Question

Two charge Q₁ and Q₂ are placed in xy plane at a distance X₁ and x₂ from origin a shown in figure. If electric field at O is

same for both charge then find ratio Q₁ and Q₂. ​

Answer 1

Question

Two charge Q₁ and Q₂ are placed in xy plane at a distance x₁ and x₂ from origin a shown in figure. If electric field at O is  same for both charge then find ratio Q₁ and Q₂. ​

Concept used

Electric field at point is inversely proportional to square of distance from source charge.

Answer

E₁ = Electric field due to q₁ at origin.

E₂ =  Electric field due to q₂ at origin.

• E₁ = E₂

$\to\sf{\displaystyle\frac{Q_{1}}{4 \pi \varepsilon_{0} x_{1}\:^{2}}=\frac{Q_{2}}{4 \pi \varepsilon_{0} x_{2}\:^{2}}}$

⇒ Q₁/Q₂ = x₁²/x₂²