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In the shown figure shown a. Find ...

In the shown figure shown

a. Find `q_1` and `q_6`
b. total electrostatic potential energy .

Text Solution

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a. `q_1=0`
`q_2=4q`
`q_3=-q_2=-4q`
`q_4=2q-q_3=6q`
`q_5=-q_4=-6q`
`q_6=q-q_5=7q`
b. `U_(Total)=U_1+U_2+U_3`

`Here U_1=1/2((4q)^2)/C_1`
`where C_1=(4piepsilon_0)/(1/R-1/(2R))`
`U_2=1/2((6q)^2)/C_2`
where `C_2=(4piepsilon_0)/(1/(2R)-1/(3R))`
and `U_3=1/2 ((7q)^2)/C_3`
where, `C_3=(4piepsilon_0)/(1/(3R)-1/oo)=4piepsilon_0(3R)`
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