A coil of cross-sectional area $$A$$ having $$n$$ turns is placed in a uniform magnetic field $$B$$. When it is rotated with an angular velocity $$\omega$$, the maximum e.m.f. induced in the coil will be
Given, a coil of N turns an area A, rotated with angular speed $$\omega$$ in a uniform magnetic field B.
The flux linking to the coil, $$\phi = NBA $$ sin$$(\omega t)$$
Therefore,
Induced EMF, $$E=$$d (NBA sin$$(\omega t))/dt)$$
E= NBA $$\omega $$
Emax= NBA $$\omega$$
A square frame of side $$10 cm$$ and a long straight wire carrying current $$1 A$$ are in the plane of the paper. Starting from close to the wire, the frame moves towards the right with a constant speed of $$10 ms^{-1}$$ (see figure). The e.m.f induced in the frame at the time the left arm is at $$x=10cm$$ from the wire is :
A conducting square frame of side $$'a'$$ and a long straight wire carrying current $$I$$ are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity $$'V'$$. The $$emf$$ induced in the frame will be proportional to
A current carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it. The correct statement(s) is(are)
The north pole of a magnet is brought down along the axis of a horizontal circular coil (figure). As a result the flux through the coil changes from $$0.4$$ Weber to $$0.9$$ Weber in an interval of half of a second. Find the average emf induced during this period. Is the induced current clockwise or anticlockwise as you look into the coil from the side of the magnet?
Figure shows a conducting square loop placed parallel to the pole-faces of a ring magnet. The pole-faces have an area of $$1{ cm }^{ 2 }$$ each and the field between the poles is $$0.10T$$. The wires making the loop are all outside the magnetic field. If the magnet is removed in $$1.0s$$, what is the average emf induced in the loop?
Two identical coaxial circular loops carry a current I each circulating in the same direction If the loops approach each other, you will observe that
The mutual inductance of an induction coil is $$5H$$. In the primary coil, the current reduces from $$5A$$ to zero in $$10^{-3}$$s. What is the induced emf in the secondary coil?
A coil having an area $$A_0$$ is placed in a magnetic field which changes from $$B_0$$ to $$4B_0$$ in a time interval $$t$$. The e.m.f. induced in the coil will be
The magnetic flux linked with a coil is given by an equation $$\phi$$ (in webers) $$= 8t^2 + 3t + 5.$$ The induced e.m.f. in the coil at the fourth second will be
The magnetic flux $$\phi$$ linked with a conducting coil depends on time as $$\phi=4t^n +6$$ where n is a positive constant. The induced emf in the coil is e.