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#electrostatic potential energy

2 public questions tagged with this topic.

Two charges \( 5 \, \mu\text{C} \) and \( -5 \, \mu\text{C} \) are placed 10 cm apart. What is the potential energy of t

**Dielectric polarization** when slab inserted, bound charges appear reducing effective field, capacitance increases by factor K, potential difference for constant charge V = Q/C decreases, for constant voltage charge increases. Dielectric constant K = ε/ε₀ >1, e.g., K≈5 for glass. U = (1/4 π ε₀) (q₁ q₂/r) = 9 × 10⁹ × (5 × 10⁻⁶ × (-5 × 10⁻⁶)/0.1) = 9 × 10⁹ × (-25 × 10⁻¹²/0.1) = -2.25 J . Using V = kQ/r, U = k q₁q₂/r, E = -dV/dr, C = ε₀A/d, 1/C_eq series, C_eq = ΣC parallel, U = ½ C V² and common potential V = Q_total/C_total, result -2.25 J follows, reflecting potential-capacitance relations.

Ref: NCERT > Physics Book > Electrostatic Potential and Capacitance > Conductors, Electrostatic Shielding and Dielectrics

Two charges \( +5 \, \mu\text{C} \) and \( -5 \, \mu\text{C} \) are 30 cm apart. What is the potential energy of the sys

**Electrostatic force** described by F = (1/4π ε₀)·q₁q₂/r² obeys Newton's third law. Magnitude depends on q₁q₂ and 1/r², enabling quantitative estimation at given separation, with sign indicating attraction or repulsion. Potential energy: U = k (q₁ q₂/r) . U = 9 × 10⁹ × ((5 × 10⁻⁶) × (-5 × 10⁻⁶)/0.3) = 9 × 10⁹ × (-25 × 10⁻¹²/0.3) = -0.75 J . Substituting values gives -0.75 J, which matches expected magnitude for this electrostatic configuration, confirming Coulomb's and Gauss's principles and charge quantization consistency.

Ref: NCERT > Physics Book > Electric Charges and Fields > Coulomb's Law and Force Between Point Charges