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Two long mutually perpendicular conducto...

Two long mutually perpendicular conductors carrying currents `I_1` and `I_2` lie in one plane, Find the locus of points at which the magnetic induction is zero.

A

circle with centre as the point of intersection of the conductor .

B

parabola with vertex as the point of intersection of the conductors .

C

straight line passing through the point of intersection of the conductors .

D

rectangular hyperbola .

Text Solution

Verified by Experts

The correct Answer is:
C
`oversetrarr(B)_(p) = oversetrarr(B)_(1) + oversetrarrB_(2)`
`B_(p) = (mu_(0))/(4pi) (2I_(1))/(y)o. + (mu_(0))/(4pi) (2I_(0))/(x)ox`
`0=[(mu_(0))/(4pi)(2I_(1))/(y) - (mu_(0))/(4pi)(21_(2))/(x) o]o.` .
`y = (I_(1))/(I_(2)) x `
.
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