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Three coplanar parallel wires, each carr...

Three coplanar parallel wires, each carrying a current of 10 A along the same direction, are placed with a separation 5.0 cm between the consecutive ones. Find the magnitude of the magnetic force per unit length acting on the wires.

Text Solution

Verified by Experts

For wire W_1
`(dF)/(dl) = (mu_oxx10xx10)/(2pixx5xx10^(-2) + (mu_o xx10xx10)/(2pixx5xx10^(-2)`
`=(2xx10^(-7)xx10^2)/(5xx10^(-2) + (2xx10^(-7)xx10^2 )/(10xx10^(-2)`
`=4xx10^(-4)+2xx10^(-4)`
`=6xx10(-4) N towards right`
For wire `W_2,`
`(dF)/(dl) = (mu_oxx10xx10)/(2pixx5xx10^(-2)) - (mu_oxx10xx10)/(2pixx5xx10^(-2)) = 0`
For wire `W_3`
(dF)/(dl)= (mu_oxx10xx10)/(2pixx 5 xx10^(-2)+ (mu_oxx10xx10)/(2pixx5xx10^(-2)`
towards left
`=6xx10^(-4)N towards left.`
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Knowledge Check

  • Two parallel wires 2 m apart carry currents of 2 A and 5 A respectively in same direction, the force per unit length acting between these two wires is

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