Polar and non-polar molecules, polarization
Electrostatic potential and capacitance · Physics
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Problem: A neutral dielectric slab is placed in a uniform electric field of 100 N/C. The electric susceptibility of the material is 0.5. Calculate the polarization P. Steps: 1. Identify the formula for polarization: P = ε₀χE, where ε₀ is the permittivity of free space (8.85 × 10⁻¹² F/m), χ is the susceptibility, and E is the electric field. 2. Substitute the values: P = (8.85 × 10⁻¹²) × 0.5 × 100. 3. Calculate the product: 8.85 × 0.5 = 4.425. Then 4.425 × 100 = 442.5. 4. Combine with the exponent: 442.5 × 10⁻¹² C/m². 5. Convert to standard scientific notation: 4.425 × 10⁻¹⁰ C/m². Answer: The polarization is 4.425 × 10⁻¹⁰ C/m².