A charged particle travels along a straight line with a speed v in a r...
No..ans shld be b.. F=qvBsin¢ nd F=qE.. equate both.. acc to option, for, E=VB whn ¢ shld be 90..
A charged particle travels along a straight line with a speed v in a r...
Explanation:
When a charged particle travels along a straight line with a speed v in a region where both electric field E and magnetic field B are present, the following relationship holds true:
|B| = v |E| and the two fields are parallel
To understand why this is the correct answer, let's break down the concept of electric and magnetic fields and how they affect a charged particle.
Electric Field:
An electric field is created by electric charges. It exerts a force on other charged particles within its vicinity. The force experienced by a charged particle in an electric field is given by the equation:
F = qE
Where F is the force experienced by the charged particle, q is the charge of the particle, and E is the electric field.
Magnetic Field:
A magnetic field is created by moving charges or current-carrying wires. It exerts a force on other moving charges or current-carrying wires. The force experienced by a charged particle in a magnetic field is given by the equation:
F = qvB
Where F is the force experienced by the charged particle, q is the charge of the particle, v is the velocity of the particle, and B is the magnetic field.
Combined Effect:
In the given scenario, a charged particle is traveling along a straight line with a speed v. This means that the particle has a velocity v. Since the particle is moving, it experiences a force due to both the electric field and the magnetic field.
Let's assume that the electric field and the magnetic field are not parallel. In this case, the force experienced by the particle would have two components - one due to the electric field and another due to the magnetic field. The total force experienced by the particle would be the vector sum of these two forces.
However, since the particle is traveling along a straight line, it implies that the net force on the particle is zero. This can only be possible if the electric and magnetic fields are parallel to each other and their magnitudes are related by the equation:
|B| = v |E|
If the electric and magnetic fields were perpendicular to each other, the net force on the particle would not be zero, and it would not be able to travel along a straight line with a constant speed.
Therefore, the correct answer is |B| = v |E| and the two fields are parallel (option C).