Two equally charged small balls placed at a fixed distance experiences a force F.A similar uncharged ball after touching one of them is placed at the middle point between the two balls.The force experienced by this ball is:
Answers
Answer:Let Q charged on two identical balls and separation between them is 2R
Then, repulsive force act between them , F = KQ²/(2R)² = KQ²/4R² ----(1)
Now, a 3rd ball is touched with one of them{ assume 1 St ball } ,
Then, charge will share equally to both the balls.
e.g., charge on 1st ball = Q/2
charge on 3rd ball = Q/2.
Now, 3rd ball is placed midpoint of 1st and 2nd ball .
so, Force act on 3rd ball due to 1st ball , F₁ = K(Q/2)(Q/2)/R² = KQ²/4R²
again, force act on 3rd ball due to 2nd ball , F₂ = K(Q/2)(Q)/R² = KQ²/2R²
Because both the forces are repulsive nature and F₂ > F₁
so, net force experienced by 3rd ball = F₂ - F₁ = KQ²/2R² - KQ²/4R² = KQ²/4R²
Now, from equation (1)
Net force experienced by 3rd ball = F { e.g., force experienced by 1st and 2nd ball }
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Explanation: