Question

Give the MKS unit of Magnetic Induction
A. ohm
B. Tesla
C. Meter
D. $Mete{r^2}$

Answer 1

Hint:In order to solve this question we have to understand the definition of the MKS unit. MKS is defined as a physical system that uses three fundamental parameters that are Meter, Kilogram and Seconds to define certain units that represent physical phenomena like electric field, magnetic field. There are basically three types of systems F.P.S, C.G.S and M.K.S units. F.P.S stands for Foot Pound second ,C.G.S stands for centimeter gram second.

Complete step by step answer:
In order to find the MKS unit of magnetic induction we need to define first what magnetic induction means. It means that production of electromotive force across a conductor due to changing magnetic field thereby changing magnetic flux and hence inducting emf into the conductor.

Magnetic flux is defined as $\varphi = \int {\vec B.\vec A} $.
An induced emf is defined as $\varepsilon = - \dfrac{{\delta \varphi }}{{\delta t}}$.
So the MKS unit of magnetic induction is defined as a unit of magnetic flux per unit area that is equal to $Weber\,{m^{ - 2}}$.
So the MKS unit is $Tesla = Weber\,{m^{ - 2}}$.

Hence, the correct answer is option B.

Note: It should be remembered that the MKS unit of magnetic field is Weber. Also it should be remembered that direction of induced current is defined by Lenz law which states that direction of induced current is such that it opposes the cause of its generation. Also magnetic flux could be changed in three ways either by changing magnetic field or the area under field or by changing orientation of loop, and hence by varying magnetic flux we can induce emf which produces current. Also it should be remembered that a time varying magnetic field induces a space varying electric field.