Two similar magnetic poles having pole strength in the ratio 1:2 are placed 1m apart Find the point where - Physics - Moving Charges And Magnetism

Question

Two similar magnetic poles having pole strength in the ratio 1:2
are placed 1m apart Find the point where a unit pole experiences no
net force due to the two poles

Sayantan · Accepted Answer

Dear Student,

Force due to magnetic poles:

FM=kqm1qm2r122   where k=μ4πNow, qm1qm2=12Lets take a test monopole of magnetic monopole charge=qm and place it a distancex from 1For equilibriumFM1Q=FM2Q⇒kqm1qmx2=kqmqm2(1-x)2⇒qm1qm2=x21+x2-2x   ⇒ 12=x21+x2-2x⇒x2+2x-1=0Solving for x x= -2±4+42x=-1±2Taking positive root as the initial monopoles were of same polarity thezero field point has to lie within their separationx=0
414 m ≈41 cm                       from pole 1

Regards

Two similar magnetic poles having pole strength in the ratio 1:2 are placed 1m apart. Find the point where a unit pole experiences no net force due to the two poles.