How Does Charge Distribute Between Two Concentric Shells Connected by a Wire?

[Conductivity]

Homework Statement

The problem states:
2 concentric shells made out of conductive materials as in the diagram. R2/ R1 = 6. If the shells were charged with a total charge of 100 nc the connected with a wire, Then the final charge on both shells would be?
1) 33.3, 66.7 2) 30, 70 3) 20, 80 4) 50,50 5) 14.3,85.7

Homework Equations

Voltage at both end points of the wire should be the same

The Attempt at a Solution

Shouldn't all the charge go to the outer shell? So it will be 0, 100

The solution provided used this formula:
Q1/ Q2 = R1/R2
https://prnt.sc/jmp453

Where we only used this formula for the case of two really far conducting shells connected with a wire.

Exam tomorrow, Thank you in advance.

 

[jedishrfu]

While I’m sure someone will respond, my suggestion is to seek out a fellow student and see if you both can work this out since you’re concerned about your exam and we may not answer in time.

 

[BvU]

Shouldn't all the charge go to the outer shell?

It should. No potential difference between the two shells means no electric field. No field means no charge: a Gaussian volume, spherical, just inside the outer shell should not contain any charge.

Your answer is correct.