Three identical coils A B and C are placed coaxially with

The magnetic induction in air at a distance d from an isolated point pole of strength m unit will be m a b d c m d md d 3 m d

17 You are given many resistances capac inductors These are connected to a variable DC voltage source the first two circuits or an AC voltage source of 50 Hz frequency the next three circuits in different ways as shown in Column II When a current I steady state for DC or rms for AC flows through the circuit the corresponding voltage V and V indicated in circuits are related as shown in Column I Column II P V V HH 3 F Column I A 0 V is proportional to B 1 0 V V C V QV V D 1 0 V is proportional to Codes a A p B q C r D st 9 V V vooooo www 6mH 292 oooooo 6mH S r V V oooooo 6mH t V V 000000 6mH V mos 1kQ 292 V HH 3 F V HH 3 F

is A zero current loop of radius a is placed in a radial field B as shown The net force acting on the loop B 2 Balcos0 1 a 0 C 2 al sine ds D None

ar A solid current carrying conductor of radius R is having current per unit area J as J constant and r is distance from axis Find magnetic field at distance x from axis of wire Assume x R where a is a R 3 Mo ax 3R Mo ax 2 ax 2R 4 Zero

1 Consider a solid sphere of radius r and mass m which has a charge q distributed uniformly over its volume The sphere is rotated about a diameter with an angular speed o Show that the magnetic moment u and the angular momentum 1 of the sphere are related as q 2m 1

30 unite ters a magnetic field B as shown ng with in figure 34 E13 a Find the radius of the circular arc it describes in the magnetic field b Find the angle subtended by the arc at the centre c How long does the particle stay inside the magnetic field d Solve the three parts of the above problem if the charge q on the particle is negative back 39 a mv qB X X X Figure 34 E13 particle of mass m and charge q is projected into a region having a perpendicular magnetic field B Find the angle of deviation figure 34 E14 of the particle as it comes out of the magnetic field if the width d of the region is very slightly smaller than b X mu 2qB d X XB X X X c 71 2mv qB 43

52 An electron is emitted with negligible speed from the negative plate of a parallel plate capacitor charged to a potential difference V The separation between the plates is d and a magnetic field B exists in the space as shown in figure 34 E20 Show that the electron will fail to strike the upper plate if T B mv E ye dm T d d 2m V 2 eBo B 25m qB 93 d c

Two straight long conductors AOB and COD are perpendicular to each other and carry currents and 12 The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ABCD is 11 12 A C HO 2 a HO 2 1 2 B G D HO 2 11 12 HO 1112 2 1 1

25 Figure 34 E10 shows a circular wire loop of radius a carrying a current i placed in a perpendicular magnetic field B a Consider a small part dl of the wire Find the force on this part of the wire exerted by the magnetic field b Find the force of compression in the wire X X X X Bx X X a X 1 X X X Figure 34 E10 X X

AB lies across the frictionless parallel conducting rails magnitude at t 0 is Bo The rod AB is in a uniform magnetic field B whose given velocity v right ward and it continues to move with same velocity through out the motion The acceleration C Bo B l Bo 8 due to gravity is along negative z axis i e g 10m s k mass of rod following graphs will be the best representation of magnitude of magnetic field versus time A B B D B Bo 8 Bo m Which of the