Magnetic Field Produced by Loops and Solenoids Video Lessons

Concept

# Problem: Suppose that the current in a solenoid (total length is L and total turn is N) is I(t). Within the solenoid, but far from its ends, what is the expression of the magnetic field B(t) due to this current?A. μ0NI(t)/LB. μ0NI(t)C. μ0I(t)/(2πN)D. μ0LI(t)E. μ0I(t)/(2πL)

###### FREE Expert Solution

The magnetic field due to solenoid is determined from amperes law.

Amperes law:

$\overline{){\mathbf{\oint }}{\mathbf{B}}{\mathbf{·}}{\mathbf{d}}{\mathbf{l}}{\mathbf{=}}{{\mathbf{\mu }}}_{{\mathbf{0}}}{\mathbf{i}}}$

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###### Problem Details

Suppose that the current in a solenoid (total length is L and total turn is N) is I(t). Within the solenoid, but far from its ends, what is the expression of the magnetic field B(t) due to this current?

A. μ0NI(t)/L

B. μ0NI(t)

C. μ0I(t)/(2πN)

D. μ0LI(t)

E. μ0I(t)/(2πL)