Electromagnetic Induction NAT Level - 2 - IIT JAM MCQ

In a L-R  growth circuit, inductance and resistance used are 1H and 20Ω respectively. If at  t = 50 millisecond, current in the circuit is 3.165A then applied direct current emf (in volt) is :

A long coaxial cable consists of two thin walled conducting cylinders with inner radius 2cm and outer radius 8cm. The inner cylinder carries a steady current 1A, and the outer cylinder provides the return path for that current. The current produces a magnetic field between the two cylinders. Find the energy stored in the magnetic field for length 1m of the cable. Express answer in nJ (use ln2 = 0.7)

A uniform magnetic field exists in region given by   A rod of length 5m is placed along y-axis is moved along x-axis with constant speed  1m/sec. Then induced emf (in volts) in the rod will be :

Figure shows a square loop of side 1m and resistance 1Ω. The magnetic field on left side of line PQ has a magnitude  B = 1.0T. The work done (in Joule)  in pulling the loop out of the field uniformly in 1s  is

The magnetic field of a cylindrical magnet that has a pole-face radius 2.8cm  can be varied sinusoidally between minimum value 16.8T  and maximum value 17.2T  at a frequency of Cross section of the magnetic field created by the magnet is shown. At a radial distance of 2cm  from the axis find the amplitude of the electric field (in  mN/C) induced by the magnetic field variation.

In the figure, a long thin wire carrying a varying current lies at a distance y above one edge of a rectangular wire loop of length L and width W  lying in the x-z plane. If emf is induced in the loop. Find the value of (A+B+C)

In the figure shown ABCDEFGH  is a square conducting frame of side 2m and  resistance 1Ω/m·A uniform magnetic field B  is applied perpendicular to the plane and pointing inwards. It increases with time at a constant rate of  10T/s. Find the rate at which heat in watt is produced in the circuit  AB = BC = CD = BH.