Solving for Length of Solenoid Wire Using Ampere's Circuital Law

[abrowaqas]

Homework Statement

A solenoid of 1.33cm long and 2.6cm in diameter carries a current of 17.8A . the magnetic field inside the solenoid is 22.4 T . find the length of the wire forming the solenoid.

Homework Equations

B= Uo N i / L .

The Attempt at a Solution

the problem is i don't find the value of N? as it cannot be 1 for solenoid. so how do i solve this problem.

 

[kuruman]

You can find the ratio N/L from the field and the current and since you know that L = 1.33 cm, you can find N. Does this help?