Question

A conductor (of area A) having charge density "sigma" is placed perpendicularly to a uniform electric field E and is connected to a spring (of spring constant k) whose other end is fixed. Now the spring is replaced by similar spring having length one third of the original spring. The extension of the spring in this position is ??

Answer 1

a)\[2E \sigma A/k\]
b)\[2E \sigma A/3k\]
c)\[E \sigma A/3k\]
d)\[2E \sigma A/k\]

Answer 2

Did you try the problem? How did you start it?

Answer 3

I'll give you a hint. Both springs have the same stiffness constant k.

Answer 4

And both spring setups feel the same force. Same force... same stiffness constant k... what does that say about the stretch amount of each spring?

Answer 5

they will be stretched to the same amount of distance!!?

Answer 6

correct