Advertisements
Advertisements
प्रश्न
How much work has to be done in assembling three charged particles at the vertices of an equilateral triangle, as shown in the figure?
संख्यात्मक
Advertisements
उत्तर
Let
Side of the equilateral triangle = l
As
Work done in assembling the charges = Net potential energy of the system
\[\Rightarrow W = U_{12} + U_{13} + U_{23} \]
\[ \Rightarrow W = \frac{1}{4\pi \epsilon_0}\left( \frac{q_1 q_2}{l} + \frac{q_1 q_3}{l} + \frac{q_2 q_3}{l} \right)\]
\[ = \frac{9 \times {10}^3}{{10}^{- 1}} \times {10}^{- 10} [4 \times 2 + 4 \times 3 + 3 \times 2]\]
\[ = 9 \times (8 + 12 + 6)\]
\[ = 9 \times 26 = 234 \] J
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
