Two long parallel wires P and Q are held perpendicular to the plane of the paper at a separation of $$5m$$. If P and Q carry currents of $$2.5$$ A and $$5$$ A respectively in the same direction, then the magnetic field at a point midway between P and Q is

Question

Infinity Learn · Accepted Answer

When the current flows in both wires in the same direction then magneticfield at half way due to the wire P, B→$$p=$$μ$$0I12$$$$π$$$$52=$$μ$$02.5$$$$π$$$$5=$$μ$$02$$π$$($$⊗$$)Magnetic$$ field at half way due to wire Q,B→$$Q=$$μ$$0I22$$$$π$$$$52=$$μ$$05$$$$π$$$$5=$$μ$$0$$π$$($$⊙$$)Net$$ magnetic field at half way,B→$$=B$$→$$P+B$$→$$Q=$$−μ$$02$$π$$+$$μ$$0$$π$$=$$μ$$02$$π$$($$⊙$$)$$

Two long parallel wires P and Q are held perpendicular to the plane of the paper at a separation of 5m. If P and Q carry currents of 2.5 A and 5 A respectively in the same direction, then the magnetic field at a point midway between P and Q is

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