A pair of stationary and infintely long bent wires are placed in the ` XY` planes as shown in fig. The wires carry currents of ` I = 10 amperes` each as shown . The segments `P and Q` are parallel to the ` Y-axis` such that ` OS = OR = 0.02 m`. Find the magnitude and direction of the magnetic induction at the origin `O`.

A pair of stationary and infintely long bent wires are placed in the `

1.	A pair of stationary and infintely long bent wires are placed in the ` XY` planes as shown in fig. The wires carry currents of ` I = 10 amperes` each as shown . The segments `P and Q` are parallel to the ` Y-axis` such that ` OS = OR = 0.02 m`. Find the magnitude and direction of the magnetic induction at the origin `O`.
Answer» As point O is along the length of segments L and M, so the field at O due to these segements will be zero. Also, point O is near one end of a long wire. The resultant field at O, `B_R=B_P+B_Q`, this field will be into the plane of paper. `implies B_R=(mu_0)/(4pi) I/(RO)+(mu_0)/(4pi) 1/(SO)` But `RO=SO=0.02m` Hence, `B_R=2xx(mu_0)/(4pi)xx10/0.02=2xx10^-7 10/0.02=10^-4 Wbm^-2`

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