Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 32, Problem 32.3OQ
To determine
The change in current.
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Students have asked these similar questions
A solenoidal inductor for a printed circuit board is being redesigned. To save weight, the number of turns is reduced by one-ninth, with the geometric dimensions kept the same. By how much must the current change if the energy stored in the inductor is to remain the same?
It must be eighty-one times larger.
It must be nine times larger.
It should be left the same.
It should be one-ninth as large.
No change in the current can compensate for the reduction in the number of turns.
A 24-V battery is connected in series with a resistor and an inductor, with R = 5.8 N and L = 4.4 H, respectively.
(a) Find the energy stored in the inductor when the current reaches its maximum value.
(b) Find the energy stored in the inductor one time constant after the switch is closed.
To ignite a mixture of gasoline and air inside an internal combustion engine--like in your
car--a spark is generated by a high voltage across the spark plug, usually in the 10's of
thousands of volts, but the battery is only 12 V. This massive increase in voltage is
achieved through a transformer called the 'ignition coil'. A typical ignition coil has a primary
with 300 turns wrapped around a radius of 2 cm over a linear distance of 15 cm. The
secondary has 60,000 turns of wire over the same cylinder. The spark is generated when
the current is suddenly shut off to the coil. Assuming that the magnetic field is uniform
inside the primary and secondary coils, and that all of the magnetic field lines that go
through the primary go through the secondary, what voltage is generated in the secondary
coil if the current in the primary coil drops from 10 A to 0 A at a steady rate over the
course of 50 mirco-seconds? Give your answer to 2 significant digits.
Hint: Remember the definition of flux…
Chapter 32 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 32 - A coil with zero resistance has its ends labeled a...Ch. 32 - Prob. 32.2QQCh. 32 - Prob. 32.3QQCh. 32 - Prob. 32.4QQCh. 32 - (i) At an instant of time during the oscillations...Ch. 32 - Prob. 32.1OQCh. 32 - Prob. 32.2OQCh. 32 - Prob. 32.3OQCh. 32 - In Figure OQ32.4, the switch is left in position a...Ch. 32 - Prob. 32.5OQ
Ch. 32 - Prob. 32.6OQCh. 32 - Prob. 32.7OQCh. 32 - Prob. 32.1CQCh. 32 - Prob. 32.2CQCh. 32 - A switch controls the current in a circuit that...Ch. 32 - Prob. 32.4CQCh. 32 - Prob. 32.5CQCh. 32 - Prob. 32.6CQCh. 32 - The open switch in Figure CQ32.7 is thrown closed...Ch. 32 - After the switch is dosed in the LC circuit shown...Ch. 32 - Prob. 32.9CQCh. 32 - Discuss the similarities between the energy stored...Ch. 32 - Prob. 32.1PCh. 32 - Prob. 32.2PCh. 32 - Prob. 32.3PCh. 32 - Prob. 32.4PCh. 32 - An emf of 24.0 mV Ls induced in a 500-turn coil...Ch. 32 - Prob. 32.6PCh. 32 - Prob. 32.7PCh. 32 - Prob. 32.8PCh. 32 - Prob. 32.9PCh. 32 - Prob. 32.10PCh. 32 - Prob. 32.11PCh. 32 - A toroid has a major radius R and a minor radius r...Ch. 32 - Prob. 32.13PCh. 32 - Prob. 32.14PCh. 32 - Prob. 32.15PCh. 32 - Prob. 32.16PCh. 32 - Prob. 32.17PCh. 32 - Prob. 32.18PCh. 32 - Prob. 32.19PCh. 32 - When the switch in Figure P32.18 is closed, the...Ch. 32 - Prob. 32.21PCh. 32 - Show that i = Iiet/ is a solution of the...Ch. 32 - Prob. 32.23PCh. 32 - Consider the circuit in Figure P32.18, taking =...Ch. 32 - Prob. 32.25PCh. 32 - The switch in Figure P31.15 is open for t 0 and...Ch. 32 - Prob. 32.27PCh. 32 - Prob. 32.28PCh. 32 - Prob. 32.29PCh. 32 - Two ideal inductors, L1 and L2, have zero internal...Ch. 32 - Prob. 32.31PCh. 32 - Prob. 32.32PCh. 32 - Prob. 32.33PCh. 32 - Prob. 32.34PCh. 32 - Prob. 32.35PCh. 32 - Complete the calculation in Example 31.3 by...Ch. 32 - Prob. 32.37PCh. 32 - A flat coil of wire has an inductance of 40.0 mH...Ch. 32 - Prob. 32.39PCh. 32 - Prob. 32.40PCh. 32 - Prob. 32.41PCh. 32 - Prob. 32.42PCh. 32 - Prob. 32.43PCh. 32 - Prob. 32.44PCh. 32 - Prob. 32.45PCh. 32 - Prob. 32.46PCh. 32 - In the circuit of Figure P31.29, the battery emf...Ch. 32 - A 1.05-H inductor is connected in series with a...Ch. 32 - A 1.00-F capacitor is charged by a 40.0-V power...Ch. 32 - Calculate the inductance of an LC circuit that...Ch. 32 - An LC circuit consists of a 20.0-mH inductor and a...Ch. 32 - Prob. 32.52PCh. 32 - Prob. 32.53PCh. 32 - Prob. 32.54PCh. 32 - An LC circuit like the one in Figure CQ32.8...Ch. 32 - Show that Equation 32.28 in the text Ls Kirchhoffs...Ch. 32 - In Figure 31.15, let R = 7.60 , L = 2.20 mH, and C...Ch. 32 - Consider an LC circuit in which L = 500 mH and C=...Ch. 32 - Electrical oscillations are initiated in a series...Ch. 32 - Review. Consider