Kushagra Madhukar
Last Activity: 4 Years ago
Dear student,
Please find the solution to your problem below.
F2q ← q → FQ Q FQ ← 2q → Fq
x d – x
Now, Net force on q = F2q + FQ = 0
Hence, kq(2q)/d2 + kqQ/x2 = 0
or, Q = – 2qx2/d2
Net force on 2q is also zero.
Hence, Fq + FQ = 0
Hence, kq(2q)/d2 + k(2q)Q/(d – x)2 = 0
Hence, q/d2 + ( – 2qx2/d2)/(d – x)2 = 0
or, (d – x)2 – 2x2 = 0
or, d2 + x2 – 2xd – 2x2 = 0
or, x2 + 2xd – d2 = 0
The positive root of this equation is,
x = d / (√2 + 1)
Hope it helps.
Thanks and regards,
Kushagra