As shown in the figure two infinitely long, identical wires are bent by `90^(@)`, and placed in such a way that the segments LP and QM are along x-axis, while segmetns PS and QN are parallel to y-axis.Let OP =OQ=5cm, and the magnitude of the magnitude field at O is `10^(-5)T` and also the two wires cary equal currents(see figure). What wil be the magnitude of current in each wire in A?

Answer

`02.50`

Explanation

The magnetic field due to wires LP and
MQ will be zero at point O.
Magnetic field at point O due to vertical wires is given as
`B=B_(SP)=B_(ON)`
`:.B_(SP)=(m_(0)I)/(4pir)(sin 0+sin90^(@))`
`B_(QN)=(mu_(0)I)/(4pir)(sin 0+sin90^(@))`
`B=2xx(mu_(0)I)/(4pir)(sin 0+sin90^(@))`
`implies10^(-5)=(2xx4pixx10^(-7))/(4pi)xx1/0.05`
`impliesI=2.5A`