17. Three positively charged particles lies on a straight line at positions 0,x and 10 as indicated in the fig- ure below. Their charges are Q, 2Q and 4Qcm respectively. If the charges at x=0 and x=10 are fixed and the charge at x is movable, the system will be in equilibrium when x=
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Answer:
E=
4πϵ
0
1
c=1
∑
10
r
i
2
q
i
=
4πϵ
0
1
v=1
∑
n
(10i)
2
i
3
×10
−8
×10
−4
=
10
2
×10
−4
9×10
9
×10
−8
i=1
∑
10
i
2
i
3
=9×10
2
(
2
10×11
)
=9×55×10
3
=495×10
3
N
=4.95×10
5
N
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