Physics 202 Midterm Exam 3 April 25, 2012

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1 ID CODE: C Physics 202 Midterm Exam 3 April 25, 2012 Name:... Student ID:... Section:... TA (please circle): Deepak Agarwal Nicholas Brewer Raghvendra Chaubey Todd Garon Yutao Gong Andrew Loveridge Abhishek Shah Ripudaman Singh Nicole Vassh Instructions: 1. Donʼt forget to write down your name, student ID#, and section number. You need do this on (this page of) your test book and on your Scantron sheet as well. 2. Answer all multiple choice questions in this test book by indicating the best answer among choices. You must do this both on your test book and on your Scantron sheet. Follow instructions on the Scantron sheet on how to mark valid answers. 3. When you finish, you need to turn in both this test book and the Scantron sheet. 4: Use the blank side of question pages as additional draft spaces. An extra blank sheet is provided at the end of the test book. 5: Only one answer is allowed per problem/question. All problems have equal weight. Constants: k e = 9x10 9 Nm 2 /C 2 = 1/(4πε 0 ), ε 0 = 8.85x10-12 C 2 /(Nm 2 ) µ 0 =4πx10-7 Tm/A Please be very careful with the first question even though the answer will not count towards your grade: 1. ENTER THE ID CODE ABOVE IN THE UPPER RIGHT CORNER A. ID Code A B. ID Code B C. ID Code C D. ID Code D E. ID Code E

2 2. When the switch S is being closed, what is the direction of the current passing through R? A. Left to right B. Right to left 3. What is the direction of the current passing through R when the magnet is approaching the loop? a b A. a to b B. b to a 4. What is the direction of the current passing through R? R I decreasing A. Left to right B. Right to left

3 5. As shown in the figure, a circular circuit loop of area A=0.1 m 2 containing a resistor R and a capacitor C is placed inside a uniform magnetic field pointing into the page. The plane of the loop is normal to the field. At t=0, the magnetic field strength starts to increase at a constant rate db/dt=100 T/s. On which side of the capacitor is positive charge being accumulated? A. Upper side B. Bottom side C. Not enough information to determine. 6. In the above setting, what is the maximum voltage the capacitor can be charged? A. 20 V B. 100 V C. 10 V D. 25 V E. None of above is within 1V from the correct answer. 7. A uniform magnetic field inside a superconducting solenoid is 5.40 T. The solenoid has an inner diameter of 6.20 cm and a length of 26.0 cm. What is the total energy stored in this solenoid? A. 9.1 kj B kj C kj D kj E. None of above is within 10% from the correct answer.

4 8. The figure below shows a top view of a conducting bar sliding on two frictionless rails inside a magnetic field B=2.5T that is pointing into the page. The bar, two rails, and a resistor R =6.4 Ω form a closed circuit. Let l = 1.20 m. The bar is moving to the right at a constant speed of 1.7 m/s. What is the current through R? A. 0.6A B. 0.8A C. 0.7A D. 0.5A E. None of above is within 0.1A from the correct answer. 9. In the above setting, what is the magnitude of the force that is required to maintain the bar at the constant speed (of 1.7 m/s)? A. 1.3 N B. 2.4 N C. 3.7 N D. 4.5 N E. None of above is within 0.2N from the correct answer. 10. The current in a coil changes from 3.30 A to 1.90 A in the same direction in s. If the average emf induced in the coil is 10.0 mv, what is the inductance of the coil? A. 2.4 mh B. 3.6 mh C. 4.8 mh D. 6.0 mh E. None of above is within 0.2mH from the correct answer.

5 11. A series RCL circuit as shown is driven by a AC power source. The AC power has a fixed voltage amplitude and a tunable frequency. If the R=100Ω, C=2.0 µf, L= 20 mh, and the voltage output of the AC source is ΔV=24.0sin(4000t) in SI units, what is the amplitude of the current in the circuit? A. 0.11A B. 0.15A C. 0.22A D. 0.24A E. None of above is within 0.01A from the correct answer. 12. In the above setting, what is the amplitude of the voltage across the LC combination? A. 9.9 V B. 13.8V C V D. 24V E. None of above is within 0.2V from the correct answer. 13. Still in the above setting, what is the average (total) power consumed in the circuit? A. 0.6W B. 1.1W C. 2.4W D. 2.9W E. None of above is within 0.2W from the correct answer.

6 14. Yet still in the above circuit, if we want to increase the (average) power consumed by the resistor from the current level, what shall we do about the frequency? (note, the voltage amplitude of the AC source is fixed). A. Increase frequency from current setting. B. Decrease frequency from current setting. C. Turning frequency won t help as the resistance is independent of frequency. D. Not enough information to determine. 15. Yet still in this circuit, if we want to increase the (average) power consumed by the capacitor from the current level, what shall we do about the frequency? (note, the voltage amplitude of the AC source is fixed). A. Increase frequency from current setting. B. Decrease frequency from current setting. C. Turning frequency won t change the average power consumed by a capacitor. D. Not enough information to determine. 16. An electromagnetic wave is propagating in y direction. At a certain moment, the electric field at a point in space is oriented in the positive x direction. In which direction is the magnetic field at same point oriented at this moment? A. + y B. - x C. + z D. - z E. None of above. 17. A WI-FI access point is broadcasting 2.4 GHz signals in all directions (3D isotropic). What is the wave length of the radio waves it emits? A. 2.4 m B. 1.2 cm C. 2.4 cm D cm E. None of above is within 10% of the correct answer. 18. If the average signal output power of the above access point is 20 mw, what is the (average) signal intensity 3 meters away? A. 1.8 x10-4 W/m 2 B. 7.1 x10-4 W/m 2 C. 2.2 x10-3 W/m 2 D. 6.6 x10-3 W/m 2 E. None of above is within 10% from the correct answer

7 19. A laptop is barely able to receive the signal 10 meters from the above access point. If the output power of the access point is doubled, the WI-FI receivable range of the same laptop becomes now about: A. 10 meters B. 15 meters C. 20 meters D. 40 meters E. none of above is within 20% of the correct answer. 20. A 18.0-mW helium neon laser emits a beam of circular cross section with a diameter of 2.95 mm. How much energy is delivered in 1.0 second of time period? A. 18x10-3 J B. 6x10-3 J C. 60x10-12 J D. It can be determined but none of above is within 10% of the correct error. E. Not enough information to determine, as the frequency (period) of the laser is not given. 21. A 18.0-mW helium neon laser emits a beam of circular cross section with a diameter of 2.95 mm. What is the total energy contained in 1.0 m length of the beam? A. 18x10-3 J B. 6x10-3 J C. 60x10-12 J D. It can be determined but none of above is within 10% of the correct error. E. Not enough information to determine, as the wavelength of the laser is not given.

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