Two long parallel wires P and Q are both perpendicular to the plane of the paper with distance of $$5m$$ between them. If P and Q carry current of $$5A$$ and $$2.5A$$ respectively in the same direction, then the magnetic field at a point halfway between the wires is

Question

Infinity Learn · Accepted Answer

When current flow in both wire in same direction then  magnetic field at half way due to P wire. B→$$P=$$μ$$0I12$$$$π$$$$52=$$μ$$0I1$$$$π$$$$5=$$μ$$0$$π $$($$ where $$I1=2.5Amp)$$ The direction of Bp is downward ⊗ Magnetic field at half way due to Q wire B→$$Q=$$μ$$0I22$$$$π$$$$52=$$μ$$02$$π[ upward ⊙][$$whereI2=2.5Amp$$.] Net magnetic field at half way B→$$=B$$→$$P+B$$→$$Q=$$μ$$0$$π−μ$$02$$π$$=$$μ$$02$$π(downward$$ ⊗$$)

Two long parallel wires P and Q are both perpendicular to the plane of the paper with distance of 5m between them. If P and Q carry current of 5A and 2.5A respectively in the same direction, then the magnetic field at a point halfway between the wires is

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