Question

(c) If all the charges of a system lie in a cube, is it necessary that the centre of charge be in the cube?"

Answer 1

if all the charges of the system lie in a cube no it is not necessary that centre of charges be in the cube because charged particle in a metallic surface on the surface of the matter instead of the inside of the cube .

Answer 2

Yes, it is required that the charge’s center should be in the cube.

Explanation:

• A system of the particles has the centre of the mass, which is the weighted average position. Here, we can assume that the system’s whole mass is concentrated. Let us take a 2-particle system as the example.
• The mass of the first particle is m1 and the mass of the second particle is m2. Then, $m 2<<m1$.
• The center of mass of a system of particles is the weighted average position.
• Here, the mass’ center is positioned between two particles where the lines are joining. This will be nearer to the unit with mass m1.
• Likewise, if it is assumed that the weightiest particle is positioned near the cube’s edge, then the mass’ centre, will be between the particle’s lines and other particle within the cube.
• So, it can be said that in this case, the mass’ centre is extending in fashion inside the cube.