Answer :

A. Electric field is defined as the electrical force per unit electrical


charge.



Dimensions of F = [MLT-2]


Dimensions of q = [AT]


Dimensions of E = .


B. Magnetic field is defined as the space around which the effect of a magnetic force can be felt. For a charge q, moving with velocity v in a magnetic field of strength B, the magnetic force F is given by



For simplicity let us take to be simply qvB.


So, B will become


Dimensions of F = [MLT-2]


Dimensions of q = [AT]


Dimensions of v = [LT-1]


Dimensions of B = .


C. Magnetic permeability is defined as the amount of magnetization a body can acquire. For a wire carrying current I, the magnetic field B produced at a radial distance a is given by the relation



Here μ0 is the magnetic permeability of free space.


From the above relation we can write


Dimensions of a = [L]


Dimensions of B =


Dimensions of I = [A]


Dimensions of μ0 = = [MLT-2A-2]


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