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Calculate the inductance of a unit lengt...

Calculate the inductance of a unit length of a double tape line as shows in Fig if the tapes are separated by a distance `h` which is considerably less than their width `b`.

A

`(mu_(0)h)/(b)`

B

`(mu_(0)h)/(2b)`

C

`(2mu_(0)h)/(b)`

D

`(sqrt(2)mu_(0)h)/(b)`

Text Solution

Verified by Experts

The correct Answer is:
A
`oint vec(B)*dvec(l) = mu_(0)I rArr B2b = mu_(0)I`
`rArr B = (mu_(0)I)/(2b) rarr` due to one tabe
Net field `= 2B`


Magnetic flux passing through this double tabe
`phi = 2BA = 2B (l//h) rArr phi = (mu_(0)I)/(b) lh`
`L = (phi)/(I) = (mu_(0)lh)/(b) rArr (L)/(l) = (mu_(0)h)/(b)`
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