develop as energy is exchanged from the capacitor to
inductor and vice versa. These oscillations may be viewed with an oscilloscope connected in parallel with
the inductor/capacitor circuit. Parallel inductor/capacitor circuits are commonly known as tank circuits.
Figure 4 below shows a commonly used tank-circuit.
I
с
Figure 4
A tank circuit's natural frequency, called the resonant frequency, is determined by the size of the inductor
and the size of the capacitor, according to the following equation:
1
2n √LC
where fis the frequency, given in Hertz (Hz). Ideally, the oscillations produced by a tank circuit continue
indefinitely. Realistically, oscillations will decay in amplitude over the course of several cycles due to the
resistive and magnetic losses of the inductor.
fresonant =
DATA & ANALYSIS:
For a tank-circuit similar to…
This problem concerns the electric circuit shown in the figure below.
where C is the capacitance and L is the inductance, so
A charged capacitor connected to an inductor causes a current to flow through the inductor until the capacitor is fully discharged. The current in the inductor, in turn, charges up the capacitor until the
capacitor is fully charged again. If Q(t) is the charge on the capacitor at time t, and I is the current, then
dQ
dt
If the circuit resistance is zero, then the charge Q and the current I in the circuit satisfy the differential equation
dI
'dt +
If L=1 henry, R=1 ohm, and C = 4 farads, find a formula for the charge when
(a) Q (0) = 0 and Q (0) = 5:
Q(t)= 4e^(-1/2)
Capacitor
L
(b) Q(0) = 5 and Q (0) = 0:
Q(t) =
Resistor
mamm
DOUVID
Inductor
L
I=
8²0+0=0
d²Q
dt2
Then, just as as a spring can have a damping force which affects its motion, so can a circuit; this is introduced by the resistor, so that if the resistance of the resistor is R
d²Q dQ
dt
+R
dt²
+9=0.
www…
Camera flashes charge a capacitor to high voltage by switching the current through an inductor on and off rapidly.Randomized Variables
L = 2.6 mHI = 0.29 AE = 505 V
In how many seconds must the 0.29 A current through a 2.6 mH inductor be switched on or off to induce an average 505 V emf?
Chapter 24 Solutions
EBK PHYSICS
Ch. 24.1 - A circuit has a sinusoidally varying current whose...Ch. 24.2 - Circuit 1 has a capacitor with a capacitance C and...Ch. 24.3 - The two circuits shown in Figure 24-14 have...Ch. 24.4 - A circuit consists of an ac generator and an...Ch. 24.5 - Prob. 5EYUCh. 24.6 - An RLC circuit has a resonance frequency of 60 Hz....Ch. 24 - Why is the current in an ac circuit not always in...Ch. 24 - An LC circuit is driven at a frequency higher than...Ch. 24 - An LC circuit is driven at a frequency lower than...Ch. 24 - Prob. 4CQ
Ch. 24 - Prob. 5CQCh. 24 - Two RLC circuits have different values of L and C....Ch. 24 - Can an RLC circuit have the same impedance at two...Ch. 24 - An ac generator produces a peak voltage of 75 V....Ch. 24 - In many European homes the rms voltage available...Ch. 24 - An rms voltage of 120 V produces a maximum current...Ch. 24 - The rms current in an ac circuit with a resistance...Ch. 24 - A 3.33-k resistor is connected to a generator with...Ch. 24 - A 75-watt lightbulb uses an average power of 75 W...Ch. 24 - Inverter Efficiency An array of solar panels...Ch. 24 - Prob. 8PCECh. 24 - The reactance of a capacitor is 65 at a frequency...Ch. 24 - The capacitive reactance of a capacitor at 60 0 Hz...Ch. 24 - A 105-F capacitor is connected to an ac generator...Ch. 24 - The rms voltage across a 0.010-F capacitor is 2.8...Ch. 24 - Predict/Calculate The rms current through a 55.5-F...Ch. 24 - The maximum current in a 22-F capacitor connected...Ch. 24 - PredicCalculate An rms voltage of 20 5 V with a...Ch. 24 - A circuit consists of a 2.00-kHz generator and a...Ch. 24 - A 0.22-F capacitor is connected to an ac generator...Ch. 24 - At what frequency will a generator with an rms...Ch. 24 - PredicCalculate A 22 0-Fcapacitor is connected to...Ch. 24 - Find the impedance of a 60 0-Hz circuit with a...Ch. 24 - An ac generator with a frequency of 125 Hz and an...Ch. 24 - The rms current in an RC circuit is 0.72 A. The...Ch. 24 - When an ac generator with a frequency of 180 Hz...Ch. 24 - A 50 0-Hz generator with an rms voltage of 115 V...Ch. 24 - (a) At what frequency must the circuit in Problem...Ch. 24 - Find the power factor for an RC circuit connected...Ch. 24 - Predict/Calculate (a) Determine the power factor...Ch. 24 - Square-Wave Voltage II The square-wave voltage...Ch. 24 - Prob. 29PCECh. 