Electromagnetic...

Which of the following units denotes the dimensions $${M}{L}^{2}/{Q}^{2}$$, where $${Q}$$ denotes the electric charge?

Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed $$'v'$$ in a uniform magnetic field B going into the plane of the paper (See figure). If charge densities $$\sigma_1$$ and $$\sigma_2$$ are induced on the left and right surfaces, respectively, of the sheet then (ignore fringe effects) : 

A planar loops of wire rotates in a uniform magnetic field. Initially, at $$t = 0$$, the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of $$10 s$$ about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at :

When the current changes from $$+2 A$$ to $$- 2 A$$ in $$0.05$$ second, an e.m.f. of $$8 V$$ is induced in a coil. The coefficient of self-induction of the coil is :

A boat is moving due east in a region where the earth's magnetic field is $$5.0 \times 10^{-5}{N}{A}^{-1}{m}^{-1}$$ due north and horizontal. The boat carries a vertical aerial $$2$$ $$m$$ long. If the speed of the boat is $$1.50$$ $${m}{s}^{-1}$$, the magnitude of the induced emf in the wire of aerial is:

When current is coil changes from 5 A to 2 A in 0.1 s, an average of 50 V is produced. The self-inductance of the coil is.

At time $$t = 0$$ magnetic field of $$1000$$ Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If the magnetic field reduces linearly to $$500$$ Gauss, in nest $$5s$$, then induced EMF in the loop is:

A long solenoid has $$1000\ $$turns. When a current of $$4\ A$$ flows through it, the magnetic flux linked with each turn of the solenoid is $$4\times 10^{-3}$$Wb. The self-inductance of the solenoid is:

A thin semicircular conducting the ring $$(PQR)$$ of radius $$'r'$$ is falling with its plane vertical in a horizontal magnetic field $$B$$, as shown in figure. The potential difference developed across the ring when its speed is $$v$$, is

A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is