Electromagnetic...

Find the inductance of a unit length of two parallel wires, each of radius a, whose centers are at a distance d apart and carry equal currents in opposite directions. Neglect the flux within the wire:

A rod AB moves with a uniform velocity $$v$$ in a uniform magnetic field as shown in figure.

A closed loop of cross-sectional area $$10^{-2}m^2$$ which has inductance $$L=10 mH$$ and negligible resistance is placed in a time-varying magnetic field. Figure shows the variation of B with time for the interval of 4 s. The field is perpendicular to the plane of the loop (given at $$t=0, B=0, I=0)$$. The value of the maximum current induced in the loop is :

A solenoid has $$2000$$ turns wound over a length of $$0.3 m$$. Its cross-sectional area is equal to $$1.2\times 10^{-3} m^2$$. Around its central cross-section, a coil of 300 turns is wound. If an initial current of $$2 A$$ flowing in the solenoid is reversed in $$ 0.25 s$$, the emf induced in the coil is

The length of a thin wire require to manufacture a solenoid of length $$l=100$$ cm and inductance $$L=1 mH$$, if the solenoid's cross-sectional diameter is considerably less than its length is:

In Fig, there is a conducting loop ABCDEF of resistance $$\lambda$$ per unit length placed near a long straight current-carrying wire. The dimensions are shown in the figure. The lone wire lies in the plane of the loop. The current in the long wire varies as $$I=I_0(t)$$. The mutual inductance of the pair is

The current i in a coil varies with time as shown in the figure. The variation of induced emf with time would be :

A long solenoid having $$200$$ turns per cm carries a current of $$1.5 amp.$$ At the centre of it is placed a coil of $$100$$ turns of cross-sectional are $$3.14\times 10^{-4}m^2$$ having its axis parallel to the field produced by the solenoid. When the direction of current in the solenoid is reversed within $$0.05 sec,$$ the induced e.m.f. in the coil is

A wire shaped as a circle of radius R rotates about the axis OO' with an angular velocity $$\omega$$ as shown in figure. Resistance of the circuit is $$R$$. Find the mean thermal power generated in the loop during a period of a rotation.

A rectangular loop with a slide wire of length $$l$$ is kept in a uniform magnetic field as shown in figure (a). The resistance of slider is $$R$$. Neglecting self inductance of the loop find the current in the connector during its motion with a velocity $$v$$.