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Three long straight parallel wires are k...

Three long straight parallel wires are kept as shown in figure. The wire (3) carries a current I.

(i) The direction of flow of current I in wire (3), is such that the net force, on wire (1), due to other two wires, is zero (ii) By reversing the direction of I, the net force, on the wire (2) due to the other two wires, becomes zero.
What will be the directions of current I, in the two cases? Also obtain the relation between the magnitudes of current `I_1`, `I_2` and I.

Text Solution

Verified by Experts

(i) Direction of I is downward.
(ii) Direction of I is upward.
`(mu_(0))/(4pi)=(2I" "I_(2))/(a)=(mu_(0))/(4pi)(2I_(1)" "I_(2))/(a)`
`impliesI=I_(2)`
Also, `(mu_(0))/(4pi)=(2I" "I_(2))/(2a)=(mu_(0))/(4pi)(I_(1)" "I_(2))/(a)impliesI=I_(2)`.
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