Question

A current `I ` flows radius along a lengthy thin-walled tube of radisu `R` with longiitual slit of width `h`. Find the induction of the magnietic field inside the tube under the condition `h lt lt R`

Answer 1

Current flowing in wire of width `h`
`i_(0)=i/(2piR) h`
Magnetic field due to this wire at centre
`B=(mu_(0)i_(0))/(2piR)=(mu_(0)ih)/(4pi^(2)R^(2))`
Net magnetic field by other wires will be zero.
`B_(O)=(mu_(0)ih)/(4pi^(2)R^(2))`