Magnetic interaction between moving and stationary charge

In summary, two metal spheres with charges q1=-2.80μC and q2=-7.80μC, held at a distance of 0.80m apart, experience a magnetic force when q2 is projected towards q1 at 22ms-1. The magnitude of this force is unknown and cannot be calculated using the given information. Despite the presence of current in the stationary sphere, the magnetic force on it is assumed to be zero since it is not moving. However, the total force on the spheres can be calculated considering the electric component as well.
  • #1
whatisreality
290
1

Homework Statement


A metal sphere, with charge q1=-2.80μC is held still and off the ground on an insulating rod. Another smaller metal sphere with charge q2=-7.80μC is projected towards q1. When the two spheres are 0.80m apart, q2 moves at 22ms-1.
Assume the spheres are point charges, neglect gravity. What is the magnitude of the magnetic force of q2 on q1 when the spheres are 0.5m apart?

Homework Equations


F=qvB, I think...

The Attempt at a Solution


I'm a bit confused about why the magnetic force on the stationary sphere isn't zero. It isn't moving. There may be current in it as electrons are repelled by the approaching sphere, but if we're treating both as point charges this becomes irrelevant, doesn't it? So there's no reason it would feel magnetic force.

Even assuming it does feel a magnetic force, I have no idea which equation to use to find its magnitude. I don't know v or B at 0.5m apart!
 
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  • #2
whatisreality said:
So there's no reason it would feel magnetic force.
In other words, the force is zero.

Weird sort of problem. You can still calculate the total force, which includes the electric component.

(I deleted your other thread as it is fully redundant to this one)
 

Related to Magnetic interaction between moving and stationary charge

1. What is magnetic interaction between moving and stationary charge?

Magnetic interaction between moving and stationary charge is the phenomenon where a magnetic field is created by the relative motion between a moving charged particle and a stationary charged particle. This interaction is governed by the principles of electromagnetism and plays a crucial role in many scientific fields, such as electricity, magnetism, and quantum mechanics.

2. How does the magnetic interaction between moving and stationary charge work?

This interaction is based on the magnetic force, which is a fundamental force that acts on magnetic materials and charged particles moving through a magnetic field. When a charged particle moves through a magnetic field, it experiences a force perpendicular to both the direction of its motion and the direction of the magnetic field.

3. What are some real-life applications of magnetic interaction between moving and stationary charge?

Some common examples of this phenomenon include electric motors, generators, and particle accelerators. In electric motors, the interaction between the magnetic field and the moving charged particles creates the rotational motion that drives the motor. In generators, the reverse process occurs, where mechanical energy is converted into electrical energy through the magnetic interaction. Particle accelerators also rely on this phenomenon to accelerate charged particles to high speeds.

4. Can the strength of the magnetic interaction between moving and stationary charge be changed?

Yes, the strength of this interaction can be changed by altering the speed of the charged particles or the strength of the magnetic field. The force is directly proportional to the magnitude of the charge, the speed of the particle, and the strength of the magnetic field.

5. Is the magnetic interaction between moving and stationary charge the same as an electric interaction?

No, while both interactions involve charged particles, they are fundamentally different. The electric force acts on stationary charged particles, while the magnetic force acts on moving charged particles. Additionally, the electric force is much stronger than the magnetic force, making it the dominant force in most situations.

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