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Using the formulae ((vecF)=(vec qv)xx (v...

Using the formulae (`(vecF)=(vec qv)xx (vec B) and (B= (mu_0)i/2pi r )`, show that the SI units of the magnetic field B and the permeability constant (mu_0) may be written as (N mA ^-1) and (NA^-2) respectively.

Text Solution

Verified by Experts

Given `vecF = a vecv xx vecB`
`.That gives `B = (F)/(qu)+(F)/(Itu) =N/A - m`
`. Again, `B = (mu_0i)/(2pir)`
` `mu_0 = B. (2pir)/(i) = (N)/(A-m). (m)/(A)`
` `= N/A^2`
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  • The dimensions of (B^(2)R^(2)C^(2))/(2mu_(0)) (Where B is magnetic filed, and mu_(0) is permeability of free space , R resistance and C is capacitance) is

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