Home › JEE Main › Physics › Moving Charges and Magnetism › Two long, parallel wires carry currents $I_1$ an…
Two long, parallel wires carry currents $I_1$ and $I_2$ in the **same direction** separated by distance $d$. The force per unit length between them is:
ARepulsive, $\dfrac{\mu_0 I_1 I_2}{2\pi d}$
BAttractive, $\dfrac{\mu_0 I_1 I_2}{2\pi d}$
CZero
DAttractive, $\dfrac{\mu_0 I_1 I_2}{4\pi d^2}$
Answer & Solution
Correct answer: B. Attractive, $\dfrac{\mu_0 I_1 I_2}{2\pi d}$
Each wire sits in the magnetic field of the other. The field of wire 1 at the position of wire 2 has magnitude $B_1 = \dfrac{\mu_0 I_1}{2\pi d}$.
Force per unit length on wire 2: $\dfrac{F}{L} = I_2 B_1 = \dfrac{\mu_0 I_1 I_2}{2\pi d}$.
**Direction**: when currents flow in the *same* direction, the force is **attractive**; in *opposite* directions, the force is **repulsive**. This is also how the ampere is operationally defined (the current that, in two parallel wires 1 m apart, produces $2 \times 10^{-7}$ N per metre).
Related questions
An electron and a proton enter a magnetic field with the same kinetic energy, perpendiculaA galvanometer is converted into an ammeter of higher range by connecting:The work done by a static magnetic force on a moving charge is:Magnetic field at a point on the axis of a circular loop, far from the loop (distance x ≫ The dimensional formula of the magnetic field B (in SI units of tesla) is:A cyclotron of magnetic field B accelerates positive charges of mass m, charge q. The cyclTorque on a magnetic dipole (current loop) of moment m placed in a uniform field B at anglTwo long parallel wires carry currents I₁ and I₂ in the SAME direction, separated by dista