Question

A Tesla is equivalent to a
(A) Newton per coulomb
(B) Newton per ampere -meter
(C) Ampere per newton
(D) Newton per ampere-second

Answer 1

Hint: Tesla is the derived unit of magnetic flux density, which represents the strength of the magnetic field.

Complete step by step solution:
One tesla represents one weber per square meter.
The symbol of tesla is T.

According to Lorentz force law, a particle carrying a charge of one coulomb and moving perpendicularly through a magnetic field of one tesla, at a speed of one metre per second, experiences a force with magnitude one newton.

Hence, one tesla is equivalent to newton per ampere metre.

So, the correct option is (B) Newton per ampere –metre.

Note: As SI derived unit, the tesla can be expressed as
$$T={\displaystyle \frac{V.s}{m^2}}={\displaystyle \frac{N}{A.m}}={\displaystyle \frac{J}{Am}}={\displaystyle \frac{H.A}{m^2}}=$$$${\displaystyle \frac{Wb}{m^2}}={\displaystyle \frac{kg}{C.s}}={\displaystyle \frac{N.s}{C.m}}={\displaystyle \frac{kg}{A.s^2}}$$
Where N= newton, m=metre, V=volt, A=ampere, J=joule, Wb=weber, kg=kilogram, H =henry, s= second, C=coulomb.