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Unformatted text preview: rosen (arr956) Homework 10 Chiu (58295) 1 This print-out should have 27 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points A powerful electromagnet has a field of 1 . 56 T and a cross sectional area of 0 . 724 m 2 . Now we place a coil of 176 turns with a total resistance of 2 . 45 around the electromagnet and turn off the power to the electromagnet in 0 . 0154 s. What will be the induced current in the coil? Answer in units of a. 002 10.0 points A coil with N 1 = 14 turns and radius r 1 = 5 . 18 cm surrounds a long solenoid of radius r 2 = 1 . 15 cm and N 2 2 = n 2 = 1300 m 1 (see the figure below). The current in the solenoid changes as I = I sin( t ), where I = 5 A and = 120 rad / s. R a b E 2 1 Outside solenoid has N 1 turns Inside solenoid has N 2 turns A 1 A 2 What is the magnitude of the induced emf , E AB , across the 14 turn coil at t = 1000 s? Answer in units of V. 003 10.0 points A long solenoid has a coil made of fine wire inside it and coaxial with it. I Outside solenoid has n turns per meter Inside coil has N turns r R Given a varying current I in the outer solenoid, what is the emf induced in the inner loop? 1. E = R 2 n N d I dt 2. E = R N d I dt 3. E = r 2 n d I dt 4. E = r 2 n N d I dt 5. E = R n d I dt 6. E = r N d I dt 7. E = R 2 n d I dt 8. E = r n d I dt 9. E = R n N d I dt 10. E = r n N d I dt 004 10.0 points A long solenoid has a tilted coil inside it made of fine wire, as shown in the figure below. I Outside solenoid has n turns per meter Inside coil has N turns r x R What is the mutual inductance M between rosen (arr956) Homework 10 Chiu (58295) 2 the solenoid and the coil? 1. M = n N r 2 2 sin 2. M = n N r 2 sin 3. M = n N R 2 2 4. M = n N r 2 5. M = n N r 2 2 cos 6. M = n N r 2 cos 7. M = n N R 2 sin 8. M = n N R 2 cos 9. M = n N r 2 2 10. M = n N R 2 005 (part 1 of 2) 10.0 points At t = 0, a 7 . 4 V battery is connected to a series circuit containing a 7 resistor and a...
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