# Hwk7A - . 10-13 i T. What are the speed and direction of...

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PHYS 153 Term 2, 2008-09 Homework 7A Mar. 9 - 13 Problem 1 The 10-turn loop of wire shown in the ﬁgure below lies in a horizontal plane, parallel to a uniform horizontal magnetic ﬁeld, and carries a 2 . 0 A current. The loop is free to rotate about a nonmagnetic axle through the center. A 50 g mass hangs from one edge of the loop. What magnetic ﬁeld strength will prevent the loop from rotating about the axle? Figure 1: ﬁg. for Problem 1 Problem 2 The two insulated wires in the ﬁgure below cross at a 30 angle but do not make electrical contact. Each wire carries a 5 . 0 A current. Points 1 and 2 are each 4 . 0 cm from the intersection and equally distant from both wires. What are the magnitude and direction of the magnetic ﬁelds at points 1 and 2? Figure 2: ﬁg. for Problem 2 1 - 1

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Problem 3 A proton is passing through the origin with a velocity v . The magnetic ﬁeld at the ( x, y, z ) position (1 mm , 0 mm , 0 mm) is 1 . 0 × 10 - 13 ˆ j T. The ﬁeld at (0 mm , 1 mm , 0 mm) is - 1
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Unformatted text preview: . 10-13 i T. What are the speed and direction of the proton? Problem 4 A wire along the x-axis carries current I in the negative x-direction through the magnetic eld ~ B = B x l k x l elsewhere (1) (a) Draw a graph of B versus x over the interval-3 2 l < x < 3 2 l . (b) Find an expression for the net force ~ F net on the wire. (c) Find an expression for the net torque on the wire about the point x = 0. Problem 5 A nonuniform magnetic eld exerts a net force on a current loop of radius R . The gure below shows a magnetic eld that is diverging from the end of a bar magnet. The magnetic eld at the position of the current loop makes an angle with respect to the vertical. (a) Find an expression for the net magnetic force on the current. (b) Calculate the force if R = 2 . 0 cm, I = 0 . 50 A, B = 200 mT, and = 20 . Figure 3: g. for Problem 5 1 - 2...
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## This note was uploaded on 02/03/2010 for the course PHYS PHYS 153 taught by Professor Billmcutcheon during the Spring '09 term at The University of British Columbia.

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Hwk7A - . 10-13 i T. What are the speed and direction of...

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