Electromagnetic Induction

A uniform but time varying magnetic field is present in a circular region of radius ' $R$ '. The magnetic field is perpendicular and into the plane of loop and the magnitude of field is increasing at a constant rate $\alpha$. There is a str...

A square of side $L$ lies in the $x-y$ plane，where the magnetic field is given by $B=B_0(2 \hat{i}+3 \hat{j}+4 \hat{k})$ where $B_0$ is constant．The magnetic flux passing through the square is $L$

Two straight conducting plates form an angle \(\theta\) where their ends are joined. A conducting bar in contact with the plates and forming an isosceles triangle with them starts at the vertex at time \(t=0\) and moves with constant veloci...

A charged particle of charge q and mass m is placed at a distance 2R from the centre of a vertical cylindrical region of radius R where magnetic field varies as \(\vec{B}=\left(4 t^{2}-2 t+6\right) \hat{k}\), where t is time. Then which of ...

A circular coil is placed near a current carrying conductor, both lying on the plane of the paper. The current is flowing through the conductor in such a way that the induced current in the loop is clockwise as shown in the figure. The cur...

A charged particle in a uniform magnetic field \(\vec{B}=B_{0} \hat{k}\) starts moving from the origin with velocity \(v=3 \hat{\mathrm{i}}+4 \hat{\mathrm{k}} ~\mathrm{m} / \mathrm{s}\). The trajectory of the particle and the time \(t\) at ...

The electric field of a plane electromagnetic wave of wave number k and angular frequency \(\omega\) is given \(\vec{E}=E_{0}(\hat{i}+\hat{j}) \sin (k z-\omega t)\). Which of the following gives the direction of the associated magnetic fiel...

In a closed circuit there is only a coil of inductance L and resistance 100 \(\Omega\). The coil is situated in a uniform magnetic field. All on a sudden, the magnetic flux linked with the circuit changes by 5 Weber. What amount of charge w...

A particle of mass m and charge q moving with velocity v enters region-b from region-a along the normal to the boundary as shown in the figure. Region-b has a uniform magnetic field B perpendicular to the plane of the paper. Also, region-b ...

For a plane electromagnetic wave, the electric field is given by\(\overrightarrow{E} = 90\sin (0.5 \times {10^3}x + 1.5 \times {10^{11}}t)\widehat k\) V/m. The corresponding magnetic field B will be

A conducting circular loop of resistance 20\(\Omega\)
and cross-sectional area 20 \(\times\) 10-2 m2 is placed perpendicular to a spatially uniform magnetic field B, which varies with time t as B = 2sin(50\(\pi\)t) T. Find the net char...

Consider a conducting wire of length L bent in the form of a circle of radius R and another conductor of length a (a < < R) is bent in the form of a square. The two loops are then placed in same plane such that the square loop is exactly at...

As shown in the figure, a rectangular loop of conducting wire is moving away with a constant velocity v in a perpendicular direction from a very long straight conductor carrying a steady current I. When the breadth of the rectangular loop i...

Two coils of self-inductances 6 mH and 8 mH are connected in series and are adjusted for highest coefficient of coupling. Equivalent self-inductance L for the assembly is approximately

Lenz's law of electromagnetic induction corresponds to the