Question

A circular loop of wire lying in the plane of the page has radius 15cm and carries a current of 0.1A going in the clockwise direction. The loop is in a region of space with a magnetic field of 0.1T magnetic field pointing 30 degrees towards the right from into the page. Which of the following is correct? 6. a. There is a torque of 3.5 x 104N-m and a force of 9.4 x 10-3N on the loop b. There is a torque of 6.0 x 104N-m and a force of 9.4 x 10'N on the loop. c. There is a torque of 3.5 x 104N-m and no net force on the loop. d. There is a torque of 6.0 x 104 N-m and no net force on the loop. Top View 0.1A 0.1T 300 0.1T 0.1A

Answer 1

Torque is given by ã = mx B where, Ñ - NIĀ - magnetic moment B = Magnetic field. T: MB sin e - NIA B Sino Not ; No. of twens in wine I= current flowing A = Area of loop = TR² 30° Direction of ñ is given by Right hand thumb sule... by direction of current- I=-0.1 Anne

Let, I = -0.1A iie., direction is seversed indiagsan M= -1% 0.1% 71 (0.15)2 M=-7.07x10-3 C = -7.07% 101*0.1xsin 30 8 = -3.53 x 10"N-m o figras T = 3.5X104 NM in opposite direction as drawn in fig There won't be any net for as a couple is formed Hence, option C 18 corsseet

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