A long s ru nas 800 turns per meter length or soleflore. A...

A long s ru nas 800 turns per meter length or soleflore. A current of $1.6$ Amp flows through it. The magnetic induction at the end of the solenoid on its axis is tesla.
(a) $16 \times 10^{-4}$
(b) $8 \times 10^{-4}$
(c) $32 \times 10^{-4}$
(d) $4 \times 10^{-4}$

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Key Concepts

Magnetic Field in a Solenoid

This concept refers to the determination of the magnetic field inside a solenoid using the relationship B = ??nI, where n is the number of turns per unit length and I is the current. It is based on the assumption that the solenoid is long enough for its internal field to be uniform and for edge effects to be negligible.

Permeability of Free Space

The permeability of free space, denoted ??, is a fundamental physical constant that sets the scale for magnetic interactions in a vacuum. It plays a crucial role in electromagnetic equations, including the calculation of the magnetic field inside a solenoid.

Ampere's Law

Ampere’s Law is a key principle in electromagnetism that relates the integrated magnetic field around a closed loop to the electric current passing through that loop. It underpins the derivation of the magnetic field inside configurations such as solenoids.

Turn Density

Turn density is the number of turns per unit length of a solenoid and is a critical parameter in determining the strength of the magnetic field. A higher turn density results in a stronger magnetic field for a given current, which is essential in applications of solenoids.

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