University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 14, Problem 73AP
Show that the self-inductance per unit length of an infinite, straight, thin wire is infinite.
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Chapter 14 Solutions
University Physics Volume 2
Ch. 14 - Check Your Understanding. A current...Ch. 14 - Check Your Understanding. Current flows through...Ch. 14 - Check Your Understanding. A changing current...Ch. 14 - Check Your Understanding (a) Calculate the...Ch. 14 - Check Your Understanding (a) What is the magnetic...Ch. 14 - Check Your Understanding How much energy is stored...Ch. 14 - Check Your Understanding Verify that RC and L/R...Ch. 14 - Check Your Understanding (a) If the current in the...Ch. 14 - Check Your Understanding For the circuit of in...Ch. 14 - Check Your Understanding The angular frequency of...
Ch. 14 - Check Your Understanding In an RLC circuit, L =...Ch. 14 - Show that N m /l and el(dl/dt), which are both...Ch. 14 - A 10-H inductor carries a current of 20 A....Ch. 14 - The ignition circuit of an automobile is powered...Ch. 14 - When the current through a large inductor is...Ch. 14 - Does self-inductance depend on the value of the...Ch. 14 - Would the self-inductance of a 1.0 m long, tightly...Ch. 14 - Discuss how you might determine the-inductance per...Ch. 14 - The self-inductance of a coil is zero if there is...Ch. 14 - How does the self- inductance per unit length near...Ch. 14 - Solve that I I 2 /2 has units of energy.Ch. 14 - Use Lenz’s law to explain why the initial current...Ch. 14 - When the current in the RL circuit of Figure...Ch. 14 - Does the time required for the current in an RL...Ch. 14 - An inductor is connected across the terminals of a...Ch. 14 - At what time is the voltage across the inductor of...Ch. 14 - In the simple RL circuit of Figure 14.12(b), can...Ch. 14 - If emf of the battery of Figure 14.12(b) is...Ch. 14 - A steady current flows through a circuit with a...Ch. 14 - Describe how the currents through R1and R2, shown...Ch. 14 - Discuss possible practical applications of RL...Ch. 14 - Do Kirchhoff’s rules apply to circuits that...Ch. 14 - Can a circuit e1eent have both capacitance and...Ch. 14 - In an LC circuit, what determines the frequency...Ch. 14 - When a wire is connected between the two ends of a...Ch. 14 - Describe what effect the resistance of the...Ch. 14 - Suppose you wanted to design an LC circuit with a...Ch. 14 - A radio receiver uses an RLC circuit to pick out...Ch. 14 - When the current in one coi1 changes at a rate of...Ch. 14 - An emf of 9.7 × 10-3 V is induced in a coil while...Ch. 14 - Two coils close to each other have a mutual...Ch. 14 - A coil of 40 turns is wrapped around a long...Ch. 14 - A 600-turn solenoid is 0.55 m long and 4.2 cm in...Ch. 14 - A toroidal coil has a mean radius of 16 cm and a...Ch. 14 - A solenoid of N1turns has length l1and radius R1,...Ch. 14 - An emf of 0.40 V is induced across a coil when the...Ch. 14 - The current shown in part (a) below is increasing,...Ch. 14 - What is the rate at which the current though a...Ch. 14 - When a camera uses a flash, a fully charged...Ch. 14 - A coil with a self-inductance of 2.0 H carries a...Ch. 14 - A solenoid 50 cm long is wound with 500 turns of...Ch. 14 - A coil with a self-inductance of 3.0 H carries a...Ch. 14 - The current I(t) through a 5.0-mH inductor varies...Ch. 14 - A long, cylindrical solenoid with 100 turns per...Ch. 14 - Suppose that a rectangular toroid has 2000...Ch. 14 - What is the self-inductance per meter of a coaxial...Ch. 14 - At the instant a current of 0.20 A is flowing...Ch. 14 - Suppose that a rectangular toroid has 2000...Ch. 14 - Solenoid A is