Two charges Q1 and Q2 are separated by 6 cm . An electron at 2 cm from Q1 in between them experiences no force. If Q1=10 μ C, then Q2 is equal to

Question

Two charges Q1 and Q2 are separated by 6 cm . An electron at 2 cm from Q1 in between them experiences no force. If Q1=10 μ C, then Q2 is equal to (A) 20 μ C (B) 30 μ C (C) 40 μ C (D) 50 μ C

Tardigrade Admin · Accepted Answer

The electron is placed at the point X. It is at a distance of 2 cm from Q1 X=(d/√(Q2)Q1+1) ⇒ 2=(d/√(Q2)10+1) ⇒ Q2-40 μ C

Q. Two charges $Q_{1}$ and $Q_{2}$ are separated by $6 c m .$ An electron at $2 c m$ from $Q_{1}$ in between them experiences no force. If $Q_{1} = 10 μ C$ , then $Q_{2}$ is equal to

$20 μ C$

$30 μ C$

$40 μ C$

$50 μ C$

The electron is placed at the point $X$ . It is at a distance of $2 c m$ from $Q_{1}$
$X = \frac{d}{\frac{Q _{2}}{Q _{1}} + 1}$
$\Rightarrow 2 = \frac{d}{\frac{Q _{2}}{10} + 1}$
$\Rightarrow Q_{2} - 40 μ C$

Q. Two charges Q1​ and Q2​ are separated by 6cm. An electron at 2cm from Q1​ in between them experiences no force. If Q1​=10μC, then Q2​ is equal to

20μC

30μC

40μC

50μC