Two point charges of 1nC and 2nC are placed at the two corners of an equilateral triangle of side 3?cm. The work done in bringing a charge of 3?nC from infinity to the third corner of the triangle is______

Question

Two point charges of 1 nC and 2 nC are placed at the two corners of an equilateral triangle of side 3 cm. The work done in bringing a charge of 3 nC from infinity to the third corner of the triangle is_______ $μ J$ .

$\frac{1}{4 π ε_{0}} = 9 \times 10^{9} {N·m}^{2} / C^{2}$ [2026]

Smart Achievers · Accepted Answer

(1)

$W = (\frac{k q_{1}}{ℓ} + \frac{k q_{2}}{ℓ}) q_{3}$

$= \frac{9 \times 10^{9}}{3 \times 10^{- 2}} (3 \times 10^{- 9}) \times 3 \times 10^{- 9}$

$= 27 \times 10^{- 7} J = 2.7 μ J$

Solution

Q.
Two point charges of 1 nC and 2 nC are placed at the two corners of an equilateral triangle of side 3 cm. The work done in bringing a charge of 3 nC from infinity to the third corner of the triangle is_______ $μ J$ .

$\frac{1}{4 π ε_{0}} = 9 \times 10^{9} {N·m}^{2} / C^{2}$ [2026]

1 2.7

2 3.3

3 5.4

4 27

Ans.
(1)

$W = (\frac{k q_{1}}{ℓ} + \frac{k q_{2}}{ℓ}) q_{3}$

$= \frac{9 \times 10^{9}}{3 \times 10^{- 2}} (3 \times 10^{- 9}) \times 3 \times 10^{- 9}$

$= 27 \times 10^{- 7} J = 2.7 μ J$

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