Two particles A and B having charges 20   μ C and - 5   μ C respectively are held fixed…

Two particles A and B having charges 20 μC and -5 μC respectively are held fixed with a separation of 5 cm At what position a third charged particle should be placed so that it does not experience a net electric force ?
  1. At 5 cm from -5 μC on the right side
  2. At 5 cm from 20 μC on the left side of system
  3. At 1.25 cm from -5 μC between two charges
  4. At midpoint between two charges

Solution

Charge should be placed near -5μC at x distance

K(20)Q(5+x)2=K(5)QX2
4x2=(5+x)2
4x2=25+x2+10x
3x2-10x-25=0 x=5

Asked in: JEE Main 2021 (31 Aug Shift 1)

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