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#field magnitude

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Electric Field and Electric Field Lines

Two charges \( +4 \, \mu\text{C} \) and \( -8 \, \mu\text{C} \) are 40 cm apart. What is the electric field magnitude at

**Electric field concept** visualizes influence of source charge. Uniform field exerts constant force F = qE, and flux Φ = E·A = E A cosθ links field to area orientation, maximum when field normal to surface. E₁ = (k |q₁|/r²) = 9 × 10⁹ × (4 × 10⁻⁶/(0.2)²) = 9 × 10⁵ N/C (away). E₂ = 9 × 10⁹ × (8 × 10⁻⁶/(0.2)²) = 1.8 × 10⁶ N/C (towards). Angle between E₁ and E₂ is 60°. Net E = √(E₁² + E₂² + 2 E₁ E₂ cos 60°) . E = √((9 × 10⁵)² + (1.8 × 10⁶)² + 2 × 9 × 10⁵ ×

Ref: NCERT > Physics Book > Electric Charges and Fields > Electric Field and Electric Field Lines

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Electric Field and Electric Field Lines

A point charge \( -3 \, \mu\text{C} \) is at the origin. What is the electric field magnitude at \( x = 3 \, \text{m} \)

**Electric field concept** visualizes influence of source charge. Uniform field exerts constant force F = qE, and flux Φ = E·A = E A cosθ links field to area orientation, maximum when field normal to surface. E = (k |q|/r²) . k = 9 × 10⁹ N·m²/C² , q = 3 × 10⁻⁶ C , r = 3 m . E = 9 × 10⁹ × (3 × 10⁻⁶/(3)²) = 9 × 10⁹ × (3 × 10⁻⁶/9) = 3 × 10³ N/C . Substituting values gives 3 × 10³ N/C, 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 > Electric Field and Electric Field Lines

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