CP CALC In the circuit shown in Fig. P29.47, the capacitor has capacitance C = 20μF and is initially charged to 100 V with the polarity shown. The resistor R0 has resistance 10 Ω. At time t = 0 the switch S is closed. The small circuit is not connected in any way to the large one. The wire of the small circuit has a resistance of 1.0 Ω/m and contains 25 loops. The large circuit is a rectangle 2.0 m by 4.0 m, while the small one has dimensions a = 10.0 cm and b = 20.0 cm. The distance c is 5.0 cm. (The figure is not drawn to scale.) Both circuits are held stationary. Assume that only the wire nearest the small circuit produces an appreciable magnetic field through it. (a) Find the current in the large circuit 200 μs after S is closed. (b) Find the current in the small circuit 200 μs after S is closed. (Hint: See Exercise 29.7.) (c) Find the direction of the current in the small circuit. (d) Justify why we can ignore the magnetic field from all the wires of the large circuit except for the wire closest to the small circuit.
Figure P29.47
Want to see the full answer?
Check out a sample textbook solutionChapter 29 Solutions
University Physics with Modern Physics (14th Edition)
Additional Science Textbook Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
College Physics
Physics: Principles with Applications
The Cosmic Perspective (8th Edition)
Physics for Scientists and Engineers with Modern Physics
Lecture- Tutorials for Introductory Astronomy
- Figure P29.84 shows a circuit that consists of two identical emf devices. If R1 = R2 = R and the switch is closed, find an expression (in terms of R and ) for the current I that is in the branch from point a to b.arrow_forwardIn the circuit of Figure P27.25, the switch S has been open for a long time. It is then suddenly closed. Determine the time constant (a) before the switch is closed and (b) after the switch is closed. (c) Let the switch be closed at t = 0. Determine the current in the switch as a function of time. Figure P27.25 Problems 25 and 26.arrow_forwardIn the circuit of Figure P21.57, the switch S has been open for a long time. It is then suddenly closed. Take = 10.0 V, R1 = 50.0 k, R2 = 100 k, and C = 10.0 F. Determine the time constant (a) before the switch is closed and (b) after the switch is closed. (c) Let the switch be closed at t = 0. Determine the current in the switch as a function of time.arrow_forward
- Figure P29.60 shows a simple RC circuit with a 2.50-F capacitor, a 3.50-M resistor, a 9.00-V emf, and a switch. What are a. the charge on the capacitor, b. the current in the resistor, c. the rate at which the capacitor is storing energy, and d. the rate at which the battery is delivering energy exactly 7.50 s alter the switch is closed?arrow_forwardIn the RC circuit shown in Figure P29.78, an ideal battery with emf and internal resistance r is connected to capacitor C. The switch S is initially open and the capacitor is uncharged. At t = 0, the switch is closed. a. Determine the charge q on the capacitor at time t. b. Find the current in the branch be at time t. What is the current as t goes to infinity?arrow_forwardThe emfs in Figure P29.43 are 1 = 6.00 V and 2 = 12.0 V. The resistances are R1 = 15.0 , R2 = 30.0 , R3 = 45.0 , and R4 = 60.0 . Find the current in each resistor when the switch is a. open and b. closed.arrow_forward
- Useful Constants: k = 9.00 × 10º Nm² C2 8.85 x 10-12 C² Nm2 %3D e = 1.6 x 10-19 C me = 9.11 x 10 mp = 1.67 × 10-27kg %3D -27 mn = 1.68 x 10 %3Darrow_forwardThe figure below shows a capacitor, with capacitance C = 27.5 µF, and a resistor, with resistance R = 87.5 kΩ, connected in series to a battery, with = 25.0 V. The circuit has a switch, which is initially open. The circuit is a rectangular loop. The bottom side of the loop has an open switch S. The right side has a resistor R below a capacitor C. The left side has a battery labeled emf, oriented with the positive terminal above the negative terminal. (a) What is the circuit's time constant (in s)? (b) After the switch is closed for one time constant, how much charge (in C) is on the capacitor?arrow_forwardFor the circuit shown in the figure, C = 12 µF and R = 8.5 MΩ. Initially the switch S is open with the capacitor charged to a voltage of 80 V. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor, when the current in the circuit is 3.3 µA?arrow_forward
- 15V a. + AM 10.2. 4 t=0 um 45² 652 im + V 1 ic (t) b. Assume switch has been closed for Find a mathematical expression for Vc it capacitor is initially uncharged and the switch is closed at t = 0. Sketch Vc lt). 20m F a long time. opening Fird an expression for ic immediately after the switch and sketch it.arrow_forwardA parallel plate capacitor, circular in shape, is connected to a ℰ = 9.6 V battery and a R = 2100 Ω resistor in series as shown in the figure. The radius of each of the circular plate is a = 0.95 m and they are separated by a gap of d = 0.16 m. a) What is the current, in amperes, from the battery when the switch is closed at t=0? b) What is the magnetic field, in T, at a distance of r= 1.2m from the axis of the capacitor when the switch is closed?arrow_forwardA 10 MΩ resistor is connected in series with a 1.0 μF capacitor and a battery with emf 12.0 V. Before the switch is closed at time t=0,the capacitor is uncharged. What fraction of the final charge Qf is on the capacitor at t=10s?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning