Homework Help

An electrical current is going through a circular coil. The coil is input partially in...

user profile pic

gudeapp | Student, College Freshman | eNoter

Posted July 3, 2009 at 9:59 PM via web

dislike 1 like

An electrical current is going through a circular coil. The coil is input partially in a region with magnetic field.

1) Calculate the electromagnetic force which is acting on coil.

2) If the coil would be input totally in the magnetic field, which is the elastic tension from the coil?

1 Answer | Add Yours

Top Answer

user profile pic

giorgiana1976 | College Teacher | Valedictorian

Posted July 21, 2009 at 2:41 AM (Answer #1)

dislike 1 like

1) We'll take an element of coil, ds=R*d tetha. The elementary force is acting on the element, this force being radially oriented:

dF=I*dr x B, module(dr)=ds, where  

r and B are vectors

For each and every element ds, does exist an element, symmetrically from the axis of symmetry OX, so that the components perpendicular to the ox axis are cancelling each other. We'll consider only ox components:

F= Integral (dF* cos tetha)=Integral (I*ds*B*cos tetha)=

=Integral( IRBcos tetha d tetha)=2IRB Integral(cos tetha*dtetha)=2IRB*sin tetha

For a semi-coil, tetha=pi/2, F=2IRB

2) The result of the two tensions which are acting at the ends of the element ds, must balance the electromagnetic force dF, which is acting on the power element.

2T sin (dtetha/2)=2T(d tetha/2)=T d tetha

sin x tends towards to x, when x tends towards to 0.

T d tetha=dF=IdsB=IR(d tetha)B

T=IRB

 

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes