A40.0-ma current is carried by a uniformly wound air-core solenoid with 450 turns, a 15.0-mm diameter, and 12.0-cm length. compute
(a) the magnetic field inside the solenoid,
(b) the magnetic flux through each turn, and
(c) the inductance of the solenoid.
(d) what if? if the current were different, which of these quantities would change?

To solve this problem, the concepts related to Magnetic Field and Inductance are necessary.

Our data are given by,

PART A) By definition we know that the magnetic field within a solenoid is defined as

Where,

Permeability constant

n = (N/L)  Number of turns per meter

I = Current

Applying with our values we have that,

PART B) The magnetic flux is defined by

Where,

B = Magnetic Field

A = Area

PART C) For its part by definition the inductance in a solenoid is given by

PART D) As can be seen in the three definitions and their respective formulas, both the inductance, the magnetic flux and the magnetic field would be affected and would also change

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Explanation: