Electrostatics (Doubt)

Consider two conducting spheres of same radius $r$ , separated by a distance $d$ . Charges $+q$ and $-q$ are placed on the two spheres. Find the force $F$ acting on one sphere due to the other.

Problem credit: Ritvik Vantipalli

#ElectricityAndMagnetism

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

Markdown	Appears as
`italics` or `_italics_`	italics
`bold` or `__bold__`	bold
- bulleted - list	bulleted list
1. numbered 2. list	numbered list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1 paragraph 2	paragraph 1 paragraph 2
`[example link](https://brilliant.org)`	example link
`> This is a quote`	This is a quote
# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"	# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"

Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Can you please elaborate the question?

Kishore S. Shenoy - 4 years, 3 months ago

@Kishore S Shenoy There are two spherical conductors : one having charge +q and other -q. Find force of interaction between them ( as a function of their common radius r and distance between their centres d).

Venkata Karthik Bandaru - 4 years, 3 months ago

Ohh, the separation is not large? I suppose that is the catch?

Kishore S. Shenoy - 4 years, 3 months ago

@Kishore S Shenoy The separation is arbitary (of course, greater than 2r).

Venkata Karthik Bandaru - 4 years, 3 months ago

Do you know the answer?

Kishore S. Shenoy - 4 years, 3 months ago

@Kishore S Sheno Nope, I don't know the answer.

Venkata Karthik Bandaru - 4 years, 3 months ago

Consider the charge centred at the centre. Force sud be q^2/(d+2r)^2

I am guessing. Am I right?

Kaushik Chandra - 3 years, 5 months ago

No. The spheres are conducting. Hence, the charges distribute in such a way that the potential at the surface is equal radially symmetric.

Kishore S. Shenoy - 3 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$