Question

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3. A 3-meter long straight wire carries a current of 30 A in a uniform magnetic fields of 0.5 T whose direction is at an angle of 45 degrees from the direction of the current. Find the magnitude of the magnetic force acting on the wire. (5 marks total) 4. Two circular wire loops are located inside the same plane, and they have a common centre. The outer loop carries a current of 20 A with a radius of 20 cm, in the clockwise direction. To create a net magnetic field of zero at their centre explain the direction and magnitude of the inner loops with a radius of 10cm. (5 marks total)

Answer 1

l= 3m P- 30A B 0.57 45° Now, F NBIl sina For N21 F = BIl sina F = 0.5% 30% 3x Sin 45° F 31.8198 N Magnetic field at Center (c) becomes Zero only when they are equal in Magnitude and opposite in direction. clockwise ginen, I=200 'R = 20cm. Ra=loom. Antt Clockcorte direction) NOW B, = Moly QR1 a and Bq = Molz aRa Now, (Magnitudes must be equal' to get Net B es Zeso ari I lo fa 22 12 10 20 Anticlockwore direction