What is the mutual inductance of coil and solenid if a has a radius 4 cm and coil of 700 turns is would on the middle part of the solenoid ?

Options

A. 44.17 mH
B. 48.94 mH
C. 34.34 mH
D. 36.73 mH

Answer

A

Explanation

Flux linked with coil
`phi_(2)=N_(2)BIA=(mu_(0)N_(1)N_(2)pir^(2)l)/(l)` also `phi=MI`
Comparing the equations, `M=(mu_(0)N_(1)N_(2)pir^(2)l)/(l)`
`M=(4xx3.14xx10^(-7)xx5000xx700xx3.14xx(4xx10^(-2))^(2))/(0.5)`
`M=44.17 mH`