A current `I=3.36 (1+2t)xx 10^-2 A` increases at a steady rate in a long straight wire. A small circular loop of radius `10^-3 m` has its plane parallel to the wire and is at a placed at a distance of 1 m from the wire. The resistance of the loop is `8.4 xx 10^-4 Omega`. find the megnitude and the direction of the induced current in the loop.

A current of 10 A is flowing in a long straight wire situated near a rectangular circuit whose two sides oflength 0.2m are parallel to the wire. One of them is at a distance of0.05m and the other at a distance of 0. IOm from the wire. The wire is in the plane of the rectangle. Find the magnetic flux through the rectangular circuit. If the current decays uniformly to zero in 0.02s, fmd the EMF induced in the circuit and indicate the direction in which the induced current flows.

A circular brass loop of radius a and resistance R is placed with its plane perpendicular to the magnetic field which varies with time as B=B_0 sin omegat . Obtain an expression for the induced current in the loop.

A circular loop of area 0.01 m^(2) carrying a current of 10 A, is held perpendicular to a magnetic field of intensity 0.1 T. The torque acting on the loop is

Calculate the torque on a 50 turn circular coil of radius 10 cm, when placed with its plane at 60^@ with a magnetic field of 3.1 xx 10^-5 T . The current through the coil is 2 A.

A long straight wire AB carries a current of 4A. A proton P travels at 4x10^6ms^-1 parallel to the wire, 0.2m from it and in a direction opposite to the current as shown in figure. Calculate the force which the magnetic field of current exerts on the proton. Also specify the direction of the force.

The magnetic field B due to a current carrying circular loop of radius 12cm at its centre is 0.5xx10^-4T . Find the magnetic field due to this loop at a point on the axis at a distance of 5.0cm from the centre.

Two long straight parallel wieres are 2m apart, perpendicular to the plane of the paper. The wire A carries a current of 9.6 A, directed into the plane of the paper. The wire B carries a current such that the magnetic field of induction at the point P, at a distance of 10/11 m from the wire B, is zero. find the magnitude and directiion of the current in B.

A current of 10A is flowing east to west in a long wire kept in the east-west direction. Find magnetic field in a horizontal plane at a distance of 20cm south from the wire