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In figure,infinite conducting rings each having current i in the direction shown(current in each ring is alternate to each other in direction) are placed concentrically in the same plane as shown in figure.The radius of rings are r,2r,2r2 ,2r3..............infinity. THE MABNETIC FIELD AT THE CENTRE OF RINGS WILL BE----?

anurag bhattacharjee , 13 Years ago
Grade Upto college level
anser 1 Answers
ROSHAN MUJEEB

Solution :
B=μ0i2r−μ0i2(2r)+μ0i2(22r)...(∞)B=μ0i2r-μ0i2(2r)+μ0i2(22r)...(∞)
B=μ0i2r[1−12+122−123+∞]B=μ0i2r[1-12+122-123+∞]
B=μ0i2r[11−(−12)]⇒B=μ0i3rB=μ0i2r[11-(-12)]⇒B=μ0i3r.
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