Explore BrainMass

solenoid magnetic field details

This content was STOLEN from BrainMass.com - View the original, and get the already-completed solution here!

Magnetic field is a vector quantity {vector B}, therefore, it has two components to represent it: Magnitude {B}, and
To find the direction, Right Hand Thumb Rule is used, while for magnitude, a basic law of Biot-Savart Law is used.
Right Hand Thumb Rule [RHTR} states {in my words} that
- if you are given a current {I} carrying conductor, a magnetic field {B} is produced around it.
- The magnetic field lines are in concentric circles, in plane perpendicular to the direction of current.
-It you told your right hand four fingers, and keep your thumb straight. If the current is in the direction of thumb,
then magnetic field (due to the current} lines will be along the direction of fingers.
NOTE: The direction of magnetic field direction is represented by field or force lines.
NOTE: denser the field lines {i.e., large number of field lines concentrated some where) == strong field; and vice-
This concept is applicable in the case of solenoid, you have shown and have asked for. To explain you, I have
attached my camera pictures. May be the quality of the picture not so good, but please bear with me.
ln the attachments, I have started with RHTR:
Solenoid {picture you have shown in attachment): N number of loops, side-by-side == conductors in shape of
loop, parallel to one another.
Page 1
-First: Single conductor and field around it [in a plane perpendicular to the direction of current)
-lf no. of conductors are placed sided-by-side, the field lines will be combination of all of them [see Attachment �"
combined field lines are darkened)
Page 2
-Now take an example of rectangularrsquare loop, combined filed of four sides - four conductors. Inside the loop,
field will be in the same direction {for each apply RHTR). Outside the loop, field direction will be opposite to that of
inside field. Outside, each side of the loop, field will be dominated by a conductor closer to it. Though, inside, field
is combined of all sides. Obviously, inside the field will be stronger than outside.
-Now replace square loop with circular loop == Very large number of conductors side by side, with a small
deviation of angle with respecto one another. But concept of loop will be applied, except instead of 4 conductors,
very large number of conductors.
-Once single loop is done, now extend further: N number of loops side by side == N conductors side~by-side,
each in shape of a loop. Now you see the combined field lines profile [see attachment}

© BrainMass Inc. brainmass.com October 17, 2018, 11:27 am ad1c9bdddf


Solution Preview

To derive the magnetic field due to a solenoid, concept of magnetic field
due to coil is utilized: Magnetic field on the axis ...

Solution Summary

Magnetic field due to current carrying solenoid is derived.

Similar Posting

Magnetic Fields for a Long Solenoid

A long solenoid has 1400 turns per meter of length, and it carries a current of 3.5 A. A small circular coil of wire is placed inside the solenoid with the normal to the coil oriented at an angle of 90 degrees with respect to the axis of the solenoid. he coil consists of 50 turns, has an area of 1.2 x 10^-3 m^2, and carries a current of 0.50 A. What is the torque exerted on the coil?

View Full Posting Details