Question

Please show all work (every bit) and all units. Also please wrote clearly.

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4. (30 pts) a) (10 pts) A 12 turn coil encloses an elliptical area having a major axis of 50 cm and a minor axis of 30 cm. The coil lies in the plane of the page. The wire making up the coil carries a current of 6 A in a clockwise direction. If the coil is in a uniform magnetic field of 2 x 10-T directed parallel to the page and to the left, what is the magnitude of the torque exerted on the coil? b) (20 pts) Determine and indicate the direction of the acceleration resulting from the magnetic force acting on the particles moving through magnetic fields as shown in each figure below. B at 45° В up 00 -1 T! Bin B left Gil) X X X IX X X X X X X X X X X

Answer 1

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a Torque MXB = M B sino =NIAB sino Torque =(12x 6x7X 0«5x0.3 x 2x10-4) Augwey 67.858 x 10-4) N-m Area of ellipse =A= Tab N=12 (No. of twins) a = major anis =50cm=0.5m G=minoy anis =30cm=0.3m I=6 A a Torque o=900 900 B. acceleration derection is given ly = q CŨxê) ci â - (ŷ & Cê + ]]] â = Å Cout of the page) K Tiro q=-ve ( ) â = + (-ê xĝ) =-Å â= -Å into the page) Bup 11 1 û =- Bein) g=tue X it â - -(EQ+9) *CÂ)] Livi) â= - [ - ] + (-2) in the plane of paper with 450 with the tue kans x x 1 Â =-K X x x х X * o=-êt q=-up Eiv 3 left - + [î xt-1) а so particle will not accelerate as magnetic force is zero 8 =- ů =- q=tue