Two balls A and B of same mass (M) and charges Q,-Qare suspended by two strings of same length from two different suspension points S1 and S2. If S1S2 = 3x and AB = x then show that :
a) tension in string is T = Q²L/4πε₀x³
b) tanθ = Q²/4πε₀x²Mg
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Answer:
FromthefigurewehaveTcosθ=MgTsinθ=
4πε
0
x
2
Q
2
And2Lsinθ=2x⇒x=Lsinθ
Puttingthevalueofsinθweget
T=
4πε
0
x
3
Q
2
L
ThereforeoptionA
tanθ=
4πε
0
x
2
Mg
Q
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