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The strength of magnetic field inside a ...

The strength of magnetic field inside a long current-carrying straight solenoid is:

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Consider a rectangular path abcd of length l in a solenoid as shown in the figure.

From Ampera.s circuital law,
`ointvecB.dvecl = mu_0 (nl)I`
`underset(a) overset(b)int vecB.dvecl+ underset(b) overset(c)intvecB.dvecl+underset(d)overset(a)intvecB.dvecl=mu_0nlI`
`or Bunderset(a)overset(b)intdl + 0 + 0 + 0 = mu_0nl I`
`or Bl = mu_0 nlI`
`orB = mu_0 nI`.
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