tightly wound while solenoid B has...Ch. 14 - A 10-H inductor carries a current of 20 A. How...Ch. 14 - A coil with a self-inductance of 3.0 H and a...Ch. 14 - A current of 1.2 A is flowing in a coaxial cable...Ch. 14 - In Figure 14.12, =12V , L = 20 mH, and R=5.0....Ch. 14 - For the circuit shown below, =20V , L = 4.0 mH,...Ch. 14 - The current in the RL circuit shown here increases...Ch. 14 - How long after switch S1 is thrown does it take...Ch. 14 - Examine the circuit shown below in part (a)....Ch. 14 - The current in the RL circuit shown below reaches...Ch. 14 - Consider the circuit shown below. Find l1, l2and...Ch. 14 - For the circuit shown below, =50V , R1= 10 , and...Ch. 14 - For the circuit shown below, find the current...Ch. 14 - Show that for the circuit shown below, the initial...Ch. 14 - A 5000-pF capacitor is charged to 100 V and then...Ch. 14 - The self-inductance and capacitance of an LC...Ch. 14 - What is the self-inductance of an LC circuit that...Ch. 14 - In an oscillating LC circuit the maximum charge on...Ch. 14 - The self-inductance and capacitance of an...Ch. 14 - In an oscillating LC circuit, the maximum charge...Ch. 14 - In the circuit shown below, S1is opened and S2is...Ch. 14 - An LC circuit in an AM tuner (in a car stereo)...Ch. 14 - In an oscillating RLC circuit, R=5.0 ,. L=5.0mH ,...Ch. 14 - In an oscillating RLC circuit with L = 10 mH, C =...Ch. 14 - What resistance R must be connected in series with...Ch. 14 - Show that the self-inductance per unit length of...Ch. 14 - Two long, parallel wires cy equal currents in...Ch. 14 - A small, rectangular single loop of wire with...Ch. 14 - Suppose that a cylindrical solenoid is wrapped...Ch. 14 - A solenoid with 4 x 107turns/m has an iron core...Ch. 14 - A rectangular toroid with inner radius R1= 7.0cm,...Ch. 14 - The switch S of the circuit shown below is closed...Ch. 14 - In an oscillating RLC circuit, R = 7.0 L. = 10...Ch. 14 - A 25.0-H inductor has 100 A of current turned off...Ch. 14 - A coaxial cable has an inner conductor of radius...Ch. 14 - In a damped oscillating circuit the energy is...Ch. 14 - The switch in the circuit shown below is closed at...Ch. 14 - A square loop of side 2 cm is placed 1 cm from a...Ch. 14 - A rectangular copper ring, of mass 100 g and...
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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_forwardWhat is the self-inductance of a coil whose reactance is 10 at 60 Hz?arrow_forwardShow that for the circuit shown below, the initial energy stored in the inductor, LI2(0)/2 , is equal to the total energy eventually dissipated in the resistor 0I2(t)Rdt.arrow_forward
- The self-inductance of a coil is zero if there is no current passing through the windings. True or false?arrow_forwardSuppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the ratio of its outer radius to its inner radius?arrow_forwardWhat resistance R must be connected in series with a 200-mH inductor of the resulting RLC oscillating circuit is to decay to 50% of its initial value of charge in 50 cycles? To 0.10% of its initial value in 50 cycles?arrow_forward
- In a fluorescent lamp choke (a small transformer) 100 V of reversible voltage is produced when choke changes current in from 0.25 A to 0 A in 0.025 ms. The self-inductance of choke (in mH) is estimated to be;arrow_forwardWhy does an inductor act as an open circuit at high frequencies?arrow_forwardWhat resistance R should be connected in series with an inductance L= 220 mH and capacitance C= 12.0 mF for the maximum charge on the capacitor to decay to 99.0% of its initial value in 50.0 cycles?arrow_forward
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