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Physics · Electrostatic Potential

English

क्रमशः स्थितियों \( \mathbf{r}_1, \mathbf{r}_2, \text{ और } \mathbf{r}_3 \) पर स्थित तीन आवेशों \( q_1, q_2, \text{ और } q_3 \) के निकाय की स्थिरवैद्युत स्थितिज ऊर्जा क्या है?

  1. A
    \( \frac{1}{4\pi\varepsilon_0} ( \frac{q_1 q_2 q_3}{r_{12} + r_{23} + r_{31}} ) \) / \( \frac{1}{4\pi\varepsilon_0} ( \frac{q_1 q_2 q_3}{r_{12} + r_{23} + r_{31}} ) \)
  2. B
    \( \frac{1}{4\pi\varepsilon_0 r_{123}} (q_1 + q_2 + q_3) \) / \( \frac{1}{4\pi\varepsilon_0 r_{123}} (q_1 + q_2 + q_3) \)
  3. C
    \( \frac{1}{4\pi\varepsilon_0} \frac{q_1 q_2 q_3}{r_{12} r_{23} r_{31}} \) / \( \frac{1}{4\pi\varepsilon_0} \frac{q_1 q_2 q_3}{r_{12} r_{23} r_{31}} \)
  4. D
    \( \frac{1}{4\pi\varepsilon_0} ( \frac{q_1 q_2}{r_{12}} + \frac{q_2 q_3}{r_{23}} + \frac{q_3 q_1}{r_{31}} ) \) / \( \frac{1}{4\pi\varepsilon_0} ( \frac{q_1 q_2}{r_{12}} + \frac{q_2 q_3}{r_{23}} + \frac{q_3 q_1}{r_{31}} ) \)
उत्तर और समाधान देखें

सही उत्तर · विकल्प D

\( \frac{1}{4\pi\varepsilon_0} ( \frac{q_1 q_2}{r_{12}} + \frac{q_2 q_3}{r_{23}} + \frac{q_3 q_1}{r_{31}} ) \) / \( \frac{1}{4\pi\varepsilon_0} ( \frac{q_1 q_2}{r_{12}} + \frac{q_2 q_3}{r_{23}} + \frac{q_3 q_1}{r_{31}} ) \)

व्याख्या

The total electrostatic potential energy for a three-charge system is the sum of interaction energies of all unique pairs: \( U = \frac{1}{4\pi\varepsilon_0} ( \frac{q_1 q_2}{r_{12}} + \frac{q_2 q_3}{r_{23}} + \frac{q_3 q_1}{r_{31}} ) \).
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