a capacitor with vacuum between...Ch. 32 - Prob. 32.61APCh. 32 - An inductor having inductance I. and a capacitor...Ch. 32 - A capacitor in a series LC circuit has an initial...Ch. 32 - Prob. 32.64APCh. 32 - When the current in the portion of the circuit...Ch. 32 - At the moment t = 0, a 24.0-V battery is connected...Ch. 32 - Prob. 32.67APCh. 32 - Prob. 32.68APCh. 32 - Prob. 32.69APCh. 32 - At t = 0, the open switch in Figure P31.46 is...Ch. 32 - Prob. 32.71APCh. 32 - Prob. 32.72APCh. 32 - Review. A novel method of storing energy has been...Ch. 32 - Prob. 32.74APCh. 32 - Review. The use of superconductors has been...Ch. 32 - Review. A fundamental property of a type 1...Ch. 32 - Prob. 32.77APCh. 32 - In earlier times when many households received...Ch. 32 - Assume the magnitude of the magnetic field outside...Ch. 32 - Prob. 32.80CPCh. 32 - To prevent damage from arcing in an electric...Ch. 32 - One application of an RL circuit is the generation...Ch. 32 - Prob. 32.83CP
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- Suppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility is x. Using Equation 14.9, show that the self-inductance of the solenoid is given by L=(l+x)+0n2Al where l is its length, A its cross-sectional area and N its total number of turns. Nm=Uarrow_forwardShow that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forwardIn Figure 14.12, =12V , L = 20 mH, and R=5.0. Determine (a) the time constant of the circuit, (b) the initial current through the resistor, (C) the final current through the resistor, (d) the current through the resistor when t=2L , and (e) the voltages across the inductor and the resistor when t=2L .arrow_forward
- Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the current flowing through a rectangular toroid when the energy in its magnetic field is 2.0 × 10-6 J?arrow_forwardThe current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the inductor is 5.0 . Calculate the voltage across the inductor at t = 2.0 ms, r = 4.0 ms, and t = 8.0 ms.arrow_forwardDesign a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .arrow_forward
- Check Your Understanding How much energy is stored in the inductor of Example 14.2 after the current reaches its maximum value?arrow_forwardTo ignite a mixture of gasoline and air inside an internal combustion engine--like in your car--a spark is generated by a high voltage across the spark plug, usually in the 10's of thousands of volts, but the battery is only 12 V. This massive increase in voltage is achieved through a transformer called the 'ignition coil'. A typical ignition coil has a primary with 300 turns wrapped around a radius of 2 cm over a linear distance of 15 cm . The secondary has 60,000 turns of wire over the same cylinder. The spark is generated when the current is suddenly shut off to the coil. Assuming that the magnetic field is uniform inside the primary and secondary, and that all of the magnetic field lines that go through the primary go through the secondary, what voltage is generated in the secondary coil if the current drops from 10 A to 0 A at a steady rate over the course of 50 mirco-seconds? Give your answer to 2 significant digits.arrow_forwardA 5.0 mH inductor and a 10.0 N resistor are connected in series with a 6.0 V ideal battery and a switch. (a) Immediately after the switch is closed what is the voltage across and current in the resistor? (b) Immediately after the switch is closed what is the voltage across and current in the inductor? (c) How long will it take to reach 75.0% of the maximum current in the inductor? (d) After a long time what is the voltage across and the current in the resistor? (e) After a long time what is the voltage across and the current in the inductor? (f) Include aarrow_forward
- The voltage across an inductor is proportional to the inductor and the derivative of the current that flow through it. Is it True or False?arrow_forwardThe current in a resistanceless inductor is caused to vary with time as shown in the graph of Fig. (a) Sketch the pattern that would be observed on the screen of an oscilloscope connected to the terminals of the inductor. (The oscilloscope spot sweeps horizontally across the screen at a constant speed, and its vertical deflection is proportional to the potential difference between the inductor terminals.) (b) Explain why a circuit with an inductor can be described as a “differentiating circuit.”arrow_forwardInitially, an inductor with no resistance carries a constant current. Then the current is brought to a new constant value twice as large. After this change, when the current is constant at its higher value, what has happened to the emf in the inductor?arrow_forward
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