Three charges each of magnitude q are placed at the corners of an equilateral triangle. The electrostatic force on the charge placed at the centre is (each side of triangle is L )

Question

Three charges each of magnitude q are placed at the corners of an equilateral triangle. The electrostatic force on the charge placed at the centre is (each side of triangle is L ) (A) zero (B) (1/4 π ε0) (q2/L2) (C) (1/4 π ε0) (3 q2/L2) (D) (1/12 π ε0) (q2/L2)

Tardigrade Admin · Accepted Answer

In the following figure, since |FA|=|FB|=|FC| and they are equally inclined with each other, so their resultant will be zero. <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/a5193833ca0a0d90c457cae264b238f4-.png" />

Q. Three charges each of magnitude $q$ are placed at the corners of an equilateral triangle. The electrostatic force on the charge placed at the centre is (each side of triangle is $L$ )

zero

$\frac{1}{4 π ε _{0}} \frac{q ^{2}}{L ^{2}}$

$\frac{1}{4 π ε _{0}} \frac{3 q ^{2}}{L ^{2}}$

$\frac{1}{12 π ε _{0}} \frac{q ^{2}}{L ^{2}}$

In the following figure, since $∣ ∣ F_{A} ∣ ∣ = ∣ ∣ F_{B} ∣ ∣ = ∣ ∣ F_{C} ∣ ∣$ and they are equally inclined with each other, so their resultant will be zero.

Q. Three charges each of magnitude q are placed at the corners of an equilateral triangle. The electrostatic force on the charge placed at the centre is (each side of triangle is L )

zero

4πε0​1​L2q2​

4πε0​1​L23q2​

12πε0​1​L2q2​

In the following figure, since ∣∣​FA​​∣∣​=∣∣​FB​​∣∣​=∣∣​FC​​∣∣​ and they are equally inclined with each other, so their resultant will be zero.

Q. Three charges each of magnitude $q$ are placed at the corners of an equilateral triangle. The electrostatic force on the charge placed at the centre is (each side of triangle is $L$ )

$\frac{1}{4 π ε _{0}} \frac{q ^{2}}{L ^{2}}$

$\frac{1}{4 π ε _{0}} \frac{3 q ^{2}}{L ^{2}}$

$\frac{1}{12 π ε _{0}} \frac{q ^{2}}{L ^{2}}$

In the following figure, since $∣ ∣ F_{A} ∣ ∣ = ∣ ∣ F_{B} ∣ ∣ = ∣ ∣ F_{C} ∣ ∣$ and they are equally inclined with each other, so their resultant will be zero.