Test_3_SP 2023 - Solutions

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Kennesaw State University *

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2212

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Electrical Engineering

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Apr 3, 2024

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page 1 of 7 Name (please print) TEST 3 – April 3, 2023 PHYS 2212 – BAHRI PART I – Multiple Choice [5 pts each] Choose the best answer. 1. Three 4.00-µF capacitors are connected in parallel across the terminals of a 60.0-Hz generator. What is the capacitive reactance of the circuit? A. 39.0 Ω B. 221 Ω C. 330 Ω D. 660 Ω E. 1.00 × 10 3 Ω 2. The electric field emitted by a radio tower has an amplitude of 180 V/m. What is the amplitude of the corresponding magnetic field? A. B. C. D. E. 3. Which one of the following statements concerning electromagnetic waves is false ? A. Electromagnetic waves carry energy. B. Visible light is an electromagnetic wave. C. Low frequency electromagnetic waves can be produced by oscillating circuits. D. Electromagnetic waves are basically oscillating perpendicular electric and magnetic fields. E. Visible light has longer wavelengths than radio waves.

page 2 of 7 4. A series RCL circuit has a resonant frequency of 690 kHz. If the value of the capacitance is , what is the value of the inductance? A. B. 2.7 × 10 − 5 H C. D. E. 5. FM radio station WSRV in Atlanta broadcasts at 97.1 MHz. What is the wavelength of these electromagnetic waves? A. 3.09 m B. 56.2 m C. 0.620 m D. 3.10 × 10 -3 m E. 3.24 × 10 -7 m 6. The 6.50 A current through a 6.50 mH inductor is switched off in 8.00 ms. What is the induced emf opposing this? A. 6.50 V B. 5.28 V C. 7.80 V D. 2.57 V E. 8.00 V 7. The design requirements of 50-Hz ac generator specify a maximum emf of 6,600 V. The generator has a 50 turn coil that has an area per turn of 0.55 m 2 . What should be the magnitude of the magnetic field in which the coil rotates? A. 0.12 T B. 0.76 T C. 0.95 T D. 0.60 T E. 0.50 T 8. At what speed must the sliding rod in the figure move to produce and emf of 2.50 V in a 1.50 T field, given that the rod’s length is 30.0 cm? A. 2.22 m/s

page 3 of 7 B. 7.82 m/s C. 5.56 m/s D. 6.52 m/s E. 0.500 m/s PART II – Free Response [15 points each]  Any notation not consistent with the book’s notation must be defined explicitly.  You must show your work to receive full credit.  All problems require an equation(s) from the equation sheet, written in symbols only. 9. An RLC circuit has a 2.80  resistor, a 15 mH inductor, and an 88.0  F capacitor. What is the power factor

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page 4 of 7 if the circuit operates at 120 Hz? [ Draw and label the circuit ] 10. A circular coil enclosing an area of 160 cm2 is made of 210 turns of copper wire (shown in the figure below). The wire making up the coil has no resistance; the ends of the wire are connected across a 3.00-Ω

page 5 of 7 resistor to form a closed circuit. Initially, a 1.20-T uniform magnetic field points perpendicularly upward through the plane of the coil. The direction of the field then reverses so that the final magnetic field has a magnitude of 1.20 T and points downward through the coil. If the time interval required for the field to reverse directions is 0.400 s, what is the average current in the coil during that time? 11. The rechargeable batteries for a laptop computer need a much smaller voltage than what a wall socket pro- vides. Therefore, a transformer is plugged into the wall socket and produces the necessary voltage for charging the batteries. The batteries are charged at 15.0 V, and a current of 255 mA is used to charge them. The wall socket provides a voltage of 120 V. (a) If the primary on the transformer has 1000 turns, how

page 6 of 7 many turns are on the secondary? (b) What is the current coming from the wall socket? (c) Find the average power delivered by the wall socket. [ No drawing required ]

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page 7 of 7 12. An electron moves through a uniform electric field E = (2.00 î + 4.30 ĵ ) V/m and a uniform magnetic field B = 0.400 k T. Determine the acceleration of the electron when it has a velocity v = 7.0 î m/s. (Give each component in m/s 2 .)