Most highlighted questions of moving charge and magnetism for jee mains and advanced

Question 1. Two thin wall pipes of radius a and b are placed coaxially, has current I¹ and I² . If b>a then find magnetic field. 

Question 2. If current density in solid cylinder is varying with from central axis J=kr² at internal and external point of cylinder if radius of cylinder is R. 

Question 3. A cylindrical cavity of diameter a exists inside a cylinder of diameter 2a both cylinder and cavity are infinitely long . A uniform current density J flows along length. If the magnetic field is (N/12)uo aj. Find N. 

Question 4. A toroid of rectangular cross section  a×b has inner radius r. If current passing through toroid is I. Find magnetic flux through sections of toroid. Assume turns per unit length is 'n'. 

Question 5. A proton having a constant velocity passes through a space without any change in its velocity. Electric field and magnetic field are exists there. then region of space may be.  

Question 6. A particle of charge +q and mass m moving under the influence of uniform electric field and magnetic field in x-axis and z-axis respectively follows a trajectory from P to Q. The velocity at P and Q are V(i) and -2(j) then 

Question 6. Figure shows two smooth rails M and N separated by a distance a in a uniform magnetic field which are connected to a current generator which supplies a constant current I. A wire PQ of mass m lies over the rails with slides along rails and falls over ground fair friction coefficient is u. Find the distance over the ground PQ will side before coming to the rest. 

Question 7. A long straight wire current carrying I¹ is placed is the plane of a ribbon carrying current is I² parallel to the wire. The width of ribbon is b the straight conductor is placed at a distance 'a' from nearer edge of ribbon. Find the force of attraction per unit length between the two.  

Question 8. Too long parallel wires carry current of equal magnitude but in opposite direction these wires are suspended from ceiling by four strings of same length l as shown. The Mask per unit length of wire is 'lemda'. Determine the value of theta assuming it to be small.

Question 9. A loop carrying current I lies in xy plane as shown in figure the unit vector k is coming out of plane of the paper the magnetic moment of the loop is.

Question 10. Find the magnetic moment at all sections. 

Question 11. A rectangular loop of sides 10cm and 5cm carrying current I of 12A is placed in different orientations as shown in figure. If there is a uniform magnetic field of 0.3T in the positive z-direction in which orientations the loop would be in 

i) Stable equilibrium (ii) Unstable equilibrium 

A) a & b respectively

B) a & c respectively

C) b & d respectively

D) b & c respectively