A short conductor of length 5.0cm is placed parallel to a long conductor of length 1.5cm near its centre. The conductors carry currents 4.0A and 3.0A respectively in the same direction. What is the total force experienced by the long conductor, when they are 3.0cm apart?

Explanation

Length of long conductor `= I_(1) = 1*5` m
Length of short conductor ` = l_(2) = 5*0` cm `= 5 xx 10^(-2)` m
`I_(1) = 4A, I_(2) = 3A`
`r = 3cm = 3 xx 10^(-2)`m
As `F = (mu_(0))/(4pi) (2I_(1)I_(2))/(r) xx I_(2)`
` = 10^(-7) xx (2 xx 4 xx 3)/(3 xx 10^(-2)) xx 5 xx 10^(-2)`
`rArr F = 4 xx 10^(-6)` N