Electromagnetic Induction

According to Faraday’s law of electromagnetic induction:

A rectangular loop and a circular loop are moving out of a uniform magnetic field to a field – free region with a constant velocity ‘v’ as shown in the figure. Explain which loop do you expect the induced emf to be constant during the passage out of the field region. The magnetic field is normal to the loops.

A circular coil of one turn of radius $5.0 \mathrm{cm}$ is rotated about a diameter with a constant angular speed of $80$ revolutions per minute. A uniform magnetic field$B=0.010 \mathrm{T}$ exists in a direction perpendicular to the axis of rotation. Find the average of the square of emf induced in the coil over one time period

A rectangular coil of two turns having area$A$rotates in a uniform magnetic field $B$ with angular speed $\omega$ about an axis perpendicular to the field and in plane of the coil. If initially the plane of the coil is perpendicular to the field, then the average induced emf when it has rotated through is $\frac{\pi }{2}$ is

Two identical coaxial coils P and Q carrying equal amount of current in the same direction are brought nearer. The current in
 

A random shaped conducting wire is moved in a uniform magnetic field as shown. Find motional emf induced across its ends at this instant for which its coordinates are mentioned. [$v$ is along x-axis.]

The variation of emf with time is best represented by: [considering clockwise sense to be positive]

A rectangular loop of dimensions $l$ & $w$ and resistance $R$ moves with constant velocity $v$ to the right as shown in the figure. It continues to move with same speed through a region containing a uniform magnetic field $B$ directed into the plane of the paper & extending a distance $3w$. Sketch the flux, induced emf & external force acting on the loop as a function of the distance.

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A circular coil has $100$ turns, radius $3 \mathrm{cm}$ and resistance $4\mathrm{\Omega }$. This coil is co-axial with a solenoid of $200$ turns/cm and diameter $4 \mathrm{cm}$. If the solenoid current is decreased from $2 \mathrm{A}$ to zero in $0.04 \mathrm{s}$, then the current induced in the coil is

Find the mismatch pair

A coil of area $100 {\mathrm{cm}}^2$ having $50$ turns is perpendicular to a magnetic field of intensity $0.02 \mathrm{weber}/{\mathrm{m}}^2$. The resistance of the coil is $2$ ohms. If it is removed in $0.1$ sec from the magnetic filed, the induced charge is

A circular loop of radius $R$ is placed in a uniform magnetic field $B=2\mathrm{sin\pi }t$ Tesla as shown. Which of the following is incorrect?

A wire, bent into the shape of a right angled triangle $PQR$, lies with its side $PQ$ parallel to a current carrying wire, and side $QR$ perpendicular to it. The loop lies in the plane of the wire. EMF induced in the loop when it is moved with constant speed along $PR$ is ${\epsilon }_1$ and it is ${\epsilon }_2$ when moved along $QR$ with the same constant speed. Then,

Out of the following given loops in which loop, the direction of induced current is from $a\to c\to b$

Uniform but time varying magnetic field $\mathrm{B}=\frac{{\mathrm{B}}_0\mathrm{t}}{\mathrm{T}}$ is present in the cylindrical region. There is small section at corners which is made with insulating material and other portion of rectangular loop is conducting. Loop is moving with constant velocity $\mathrm{v}$. At $\mathrm{t}=\mathrm{T}$ situation is as shown in figure . $\mathrm{C}$ is centre of cylindrical region. Choose correct option/s at the given instant.

Current is induced in a coil by electromagnetic induction when: 

Current from A to B in the straight wire is decreasing. The direction of induced current in circular loop will be :

The phenomenon of electromagnetic induction is

The direction of induced current in a circuit is given by

A metallic rod falls under gravity with its ends pointing east and west, then