Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 30, Problem 64P
To determine
To find:
The number multiple of inductive time constant at which energy stored in the inductor’s magnetic field is 0.500 of its steady-state value
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At t = 0, a battery is connected to a series arrangement of a resistor and an inductor. At what multiple of the inductive time constant will the energy stored in the inductor’s magnetic field be 0.500 its steady-state value?
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Chapter 30 Solutions
Fundamentals of Physics Extended
Ch. 30 - If the circular conductor in Fig. 30-21 undergoes...Ch. 30 - Prob. 2QCh. 30 - Prob. 3QCh. 30 - Prob. 4QCh. 30 - Prob. 5QCh. 30 - Prob. 6QCh. 30 - Prob. 7QCh. 30 - Prob. 8QCh. 30 - Prob. 9QCh. 30 - Prob. 10Q
Ch. 30 - Figure 30-31 shows three situations in which a...Ch. 30 - Figure 30-32 gives four situations in which we...Ch. 30 - Prob. 1PCh. 30 - A certain elastic conducting material is stretched...Ch. 30 - Prob. 3PCh. 30 - A wire loop of radius 12 cm and resistance 8.5 is...Ch. 30 - Prob. 5PCh. 30 - Figure 30-37a shows a circuit consisting of an...Ch. 30 - In Fig. 30-38, the magnetic flux through the loop...Ch. 30 - Prob. 8PCh. 30 - Prob. 9PCh. 30 - Prob. 10PCh. 30 - A rectangular coil of N turns and of length a and...Ch. 30 - Prob. 12PCh. 30 - Prob. 13PCh. 30 - GO In Fig. 30-42a, a uniform magnetic field B...Ch. 30 - GO A square wire loop with 2.00 m sides is...Ch. 30 - GO Figure 30-44a shows a wire that forms a...Ch. 30 - A small circular loop of area 2.00 cm2 is placed...Ch. 30 - Prob. 18PCh. 30 - ILW An electric generator contains a coil of 100...Ch. 30 - At a certain place, Earths magnetic field has...Ch. 30 - Prob. 21PCh. 30 - A rectangular loop area = 0.15 m2 turns in a...Ch. 30 - SSM Figure 30-47 shows two parallel loops of wire...Ch. 30 - Prob. 24PCh. 30 - GO Two long, parallel copper wires of diameter 2.5...Ch. 30 - GO For the wire arrangement in Fig. 30-49, a =...Ch. 30 - ILW As seen in Fig. 30-50, a square loop of wire...Ch. 30 - Prob. 28PCh. 30 - Prob. 29PCh. 30 - Prob. 30PCh. 30 - Prob. 31PCh. 30 - A loop antenna of area 2.00 cm2 and resistance...Ch. 30 - GO Figure 30-54 shows a rod of length L = 10.0 cm...Ch. 30 - Prob. 34PCh. 30 - Prob. 35PCh. 30 - Prob. 36PCh. 30 - Prob. 37PCh. 30 - Prob. 38PCh. 30 - Prob. 39PCh. 30 - Prob. 40PCh. 30 - A circular coil has a 10.0 cm radius and consists...Ch. 30 - Prob. 42PCh. 30 - Prob. 43PCh. 30 - Prob. 44PCh. 30 - Prob. 45PCh. 30 - Prob. 46PCh. 30 - Inductors in series. Two inductors L1 and L2 are...Ch. 30 - Prob. 48PCh. 30 - Prob. 49PCh. 30 - Prob. 50PCh. 30 - ILW The current in an RL circuit drops from 1.0 A...Ch. 30 - Prob. 52PCh. 30 - Prob. 53PCh. 30 - Prob. 54PCh. 30 - Prob. 55PCh. 30 - Prob. 56PCh. 30 - In Fig. 30-65, R = 15 , L = 5.0 H, the ideal...Ch. 30 - Prob. 58PCh. 30 - Prob. 59PCh. 30 - Prob. 60PCh. 30 - Prob. 61PCh. 30 - A coil with an inductance of 2.0 H and a...Ch. 30 - Prob. 63PCh. 30 - Prob. 64PCh. 30 - Prob. 65PCh. 30 - A circular loop of wire 50 mm in radius carries a...Ch. 30 - Prob. 67PCh. 30 - Prob. 68PCh. 30 - ILW What must be the magnitude of a uniform...Ch. 30 - Prob. 70PCh. 30 - Prob. 71PCh. 30 - Prob. 72PCh. 30 - Prob. 73PCh. 30 - Prob. 74PCh. 30 - Prob. 75PCh. 30 - Prob. 76PCh. 30 - Prob. 77PCh. 30 - Prob. 78PCh. 30 - SSM In Fig. 