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**Unformatted text preview: **PHYS 1004 INTRODUCTORY ELECTROMAGNETISM AND WAVE MOTION 2013 Winter Term Assigned Problems for Tutorial #6: Faraday’s Law & Inductance, AC Circuits 1. The loop in the figure below has a width of w = 5 . 0 cm and is being pushed into the B = 0 . 20 T magnetic field at a speed of v = 50 m/s. The resistance of the loop is R = 0 . 10 Ω. a. What is the direction of the induced current in the loop? b. Find an expression for the magnitude of the induced current in the loop in terms of the given variables. c. What is the value of the magnitude of the induced current in the loop? 2. The maximum allowable potential difference across a L = 200 mH inductor is Δ V max = 400 V. You need to raise the current through the inductor from I 1 = 1 . 0 A to I 2 = 3 . 0 A. a. Find an expression for the minimum time you should allow for changing the current. b. What is the value of the minimum time you should allow for changing the current? 1 3. The figure below shows a square of side length a = 10 cm bent at a 90 ◦ angle. A uniform B = 0 . 050 T magnetic field points downward at a 45 ◦ angle. a. Find an expression for the magnetic flux through the loop. b. What is the value of the magnetic flux through the loop? 4. A square loop of side length a = 10 cm lies in the xy-plane. The magnetic field in this region of space is ~ B = (0 . 30 t ˆ i + 0 . 50 t 2 ˆ k ) T, where t is in seconds....

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