A square coil AECD of side 0.1m is placed in a magnetic field `B=2t^(2)`. Here, t is in seconds and B is Tesla. The magnetic field is into the paper. At time t=2s, induced field in DC in

A square-shaped coil of side 10 cm is placed in a region of magnetic field 0.2 T such that it makes an angle of 30^(@) with the magnetic field. Calculate the magnetic flux linked with the coil.

A square loop of side 20 cm and resistance 0.30 Omega is placed in a magnetic field of 0.4 T. The magnetic field is at an angle of 45^(@) to the plane of loop. If the magnetic field is reduced to zero in 0.5 s, then find the induced emf and induced current in the loop in this time interval.

A square loop of side 1 m is placed in a perpendicular magnetic field. Half of the area of the loop lies inside the magnetic field . A battery of emf 10 V and negligible intermal resistance is connected in the loop . The magnetic field changes with time according to the relation B= (0.01 -2t) tesla . The resultant emf of the circuit is

A circular loop is placed in magnetic field B=2t. Find the direction of induced current produced in the loop.

A conducting wire is bent in the form of a square of side 8 cm and is placed in a region of magnetic field of 0.05 T, such that the plane of coil is perpendicular to the magnetic field. If the side of square starts decreasing at a rate of 10^(-3) m s^(-1) , what will be the emf induced in the coil when the area of coil is reduced to just half?

A circular loop of radius 1m is placed in a varying magnetic field given as B=6t Tesla, where t is time in sec. (a)Find the emf induced in the coil if the plane of the coil is perpendicular to the magnetic field. (b) Find the electric field in the tangential directin, induced due to the changing magnetic field. (c)Find the current in the loop if its resistance is 1Omega//m .

In Fig. there is a frame consisting of two square loops having resistors and inductors as shown. This frame is placed in a uniform but time-varying magnetic field in such a way that one of the loops is placed in crossed magentic field and the other is placed in dot magnetic field. Both magnetic fields are perpendicular to the planes of the loops. If the magnetic field is given by B = (20 + 10 t) Wb m^(-2) in both regions [l = 20 cm, b = 10 cm , and R = 10 Omega , L = 10 H ), The direction in induced current in the bigger loop will be

A coil of resistance 400Omega is placed in a magnetic field. If the magnetic flux phi (wb) linked with the coil varies with time t (sec) as f=50t^(2)+4 , the current in the coil at t=2 sec is

An equilateral triangular loop ADC having some resistance is pulled with a constant velocity v out of a uniform magnetic field directed inot the paper. At time t = 0 , side DC of the loop at is at edge of the magnetic field. The induced current (i) versus time (t) graph will be as