three equal charges of 5.0uc each are situated at the three vertices of an equilateral triangle of side 5cm each calculate electric potential energy of system charges
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13.5 J
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12th/Physics
Electrostatics
Answer :
Three equal charges of 5μC are placed at three vertices of an equilateral triangle of side 5cm.
We have to find electric potential energy of the system
★ Electric potential energy is a scalar quantity. While finding its value, the value of various charges must be substituted with their proper sign.
- PE of two like charges is positive.
- PE of two unlike charges is negative.
⭆ U = U₁₂ + U₂₃ + U₁₃
- U₁₂ = U₂₃ = U₁₃ = k(q)(q)/r
⭆ U = 3kq²/r
⭆ U = [3(9×10⁹)(5×10‾⁶)²]/0.05
⭆ U = 675×10‾³/0.05
⭆ U = 13500 × 10‾³
⭆ U = 13.5 J
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