University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Question
Chapter 30, Problem 30.7DQ
To determine
The proposed design of inductor whether it will act as a resistor or not.
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An air-filled cylindrical inductor has 2600 turns, and it is 2.4 cm in diameter and 34.5 cm long.
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How many turns would you need to generate the same inductance if the core were iron-filled instead? Assume the magnetic permeability of iron is about 1200 times that of free space.
At the instant when the current in an inductor is increasing with a rate of 640 x 10-4 A/s, the modulus of the self-induced electromotive force is equal to 160 x 10-4 V.
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In a series RL circuit, the resistance is 135 ohms, the inductance is 120 x 10-3 H, and the source of electromotive force is ξ. After some time, the current in the circuit reaches its maximum value, and at this time the energy stored in the inductor is 230 x 10-3 J.
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b) Next, we remove the electromotive force source and connect the inductor directly to the resistor. How long will it take for the energy stored in the inductor to decrease to half of its initial value?
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_forwardSuppose 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 self-inductance of a coil is zero if there is no current passing through the windings. True or false?arrow_forward
- A 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_forwardConsider the circuit in Figure P32.18, taking = 6.00 V, L = 8.00 mH, and R = 4.00 . (a) What is the inductive time constant of the circuit? (b) Calculate the current in the circuit 250 s after the switch is closed. (c) What is the value of the final steady-state current? (d) After what time interval does the current reach 80.0% of its maximum value?arrow_forwardA toroidal coil has a mean radius of 16 cm and a cross-sectional area of 0.25 cm2; it is wound uniformly with 1000 turns. A second toroidal coil of 750 turns is wound uniformly over the first coil. Ignoring the variation of the magnetic field within a toroid, determine the mutual inductance of the two coils.arrow_forward
- A 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_forwardAn inductor used in a dc power supply has an inductance of 12.0 H and a resistance of 180 Ω. It carries a current of 0.500 A. (a) What is the energy stored in the magnetic field? (b) At what rate is thermal energy developed in the inductor? (c) Does your answer to part (b) mean that the magnetic-field energy is decreasing with time? Explain.arrow_forwardFor the RL circuit shown in Figure, let the inductance be 3.00 H, the resistance 8.50 ohm, and the battery emf 36.0 V. (a) Calculate the ratio of the potential difference across the resistor to that across the inductor when the current is 2.00 A. delta V_R/delta V_L (b) Calculate the voltage across the inductor when the current is 4.50 Aarrow_forward
- After being closed for a long time, the switch S in the circuit shown in the figure below is thrown open at t = 0. In the circuit, & = 24.0 V, RA = 3.80 kn, RB = 7.10 kn, and L = 646 mH. RA a ୪୪୪ L b RB (a) What is the emf across the inductor immediately after the switch is opened? V (b) When does the current in the resistor RB have a magnitude of 1.00 mA? Sarrow_forwardInductors in series. Two inductors L1 = 1.06 H and L2 = 2.07 H are connected in series and are separated by a large distance so that the magnetic field of one cannot affect the other. (a) Calculate the equivalent inductance. (Hint: Review the derivations for resistors in series and capacitors in series.Which is similar here?) (b) What is the generalization of (a) for N = 32 similar inductors L = 3.32 H in series?arrow_forward
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