Question 1

What is the SI unit of magnetic field?

Accepted Answer

The SI unit of magnetic field is Tesla (T). Another common unit is Gauss (G), where 1 Tesla = $10^4$ Gauss. It can also be expressed in Weber per meter squared ($Wb/m^2$).

Question 2

The magnetic force on a moving charge $q$ moving with velocity $v$ in a magnetic field $B$ is given by:

Accepted Answer

The magnetic force vector on a moving charge is given by the Lorentz magnetic force formula: $\vec{F} = q(\vec{v} 	imes \vec{B})$, which in magnitude is $F = qvB\sin	heta$.

Question 3

Bio-Savart law gives the expression for the magnetic field due to a:

Accepted Answer

Bio-Savart law is used to calculate the magnetic field produced by a current-element ($I d\vec{l}$) at a given point in space.

Question 4

What is the magnetic field at the center of a circular current-carrying coil of radius $R$ and current $I$?

Accepted Answer

According to Bio-Savart law, the magnetic field at the center of a circular coil of radius $R$ carrying current $I$ with a single turn is given by $B = \frac{\mu0 I}{2R}$.

Question 5

Ampere's Circuital Law relates the line integral of magnetic field around a closed loop to:

Accepted Answer

Ampere's Circuital Law states that the line integral of magnetic field $\vec{B}$ around any closed path is equal to $\mu0$ times the total current ($I{enclosed}$) enclosed by the path: $\oint \vec{B} \cdot d\vec{l} = \mu0 I{enclosed}$.

Moving Charges and Magnetism