Two very long, straight, parallel wires carry steady currents $ I$ and $-I$ respectively. The distance between the wires is $d$. At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity $v$ perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is

Net magnetic field due to the wires will be downward as shown in figure. Since angle $v \square$ and $\vec{B}$ is $180^{\circ}$. Therefore, magnetic force, $\vec{F}=q(\vec{V} \times \vec{B})=0$

$\frac{\mu_{0} I q v}{2 \pi d}$

$\frac{2 \mu_{0} I q v}{\pi d}$

Two very long, straight, parallel wires carry steady currents $ I$ and $-I$ respectively. The distance between the wires is $d$. At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity $v$ perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is

$\frac{\mu_{0} I q v}{2 \pi d}$

$\frac{2 \mu_{0} I q v}{\pi d}$

Two very long, straight, parallel wires carry stea

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Magnetic Force

Magnetic force is the attraction or repulsion force that results from the motion of electrically charged particles. The magnets are attracted or repellent to one another due to this force. A compass, a motor, the magnets that hold the refrigerator door, train tracks, and modern roller coasters are all examples of magnetic power.

A magnetic field is generated by all moving charges, and the charges that pass through its regions feel a force. Depending on whether the force is attractive or repulsive, it may be positive or negative. The magnetism force is determined by the object's charge, velocity, and magnetic field.

The magnitude of the magnetic force depends on how much charge is in how much motion in each of the objects and how far apart they are.

Mathematically, we can write magnetic force as:

A charge will feel a force as it passes through a magnetic field at an angle. This force is given by the equation:

A force acts on the motion of charge q traveling with velocity v in a Magnetism field, and this force is:

Perpendicular to both v and B.
Perpendicular to sinθ (where θ is the angle between v and B).
Proportional to the charge q.
Proportional to the velocity v.

The Correct Option is D

Solution and Explanation

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Magnetic Force