Electromagnetic...

An electric bulb has a rated power of $$50 W$$ at $$100 V$$. If it is used on an AC source $$200 V$$, $$50 Hz$$, a choke has to be used in series with it. This choke should have an inductance of

A uniform magnetic field exists in region given by $$\vec{B}=3\hat{i}+4\hat{j}+5\hat{k}$$. A rod of length $$5$$m is placed along y-axis is moved along x-axis with constant speed $$1$$m$$/$$sec. Then induced e.m.f. in the rod will be.

A rod of length $$b$$ moves with a constant velocity $$v$$ in the magnetic field of a straight long conductor that carries a current $$i$$ as shown in the figure. The emf induced in the rod is

A coil of area 500 $$cm^2$$ having 1000 turns is placed such that the plane of the coil is perpendicular to a magnetic field of magnitude $$4 \times 10^{-5}$$ $$weber/m^2$$. If it is rotated by 180 about an axis passing through one of its diameter in 0.1 sec, find the average induced emf.

Two coils have mutual inductance $$0.005 H$$. The current changes in the form coil according to equation, $$ I = I_0 \sin \omega t . $$ Where $$ I_0 = 10 A. $$ and $$ \omega = 100 \pi $$ rads/s. The maximum value of emf in the second coil is :

A coil of area $$500 cm^2$$ having 1000 turns is placed such that the plane of the coil is perpendicular to a magnetic field of magnitude $$4 10^{-5} weber/m^2$$. If it is rotated by $$180$$ degree about an axis passing through one of its diameter in $$0.1$$ sec, find the average induced emf.

Radii of two conducting circular loops are $$b$$ and $$a$$ respectively, where $$b > > a$$. Centres of both loops coincide but planes of both loops are perpendicular to each other. The value of mutual inductance for these loops.

A generator with a circular coil of $$100$$ turns of area $$2\times { 10 }^{ -2 }{ m }^{ 2 }$$ is immersed in a $$0.01T$$ magnetic field and rotated at a frequency of $$50Hz$$. The maximum emf which is produced during a cycle is

A wire as a parabola $$y = 4x^2$$ is located in a uniform magnetic field of inductance B perpendicular to the XY plane. At t=0 a connection starts translation wise from the parabola apex with constant acceleration $$\alpha$$. The induced emf in the loop, thus formed, as a function of y is:

A superconducting rigid planar loop of area $$A$$ and self-inductance $$L$$ carrying a current is held motionless in a region of free spaces. Now a uniform magnetic field of induction $$B$$-pointing everywhere parallel to the magnetic moment $$m$$ of the loop is switched on. Current in the loop after the magnetic field is switched on us given by