Solving for Charge Distribution on 2 Conducting Spheres & Rod

bobmerhebi
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Homework Statement



2 conducting spheres with radii 2 & 3m are connected with a conducting rod of thickness 0.1m & length 0.5m. 500C charge is put on the 2m radius sphere.
Find the amount of charge on each sphere & on the rod.

Homework Equations




The Attempt at a Solution



By conservation of charges: Q1 + Q2 + Q3 = 500 ... (1); Q1 of rod & Q2 & Q3 of 2m & 3m radii spheres respectively.

As charges are uniformly distributed we have: \sigma1 = \sigma2 = \sigma3

so Q1/A1 = Q2/A2 = Q3/A3 ... (2)



here i got stuck & don;t know how to continue. i know that i need to find 3 equations with 3 unkowns & solve the system, but I am not seeing these equation except for (1) & probably i have to use parts of (2).

could someone help please. thx
 
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you have three equations, (1) and two equations in (2). Q_1/A_1 = Q_2/A_2 and Q_2/A_2 = Q_3/A_3.
 


thx 4 the help
 


bobmerhebi said:
As charges are uniformly distributed we have: \sigma1 = \sigma2 = \sigma3

Can you justify this?
 


coz charges on conductors tend to uniformly distribute them selves. isn't it?
 

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