Two long parallel wires A and B carry currents I₁ and I₂ (with I₂ < I₁) in the same direction. At a point midway between the wires, the magnetic field magnitude is 10 µ T. If the current I₂ is reversed in direction (keeping both magnitudes fixed), the field at that point becomes 30 µ T. What is the ratio I₁/I₂?

PhysicsMediumHigh School (11–12)jee-main

At a point midway between two parallel wires, the fields due to the two currents point in opposite directions if the currents are parallel (same direction) and in the same direction if the currents are antiparallel. The midpoint field magnitude is $\propto (I_1-I_2)$ for parallel currents and $\propto (I_1+I_2)$ for antiparallel currents, since both wires are equidistant from the midpoint.

Two long parallel wires A and B carry currents $I_1$ and $I_2$ (with $I_2 < I_1$ ) in the same direction. At a point midway between the wires, the magnetic field magnitude is $10\,\mu T$ . If the current $I_2$ is reversed in direction (keeping both magnitudes fixed), the field at that point becomes $30\,\mu T$ . What is the ratio $I_1/I_2$ ?

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