All Problems

Constant Magnetic Field, Magnetics

Problem 3.241

A very long straight solenoid carries a current I. The cross-sectional area of the solenoid is equal to \(S,\) the number of turns per unit length is equal to \(n\). Find the flux of the vector B through the end plane of the solenoid.

Reveal Answer
\[ \text { 3.241. } \quad \Phi=\Phi_{0} / 2=\mu_{0} n I S / 2 \] where \(\Phi_{0}\) is the flux of the vector \(\mathbf{B}\) through the cross-section of the solenoid far from its ends.