Question

Consider a finite insulated, uncharged conductor placed neae a finite positively charged conductor. The uncharged body must have a potential :
(1).More than the charged conductor and less than at infinity
(2).Less than charge conductor and less than at infinity.
(3). Less than the charged conductor and more than at infinity
(4). More than the charged conductor and more than at infinity.

Answer 1

What i m getting is the potential of uncharged conductor is same as that at infinity... Which is 0

Answer 2

@michele_laino

Answer 3

I think that we have to solve this system:
\[\Large \left\{ \begin{gathered}
Q = {C_0}{V_1} + a{V_2} \hfill \\
\hfill \\
0 = a{V_1} + \varepsilon {C_0}{V_2} \hfill \\
\end{gathered} \right.\]
where the charge \(Q>0\) and \(a>0\) is a constant, furthermore \(\varepsilon\) is the dielectric constant of the insulator, and \(V_1,\;V_2\) are the electric potential of the conductor and the dielectric respectively.
From such system, we get:
\[\Large {V_2} = \frac{{ - aQ}}{{\varepsilon C_0^2 - {a^2}}} < {V_1}\]

Answer 4

I have supposed that \(V_1>0\)

Answer 5

Sir i have a doubt in this ...

Answer 6

I try to explain without formulas

Answer 7

What i came up with was since charged body will induce charge in the uncharged body..
Bt the total charge will remain 0 only..bcoz it was uncharged...so won't its potential be 0

Answer 8

The charge induction would be such that the negative charge would be pulled out on the side facing the charged conductor and the +ve charge would be present on the surface of uncharged conductor at a very far off distance from that charged conductor

Answer 9

when I place an insulator in front of a charged conductor, such insulator, or dielectric, will undergo an electrification

Answer 10

Yep it will but the net charge on it remains 0
Isn't it?

Answer 11

yes! Its charge is zero, furthermore, that dielectric, will gain an electric dipole moment

Answer 12

Sir , if its charge is 0 then potential should also be 0

Answer 13

and an electri dipole moment, inside an external electric field has an amount of potential energy

Answer 14

yes! I think so!
What I have wrote before, is wrong, since I have applied the formulas for two conductors

Answer 15

Yep its bcoz of the force that it experience which is pdE/dr

Answer 16

correct!

Answer 17

So what should be the ans ..
0 or non zero

Answer 18

I thin that its potential can not be zero.
Let's suppose to connect such insulator with the earth:

I ask what will happen?

Answer 19

think*

Answer 20

Positive charge will flow to the earth ..
And so potential would be positive

Answer 21

as we can see, the potential of earth is zero by definition

Answer 22

Sorry negative

Answer 23

and a flow of electric charge is the effect of a difference of potential

Answer 24

It will do so bcoz the positive charge is not bounded whereas negative charge has been bounded due to the electric attraction caused by the conductor

Answer 25

sorry, we have not a flow of electric charge

Answer 26

since we have a dielectric object

Answer 27

Sir why do we need to even ground the dielectric

Answer 28

The question never says that

Answer 29

I'm searching a way in order to get the answer, it is a reasoning of mine

Answer 30

Okay sir...if u get the reasoning then pls do inform me about the same ..coz i need it for sure...:)

Answer 31

I think that the potential of such dielectric is not zero

Answer 32

Sir ,why?

Answer 33

please consider this situation: