Two particles A and B having charges 20 and - 5 respectively are...

Two particles

A

and

B

having charges

20\muC

and

- 5\muC

respectively are held fixed with a separation of

5cm

At what position a third charged particle should be placed so that it does not experience a net electric force ?
Two particles A and B having charges 20 and - 5 respectively are held fixed with a separation of 5cm At what position a

Two particles A and B having charges 20 and - 5 respectively are held fixed with a separation of 5cm At what position a

Options

AAt $5cm$ from $- 5\muC$ on the right side
BAt $5cm$ from $20\muC$ on the left side of system
CAt $1 . 25cm$ from $- 5\muC$ between two charges
DAt midpoint between two charges

Correct answer

A. At $5cm$ from $- 5\muC$ on the right side

Step-by-step solution

Two particles A and B having charges 20 and - 5 respectively are held fixed with a separation of 5cm At what position a

Charge should be placed near $- 5\muC$ at $x$ distance
Two particles A and B having charges 20 and - 5 respectively are held fixed with a separation of 5cm At what position a
$\dfrac{K ( 20 ) Q}{( 5 + x{)}^{2}} = \dfrac{K ( 5 ) Q}{{X}^{2}}$
$4{x}^{2} = ( 5 + x{)}^{2}$
$4{x}^{2} = 25 + {x}^{2} + 10x$
$3{x}^{2} - 10x - 25 = 0$ $⇒ x = 5$

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