Dependence on Magnetic Field

Q. An infinitely long cylinder is kept parallel to a uniform magnetic field B directed along positive z axis. The direction of induced current as seen from the z axis will be

1. Clockwise of the +ve z axis
2. Anticlockwise of the +ve z axis
3. Zero
4. Along the magnetic field

Q. The magnetic field in the cylindrical region shown in figure increases at a constant rate of 20 mT/sec. Each side of the square loop ABCD has a length of 1 cm and resistance of 16 ohm. Find the current in the wire AB if the switch S is closed

1. $1.25\times {10}^{-7}$A , (anti-clockwise)
2. $1.25\times {10}^{-7}$A , (clockwise)
3. $2.5\times {10}^{-7}$A , (anti clockwise)
4. $2.5\times {10}^{-7}$A , (clockwise)

Q. Find the current in the section PQ. A time varying field of 5t is applied. The wires have a resistance of $2\Omega /m$.

1. $\frac{5}{23}A$
2. $\frac{5}{92}A$
3. $\frac{5}{46}A$
4. $\frac{5}{12}A$

Q. Find the $ϵ$ mf induced in the square frame.

1. $\frac{{\mu }_{0}a}{2\pi }ln\left(\frac{b+a}{b}\right)(2t+3)$
2. $\frac{{\mu }_{0}a}{2\pi }ln\left(\frac{b+a}{b}\right)(t^2+3t)$
3. $Zero$
4. $\frac{{\mu }_{0}a}{\pi }ln\left(\frac{b+a}{b}\right)(2t+3)$

Q. Find the current in the section PQ. A time varying field of 5t is applied. The wires have a resistance of $2\Omega /m$.

1. $\frac{5}{23}A$
2. $\frac{5}{92}A$
3. $\frac{5}{46}A$
4. $\frac{5}{12}A$