Toroid

Q. A thin semicircular conducting ring (PQR) of radius R is falling with its plane vertical in a horizontal magnetic field B as shown in figure the potential difference developed across the ring when its speed is v is

Q. Magnetic field at any point in the open space inside the toroid is zero.

1. False
2. True

Q. state the condition for magnetic potential energy of dipole is maximum and minimum

Q. What is the dimensional formula of magnetic vector potential?

Q. A copper wire having resistance of $0.01\Omega$ is used to wind a $400$ turns toroid of inner radius of $2\text{cm}$ and outer radius of $3\text{cm}$. Find the emf of a battery which when connected across the toroid will create a magnetic field of $1.0\times {10}^{-2}\text{T}$ at a distance equal to the mean radius of the toroid, from the center of the toroid.

Q. The magnitude of induced emf e in a conductor of length L rotating in magnetic field B is given by e=1a(πBL2). Find the dimensional formula of a.

Q. Rank the magnitudes of $\oint \overrightarrow{B}.\overrightarrow{dl}$ for the closed paths $a,b,c$ and $d$ as shown in the figure. A long wire is located at the centre, perpendicular to the plane of the closed paths and carrying a current $1\text{A}$ in outward direction.

Q. Magnetic field outside a toroid is in non-ideal circumstances.

1. zero
2. non zero
3. not defined