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University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 30, Problem 30.4DQ
To determine
The features of the toroidal solenoid, give it the simplicity to calculate the self-inductance.
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How can we calculate the self inductance of a solenoid?
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A long, straight solenoidhas N turns, uniform cross-sectional area A, and length l. Show thatthe inductance of this solenoid is given by the equation L = m0 AN2/l.Assume that the magnetic field is uniform inside the solenoid and zerooutside.
Chapter 30 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 30.1 - Consider the Tesla coil described in Example 30.1....Ch. 30.2 - Prob. 30.2TYUCh. 30.3 - Prob. 30.3TYUCh. 30.4 - Prob. 30.4TYUCh. 30.5 - Prob. 30.5TYUCh. 30.6 - An L-R-C series circuit includes a 2.0- resistor....Ch. 30 - In an electric trolley or bus system, the vehicles...Ch. 30 - From Eq. (30.5) 1 H = 1 Wb/A. and from Eqs. (30.4)...Ch. 30 - Prob. 30.3DQCh. 30 - Prob. 30.4DQ
Ch. 30 - Prob. 30.5DQCh. 30 - Two closely wound circular coils have the same...Ch. 30 - Prob. 30.7DQCh. 30 - For the same magnetic field strength B, is the...Ch. 30 - Prob. 30.9DQCh. 30 - A Differentiating Circuit. The current in a...Ch. 30 - In Section 30.5 Kirchhoffs loop rule is applied to...Ch. 30 - Prob. 30.12DQCh. 30 - Prob. 30.13DQCh. 30 - In the R-L circuit shown in Fig. 30.11, is the...Ch. 30 - Prob. 30.15DQCh. 30 - In an L-R-C series circuit, what criteria could be...Ch. 30 - Prob. 30.1ECh. 30 - Prob. 30.2ECh. 30 - Prob. 30.3ECh. 30 - Prob. 30.4ECh. 30 - Prob. 30.5ECh. 30 - Prob. 30.6ECh. 30 - A 2.50-mH toroidal solenoid has an average radius...Ch. 30 - Prob. 30.8ECh. 30 - Prob. 30.9ECh. 30 - Prob. 30.10ECh. 30 - Prob. 30.11ECh. 30 - Prob. 30.12ECh. 30 - Prob. 30.13ECh. 30 - A long, straight solenoid has 800 turns. When the...Ch. 30 - Prob. 30.15ECh. 30 - Prob. 30.16ECh. 30 - Prob. 30.17ECh. 30 - Prob. 30.18ECh. 30 - Prob. 30.19ECh. 30 - Prob. 30.20ECh. 30 - In a proton accelerator used in elementary...Ch. 30 - It is proposed to store l.00 kWh = 3.60 106J of...Ch. 30 - Prob. 30.23ECh. 30 - Prob. 30.24ECh. 30 - Prob. 30.25ECh. 30 - In Fig. 30.11, switch S1 is closcd while switch S2...Ch. 30 - In Fig. 30.11, suppose that = 60.0 V, R = 240 ,...Ch. 30 - Prob. 30.28ECh. 30 - Prob. 30.29ECh. 30 - Prob. 30.30ECh. 30 - In an L-C circuit. L = 85.0 mH and C = 3.20F....Ch. 30 - Prob. 30.32ECh. 30 - A 7.50-nF capacitor is charged up to 12.0 V, then...Ch. 30 - Prob. 30.34ECh. 30 - Prob. 30.35ECh. 30 - A Radio Tuning Circuit. The minimum capacitance of...Ch. 30 - An L-C circuit containing an 80.0-mH inductor and...Ch. 30 - An L-R-C series circuit has L = 0.600 H and C =...Ch. 30 - Prob. 30.39ECh. 30 - An L-R-C series circuit has L = 0.400 H, C = 7.00...Ch. 30 - Prob. 30.41ECh. 30 - Prob. 30.42PCh. 30 - Prob. 30.43PCh. 30 - Prob. 30.44PCh. 30 - Solar Magnetic Energy. Magnetic fields within a...Ch. 30 - CP CALC A Coaxial Cable. A small solid conductor...Ch. 30 - Prob. 30.47PCh. 30 - CALC Consider the circuit in Fig. 30.11 with both...Ch. 30 - Prob. 30.49PCh. 30 - Prob. 30.50PCh. 30 - Prob. 30.51PCh. 30 - Prob. 30.52PCh. 30 - Prob. 30.53PCh. 30 - A 6.40-nF capacitor is charged to 24.0 V and then...Ch. 30 - An L-C circuit consists of a 60.0-mH inductor and...Ch. 30 - A charged capacitor with C = 590 F is connected in...Ch. 30 - CP In the circuit shown in Fig. P30.57, the switch...Ch. 30 - Prob. 30.58PCh. 30 - Prob. 30.59PCh. 30 - Prob. 30.60PCh. 30 - Prob. 30.61PCh. 30 - Prob. 30.62PCh. 30 - Prob. 30.63PCh. 30 - After the current in the circuit of Fig. P30.63...Ch. 30 - CP In the circuit shown in Fig. P30.65, switch S...Ch. 30 - Prob. 30.66PCh. 30 - Prob. 30.67PCh. 30 - Prob. 30.68PCh. 30 - Prob. 30.69PCh. 30 - CP A Volume Gauge. A tank containing a liquid has...Ch. 30 - Prob. 30.71CPCh. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...Ch. 30 - BIO QUENCHING AN MRI MAGNET. Magnets carrying very...
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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_forwardThe self-inductance of a coil is zero if there is no current passing through the windings. True or false?arrow_forward(a) Calculate the self-inductance of a 50.0 cm long, 10.0 cm diameter solenoid having 1000 loops. (b) How much energy is stored in this inductor when 20.0 A of current flows through it? (c) How fast can it be turned off if the induced emf cannot exceed 3.00 V?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_forwardWould the self-inductance of a 1.0 m long, tightly wound solenoid differ from the self-inductance per meter of in infinite, but otherwise identical, solenoid?arrow_forward
- A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0 cm2. What is the self-inductance of the solenoid?arrow_forwardA coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10-3 m2. The solenoid is 0.50 m long and has 500 turns. (a) What is the mutual inductance of this system? (b) The outer coil is replaced by a coil of 40 turns whose radius is three times that of the solenoid. What is the mutual inductance of this configuration?arrow_forwardA solenoid of N1turns has length l1and radius R1, and a second smaller solenoid of N2turns has length l2and radius R2. The smaller solenoid is placed completely inside the larger solenoid so that their long axes coincide. What is the mutual inductance of the two solenoids?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 ratio of its outer radius to its inner radius?arrow_forward(a) Using the exact exponential treatment, find the time required for the current through a 2.00 H inductor in series with a 0.500 (resistor to be reduced to 0.100% of its original value. (b) Compare your answer to the approximate treatment using integral numbers of . (c) Discuss how signi?cant the difference is.arrow_forwardA long, current-carrying solenoid with an air core has 1700 turns per meter of length and a radius of 0.0195 m. A coil of 150 turns is wrapped tightly around the outside of the solenoid, so it has virtually the same radius as the solenoid. What is the mutual inductance of this system? Number Unitsarrow_forward
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