The distance between charges 5× 10-11C and -2.7× 10-11C is 0.2 m. The distance at which a third charge should be placed from 4e in order that it will not experience any force along the line joining the two charges is:

Question

The distance between charges 5× 10-11C and -2.7× 10-11C is 0.2 m. The distance at which a third charge should be placed from 4e in order that it will not experience any force along the line joining the two charges is: (A) 0.44 m (B) 0.65 m (C) 0.556 m (D) 0.350 m

Tardigrade Admin · Accepted Answer

F1=F2 ⇒ (1/4π ε 0)× (5× 10-11× q/(0.2+x)2) =(1/4π ε 0)× (2.7× 10-11× q/x2) ⇒ x=0.556 text m from IInd charge.

Q. The distance between charges $5 \times 10^{- 11} C$ and $- 2.7 \times 10^{- 11} C$ is 0.2 m. The distance at which a third charge should be placed from 4e in order that it will not experience any force along the line joining the two charges is:

0.44 m

0.65 m

0.556 m

0.350 m

0.5 m

$F_{1} = F_{2}$
$\Rightarrow$ $\frac{1}{4 π ε _{0}} \times \frac{5 \times 10 ^{- 11} \times q}{( 0.2 + x ) ^{2}}$ $= \frac{1}{4 π ε _{0}} \times \frac{2.7 \times 10 ^{- 11} \times q}{x ^{2}}$ $\Rightarrow$ $x = 0.556 m$ from IInd charge.

Q. The distance between charges 5×10−11C and −2.7×10−11C is 0.2 m. The distance at which a third charge should be placed from 4e in order that it will not experience any force along the line joining the two charges is: