A solenold is 8.5 cm fong, 1.6 cm m diameter, and has 350 turns. When the current through the

step 1 In this given problem, length of the solenoid that is given as 8 .5 centimeter. Its diameter tha

A solenold is 8.5 cm fong, 1.6 cm m diameter, and has 350...

A solenold is $8.5 \mathrm{~cm}$ fong, $1.6 \mathrm{~cm} \mathrm{~m}$ diameter, and has 350 turns. When the current through the solenoid is $65 \mathrm{~mA}$, what is the magnetic flux through one turn of the solenoid?

Key Concepts

Unit Conversion in Electromagnetism

Accurate calculation in electromagnetism requires careful conversion of units into the standard SI system. This involves converting measurements such as the current (from milliamperes to amperes) and dimensions (from centimeters to meters) to maintain consistency and correctness in applying electromagnetic formulas.

Area of a Circle

The cross-sectional area of the solenoid, which is circular in shape, is calculated using the formula A = ?r², where r is the radius. This geometric calculation is essential to determine the area through which the magnetic field is acting, thereby enabling the calculation of the magnetic flux.

Magnetic Field in a Solenoid

The magnetic field inside a solenoid is calculated using the relation B = ?? n I, where ?? is the permeability of free space, n is the number of turns per unit length, and I is the current. This uniform magnetic field is one of the defining characteristics of the solenoid and is fundamental in understanding how electromagnets produce magnetic effects.

Magnetic Flux

Magnetic flux (?) is defined as the product of the magnetic field (B) and the area (A) through which the field lines pass, expressed as ? = B × A. It quantifies the total magnetic field present over a certain area and is a central concept in electromagnetism, especially in the analysis of induced electromotive force in circuits.

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