Question

two similar magnetic poles strength in the ratio 1:2 are placed 1m? apart .find the point where a unit pole experiences no net force due t the two poles?

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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 p,

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+4√2x=−1±2√Taking positive root as the initial monopoles were of same polarity thezero field point has to lie within their separationx=0.414 m ≈41 cm