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Find the dimensions of a. electric fiel...

Find the dimensions of
a. electric field E,
magnetic field B and
magnetic permeability `mu_0`
. The relavant equations are
`F=qE, FqvB, and B=(mu_0I)/(2pi alpha),`
where F is force q is charge, `nu` is speed I is current, and `alpha` is distance.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
(a) Electric field
`E = f/q = ([MLT^-2])/([IT]) = [MLT^-3 I^-1]`
(b) Magnetic field
`B=F/qv` `=([MLT^-2])/([IT][LT^-1]) = [MT^-2 I^-1]`
(c) megnetic permeability
`mu_0 = (Bxx2pi a)/(1)` = ([MT^-2 I^-1] xx[L])/([I]) = [MLT^-2 i^-2]`
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