Two identical loops P and Q each of radius `5cm` are lying in perpendicular planes such that they have a common centre as shown in the figure. Find the magnitude and direction of the net field at the common centre of the two coils, if they carry currents equal to `3A` and `4A` respectively.

Two identical circular wires P and Q each of radius R and carrying current 'I' are kept in perpendicular planes such that they have a common centre as shown in the figure. Find the magnitude and direction of the net magnetic field at the common centre of the two coils.

The magnitude of the magnetic field at the centre of the tightly wound 150 turn coil of radius 12 cm carrying a current of 2 A is

A conductor carrying current I is of the type as shown in figure. Find the magnetic field induction at the common centre O of all the three arcs.

Answer the following: (a) State Biot - Savart's law and express this law in the vector form. (b) Two identical circular coils, P and Q each of radius R , carrying currents 1A and sqrt(3)A respectively, are placed concentrically and perpendicular to each other lying in the XY and YZ planes. Find the magnitude and direction of the net magnetic field at the centre of the coils.

Two circular coils of radii 5.0 cm and 10 cm carry equal currents of 2.0 A. The coils have 50 and 100 turns respectively and are placed in such a way that their planes as well as the centres coincide. Find the magnitude of the magnetic field B at the common centre of the coils if the currents in the coils are (a) in the same sense (b) in the opposite sense.

A tightly wound 100 turn coil of radius 10cm is carrying a current of 1A . What is the magnitude of the magnetic field at the centre of the coil?

Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field by both coils, if the same current is flown

Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field by both coils, if the same current is flown

Two identical circular loops, P and Q each of radius r and carrying currents I and 2I respectively are lying in parallel planes such that they have a common axis. Their centres are distance 2r apart. The direction of current in both the loops is clockwise as seen from O which is equidistant from both the loops. Find the magnitude of the net magnetic field at point O.

Two similar circular loops of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and Isqrt(3) respectively. The magnetic field at the centre of the coil is