College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The current through a 3.2-mH inductor varies with time according to the graph shown in the drawing. What is the average induced emf during the time intervals (a) 0–2.0 ms, (b) 2.0–5.0 ms, and (c) 5.0–9.0 ms?
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- 0:00 PM (11%) Problem 6: A 1.55 H inductor in an RL circuit (with resistance 1.95 Q) is initially carrying a current of 5.15 A. A switch is then thrown (between positions 1 and 2, see figure), which causes the inductor to begin losing energy. Randomized Variables I = 5.15 A L= 1.55 H R= 1.95 2 Otheex D A 33% Part (a) What is the initial energy in the inductor in J? Eind Grade SL Deduction Potential sin) cos() tan() 7. 8. HOME TC Submissi cotan asin() acos) E 4. 6. Attempts (39 per a detailed atan() acotan() sinh) 1 3 cosh() tanh() cotanh) END O Degrees O Radians VolBACKSPACE CLEAR Submit Hint Feedlack I give up! Hints: 096 deduction per hint Hints remaining: 3 Feedback: O96 deduction per feedback A 33% Part (b) How long will it take the current to decline to 25.00% of its initial value? Express this value in seconds. A 33% Part (c) Calculate the average power dissipated in W. All content 2021 Expert TA, LLC Rarrow_forwardThe current in a 62 mH inductor changes with time as I = bt- at. With a = 6 A/s and b = the magnitude of the induced emf, E, at 6 A/s, find t = 0.7 s. Answer in units of V. At what time is the emf zero?arrow_forwardA loop of wire has a self-inductance of 5.5 mH. You pass a current of 9.0 Amps though the loop, and then drop the current to 0 at a contastant rate over 3.5 seconds. What is the EMF generated?arrow_forward
- In the figure, R = 11.0 Ω, C = 6.82 μF, and L = 54.0 mH, and the ideal battery has emf = 32.0 V. The switch is kept in position a for a long time and then thrown to position b. What are the (a) frequency and (b) current amplitude of the resulting oscillations?arrow_forwardA 12.0 V battery is connected into a series circuit containing a 20.0 resistor and a 1.50 H inductor. (a) In what time interval (in s) will the current reach 50.0% of its final value? S (b) In what time interval (in s) will the current reach 90.0% of its final value? S What If? After a very long time, using a switch like that shown in the figure below, the battery is removed and the inductor is connected directly across the resistor. R Są ob ก ε ele (c) In what time interval (in s) will the current decrease to 50.0% of its initial value? S (d) In what time interval (in s) will the current decrease to 10.0% of its initial value? Sarrow_forwardA 17.0 μF capacitor is charged by a 130.0 V power supply, then disconnected from the power and connected in series with a 0.280 mH inductor. Calculate the energy stored in the inductor at t = 1.30 ms .arrow_forward
- Chapter 30, Problem 046 The current i through a 3.8 H inductor varies with time t as shown by the graph of the figure. The inductor has a resistance of 12 №. Find the magnitude of the induced emf ɛ during the time intervals (a) t = 0 to 2 ms; (b) 2 ms to 5 ms, and (c) 5 ms to 6 ms. (Ignore the behavior at the ends of the intervals.) (V)? 6 4 2 0 2 / (ms) 4 6arrow_forwardA 35.0 V battery with negligible internal resistance, a 50.0 Ohm resistor, and a 1.25 mH inductor with negligible resistance are all connected in series with an open switch. The switch is suddenly closed. How long after closing the switch will the current through the inductor reach one-half of its maximum value? How long after closing the switch will the energy stored in the inductior reach one-half of its maximum value?arrow_forwardRemove the inductor from the circuit in the figure and set R = 216 Q, C = 18.6 µF, fd = 60.0 Hz, and &m = 36.0 V. What are (a) Z, (b) , and (c) I? 90 R L 000 (a) Number Units (b) Number Units (c) Number Unitsarrow_forward
- A 10.0-mH inductor carries a current /=/max sin wt, with Imax = 5.00 A and f = w/2π = 60.0 Hz. What is the self-induced emf as a function of time?arrow_forwardProblem 1. The wire is moving to the left with a linear velocity of 10 m/s as shown. Determine the magnitude and direction of the emf induced in the wire. Include a brief explanation. X X 45° Xv = 10 m/s 1=0.25 m X, X B= 02 T, into the page XE Xarrow_forward
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