Question

Find the dimensions of

(a) electric field E.

(b) magnetic field B and

(c) magnetic permeability

Answer 1

(a) Electric field is defined as electric force per unit charge.

i.e., E=Fq

Also, F=MLT-2 and q=AT

So, dimension of electric field, [E]=MLT-3A-1

(b) Magnetic field,

B=F/qv

Here, F=MLT-2,

q=AT and

v=LT-1

So, dimension of magnetic field, [B] =MLT-2/AT LT-1=ML0T-2A-1

(c) Magnetic permeability,

μ0=B×2πr/I

Here, B=MT-2A-1 and r=L

So, dimension of magnetic permeability, [μ0]=MT-2A-1 ×L/A=MLT-2A-2