Two concentric circular loops one of radius R and other of radius 2R lie in the xy plane with the origin as their common center . Smaller loop carries current I1 in anticlockwise direction and larger loop carries I2 in clockwise direction with `I_2>2 I_1, `vec(B)(x,y)` denotes magnetic feld at a point (x,y) in xy-plane. Which of the following statements are correct?

A circular loop of radius R , carrying I , lies in x- y plane with its origin . The total magnetic flux through x-y plane is

A current carrying circular loop of radius R is placed in the x-y plane with centre at the origin. Half of the loop with xgt0 is now bent so that it now lies in the y-z plane.

A current carrying circular loop of radius R is placed in a uniform magnetic field B_(0) Tesla in x-y plane as shown in figure. The loop carries a current i = 1A in the direction shown. Find the torqure acting on the loop

A current - carrying circular loop of radius R is placed in the XY- plane with centre at the origin. Half of the loop with xgt0 is now bent so that is now lies in the XY- plane

Two infinitely long straight wires lie in the xy-plane along the lines x =pm R . The wire located at x =+R carries a constant current I_(1) and the wire located at x = -R carries a constant current I_(2) . A circular loop of radius R is suspended with its centre at (0,0, sqrt(3)R) and in a plane parallel to the xy-plane. This loop carries a constant current ? in the clockwise direction as seen from above the loop. The current in the wire is taken to be positive if it is in the +hat J direction. Which of the following statements regarding the magnetic field vec B is (are) true?

Two coplanar concentric circular coils of radii r and 2r, have the same number of turns n. The smaller coil carries a clockwise current i, while the larger coil carries an anticlockwise current 2i. The magnetic field induction at the centre is