30-71, the battery is ideal and = 10...Ch. 30 - Prob. 80PCh. 30 - Prob. 81PCh. 30 - A uniform magnetic field B is perpendicular to the...Ch. 30 - Prob. 83PCh. 30 - Prob. 84PCh. 30 - Prob. 85PCh. 30 - Prob. 86PCh. 30 - Prob. 87PCh. 30 - Prob. 88PCh. 30 - A coil with an inductance of 2.0 H and a...Ch. 30 - Prob. 90PCh. 30 - Prob. 91PCh. 30 - Prob. 92PCh. 30 - Prob. 93PCh. 30 - A long cylindrical solenoid with 100 turns/cm has...Ch. 30 - Prob. 95PCh. 30 - A square loop of wire is held in a uniform 0.24 T...Ch. 30 - Prob. 97PCh. 30 - The inductance of a closely wound coil is such...Ch. 30 - The magnetic field in the interstellar space of...Ch. 30 - Prob. 100PCh. 30 - A toroid has a 5.00 cm square cross section, an...
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- Design 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_forwardA coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A. (a) What is the energy stored in the magnetic field of the coil? (b) What is the energy per second dissipated in the resistance of the coil?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 current flowing through a rectangular toroid when the energy in its magnetic field is 2.0 × 10-6 J?arrow_forward
- A circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.060 T. The plane of the loop is perpendicular to the direction of the magnetic field. In a time interval of 0.50 s, the magnetic field changes to the opposite direction with a magnitude of 0.040 T. What is the magnitude of the average emf induced in the loop? (a) 0.20 V (b) 0.025 V (c) 5.0 mV (d) 1.0 mV (e) 0.20 mVarrow_forwardA 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.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
- Show 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_forwardFigure P23.58 is a graph of the induced emf versus time for a coil of N turns rotating with angular speed ω in a uniform magnetic field directed perpendicular to the coil’s axis of rotation. What If? Copy this sketch (on a larger scale) and on the same set of axes show the graph of emf versus t (a) if the number of turns in the coil is doubled, (b) if instead the angular speed is doubled, and (c) if the angular speed is doubled while the number of turns in the coil is halved. Figure P23.58arrow_forwardA 10.0-V battery, a 5.00-Q resistor, and a 10.0-H inductor are connected in series. After the current in the circuit has reached its maximum value, calculate the energy stored in the magnetic field of the inductor.arrow_forward
- a 12.0 V ideal battery, a 20.0 resistor, and an inductor are connected by a switch at time t = 0. At what rate is the battery transferring energy to the inductor’s field at t = 1.61tL?arrow_forwardIn a practical electrical circuit, inductors are often coils of wire in the form of a solenoid. Consider a solenoid of length 2.0 cm consisting of 1000 turns of wire. Each turn is a circular loop with a radius of 0.50 cm. Calculate the value of L.arrow_forwardThe armature of an AC generator consists of 10 turns of wires, with an area of 0.5 m2 each, having a total resistance of 15.00. The armature rotates in a uniform magnetic field of 0.75 T, at a constant frequency of 60 Hz with its axis of rotation perpendicular to the magnetic field. What is the induced electromotive force and current at t= π/6 s?arrow_forward
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