Question

In the figure distance of the point from A, where
the electric field is zero is- [RPMT-2000)
10uCO ------------- 204C
+--- 80 cm --
(1) 20 cm
(3) 33 cm
(2) 10 cm
(4) none of these​

Answer 1

answer : option (3) 33 cm

explanation :

10μC --------- 80cm--------20μC

seperation between charges, r = 80cm

let x distance from the 10μC charge , electric field becomes zero.

so, K(10μC)/x² = K(20μC)/(r - x)²

⇒10/x² = 20/(80 - x)²

⇒1/x² = 2/(80 - x)²

⇒1/x = √2/(80 - x)

⇒80 - x = √2x

⇒x = 80/(√2 + 1) = 80/2.414 = 33.14cm ≈ 33cm

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Answer 2

$\huge\bold\purple{Answer:-}$

(3) 33 cm