हिंदी

Justify your answers for each case. State the significance of the negative value of electrostatic potential energy of a system of charges.

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प्रश्न

Justify your answers for each case.

State the significance of the negative value of electrostatic potential energy of a system of charges.

Three charges are placed at the corners of an equilateral triangle ABC of side 2.0 m as shown in the figure. Calculate the electric potential energy of the system of three charges.

योग
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उत्तर

U = `(KQ_AQ_B)/r + (KQ_BQ_C)/r + (KQ_CQ_A)/r`

U = `K/r[Q_AQ_B + Q_BQ_C + Q_CQ_A]`

U = `K/r xx [4 xx 10^-6 xx -4 xx 10^-6] + [-4 xx 10^-6 xx 2 xx 10^-6] + [2 xx 10^-6 xx 4 xx 10^-6]`

U = `K/r xx 10^-12[-16 - 8 + 8]`

U = `K/r xx 10^-12(-16)`

U = `(-9 xx 10^9 xx 10^-12 xx 16)/2`

U = -72 × 10-3 J

U = -7.2 × 10-2 J

A negative value signifies a stable system.

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2022-2023 (March) Outside Delhi Set 1

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