24 - An inductor has a reactance of 56 5 at 85 0 Hz....Ch. 24 - What is the rms current in a 97 5-mH inductor when...Ch. 24 - What rms voltage is required to produce an rms...Ch. 24 - Loudspeaker Impedance A loudspeakers impedance is...Ch. 24 - Prob. 34PCECh. 24 - A 525- resistor and a 295-mH inductor are...Ch. 24 - The rms current in an RL circuit is 0 26 A when it...Ch. 24 - An ac generator with a frequency of 1 55 kHz and...Ch. 24 - Predict/Calculate An rms voltage of 22 2 V with a...Ch. 24 - A 0.22-H inductor is connected to an ac generator...Ch. 24 - The phase angle in a certain RL circuit is 68 at a...Ch. 24 - (a) Sketch the phasor diagram for an ac circuit...Ch. 24 - A large air conditioner has a resistance of 7 0 ...Ch. 24 - Prob. 43PCECh. 24 - Prob. 44PCECh. 24 - Prob. 45PCECh. 24 - Predict/Explain (a) When the ac generator in...Ch. 24 - Prob. 47PCECh. 24 - Predict/Explain (a) When the ac generator in...Ch. 24 - Find the rms voltage across each element in an RLC...Ch. 24 - What is the impedance of a 1 50-kQ resistor, a...Ch. 24 - Consider the circuit shown in Figure 24-34 The ac...Ch. 24 - What is the phase angle in an RLC circuit with R =...Ch. 24 - An ac voltmeter, which displays the rms voltage...Ch. 24 - Prob. 54PCECh. 24 - (a) Sketch the phasor diagram for an ac circuit...Ch. 24 - A generator connected to an RLC circuit has an rms...Ch. 24 - Prob. 57PCECh. 24 - Predict/Explain In an RLC circuit a second...Ch. 24 - An RLC circuit has a resonance frequency of 1 9...Ch. 24 - The Magnetron A magnetron in a kitchen microwave...Ch. 24 - At resonance, the rms current in an RLC circuit is...Ch. 24 - The resistance in an RLC circuit is doubled (a)...Ch. 24 - Predict/Calculate The capacitive reactance in an...Ch. 24 - Predict/Calculate The capacitive reactance in an...Ch. 24 - A 115- resistor, a 67 6-mH inductor, and a 189-F...Ch. 24 - (a) Find the frequency at which an 18-F capacitor...Ch. 24 - Consider an RLC circuit with R = 105 , L- 518 mH,...Ch. 24 - Predict/Calculate An RLC circuit has a resonance...Ch. 24 - An RLC circuit has a capacitance of 0 29 F. (a)...Ch. 24 - CE BIO Persistence of Vision Although an...Ch. 24 - CE An RLC circuit is driven at its resonance...Ch. 24 - CE Predict/Explain Suppose the circuits shown in...Ch. 24 - Prob. 73GPCh. 24 - Prob. 74GPCh. 24 - A 4 40-F and an 8.80-F capacitor are connected in...Ch. 24 - A 4.40-F and an 8.80-F capacitor are connected in...Ch. 24 - A 12.5-F capacitor and a 47.5-F capacitor are...Ch. 24 - CE A generator drives an RLC circuit with the...Ch. 24 - Trapped on a deserted island, you salvage some...Ch. 24 - Predict/Calculate When a certain resistor is...Ch. 24 - Find the average power consumed by an RC circuit...Ch. 24 - A 1 15-k resistor and a 505-mH inductor are...Ch. 24 - Prob. 83GPCh. 24 - Predict/Calculate Figure 24-39 shows the phasor...Ch. 24 - Prob. 85GPCh. 24 - Predict/Calculate Black-Box Experiment You are...Ch. 24 - An RLC circuit with R = 20.0 , L = 295 mH, and C =...Ch. 24 - A Light-Dimmer Circuit The intensity of a...Ch. 24 - An electric motor with a resistance of 15 arid an...Ch. 24 - Predict/Calculate Tuning a Radio A radio tuning...Ch. 24 - If the maximum voltage in the square wave shown in...Ch. 24 - An ac generator supplies an rms voltage of 5.00 V...Ch. 24 - An RC circuit consists of a resistor R = 32 , a...Ch. 24 - Prob. 94PPCh. 24 - Prob. 95PPCh. 24 - Prob. 96PPCh. 24 - Prob. 97PPCh. 24 - Prob. 98PPCh. 24 - Prob. 99PP
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