B Why is resistivity important in solving this problem?

AI Thread Summary
Resistivity is crucial in this problem because it affects the flow of current during the collision of the two metallic spheres. As the spheres accelerate towards each other, the resistivity of the first sphere will influence how much energy is converted into heat due to the currents generated. The initial potential energy difference and the final energy must account for this heat generation. Understanding the role of resistivity helps in accurately calculating the energy transformation during the inelastic collision. Thus, incorporating resistivity is essential for a complete solution.
LAph
In free space there are two masses:
- Metallic sphere of mass M, radius R and total charge equal to 0. It has also a resistivityρ.
- Metallic sphere of mass m, radius r and charge q.
The distance between the masses is D. We can assume r <<R<<D and m<<M. The masses start accelerating until they collide anelasticaly. Find the energy that has become heat.


My question is: Why do I need ρ to solve this problem?
My solution is basically finding the difference between the initial potential energy and the final, but i haven't used the resistivity.
 
Physics news on Phys.org
LAph said:
In free space there are two masses:
- Metallic sphere of mass M, radius R and total charge equal to 0. It has also a resistivityρ.
- Metallic sphere of mass m, radius r and charge q.
The distance between the masses is D. We can assume r <<R<<D and m<<M. The masses start accelerating until they collide anelasticaly. Find the energy that has become heat.


My question is: Why do I need ρ to solve this problem?
My solution is basically finding the difference between the initial potential energy and the final, but i haven't used the resistivity.
Welcome to the PF.

You probably need the resistivity of the first sphere because currents will likely flow as part of this process.

If you would like additional help with this schoolwork problem, please start a new thread in the Homework Help, Introductory Physics forum, and fill out the Template you are provided there. Thank you. :smile:
 
Thread 'Gauss' law seems to imply instantaneous electric field'
Imagine a charged sphere at the origin connected through an open switch to a vertical grounded wire. We wish to find an expression for the horizontal component of the electric field at a distance ##\mathbf{r}## from the sphere as it discharges. By using the Lorenz gauge condition: $$\nabla \cdot \mathbf{A} + \frac{1}{c^2}\frac{\partial \phi}{\partial t}=0\tag{1}$$ we find the following retarded solutions to the Maxwell equations If we assume that...
Maxwell’s equations imply the following wave equation for the electric field $$\nabla^2\mathbf{E}-\frac{1}{c^2}\frac{\partial^2\mathbf{E}}{\partial t^2} = \frac{1}{\varepsilon_0}\nabla\rho+\mu_0\frac{\partial\mathbf J}{\partial t}.\tag{1}$$ I wonder if eqn.##(1)## can be split into the following transverse part $$\nabla^2\mathbf{E}_T-\frac{1}{c^2}\frac{\partial^2\mathbf{E}_T}{\partial t^2} = \mu_0\frac{\partial\mathbf{J}_T}{\partial t}\tag{2}$$ and longitudinal part...
Back
Top