A hollow cylinder having infinite length and carrying uniform current

1.	A hollow cylinder having infinite length and carrying uniform current per unit length lambda along the circumference. Magnetic field inside the cylinder is:
Answer» Magnetic field inside the cylinder is λμ• Explanation: As there is given that current is flowing along its circumference. So we already know that inside the cylinder the magnetic field will be μ•/4π (2I'/r'), where I' is the current flowing and r' is the distance from the centre. λ is the current per unit length so, λ = I/2πr ⇒ I = λ2πr Current inside the cylinder at r' distance from the centre is I' = λ2πr' Now we put the value in the equation. B_(inside) = μ•/4π (2I'/r') = μ•/4π (2 x λ x 2πr'/r') = λμ•

A hollow cylinder having infinite length and carrying uniform current per unit length lambda along the circumference. Magnetic field inside the cylinder is:

Answer»

Magnetic field inside the cylinder is λμ•

Explanation:

As there is given that current is flowing along its circumference.

So we already know that inside the cylinder the magnetic field will be μ•/4π (2I'/r'), where I' is the current flowing and r' is the distance from the centre.

λ is the current per unit length so, λ = I/2πr ⇒ I = λ2πr

Current inside the cylinder at r' distance from the centre is I' = λ2πr'

Now we put the value in the equation.
B_(inside) = μ•/4π (2I'/r') = μ•/4π (2 x λ x 2πr'/r') = λμ•

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