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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,2r 2 , 2r 3 ..............infinity. THE MABNETIC FIELD AT THE CENTRE OF RINGS WILL BE----?

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----?

Grade:Upto college level

1 Answers

ROSHAN MUJEEB
askIITians Faculty 833 Points
3 years ago

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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