The length of a wire required to make a solenoid of length l and self - induction L is

Options

A. `f_(a)=f_(b)" and "l_(a)nel_(b)`
B. `f_(a)=f_(c)" and "l_(a)=l_(c)`
C. `f_(a)=f_(b)" and "l_(a)=l_(b)`
D. `f_(b)=f_(c)" and "l_(b)=l_(c)`

Answer

A

Explanation

Length of wire in solenoid = `2pirxxN`
`2 pir sqrt((Li)/(mu_0pir^2)){{:(therefore L= (mu_0N^2A)/(l)),(A=pir^2):}}=sqrt((4piLl)/(mu_0))`