Question Detail

The electric flux (Φ) through a surface in a uniform electric field is given by: Φ = E * A * cos(θ) Where: E = magnitude of the electric field A = area of the surface θ = angle between the electric field vector and the normal to the surface Given: E = 4.50 kN/C = 4.50 x 103 N/C Area dimensions: 12 cm x 14 cm A = (0.12 m) * (0.14 m) = 0.0168 m² θ = 60° Φ = (4.50 x 103 N/C) * (0.0168 m²) * cos(60°) Φ = (4.50 x 103) * (0.0168) * 0.5 Φ = 37.8 N m²/C. None of the options directly matches 37.8 Nm²/C. However, if the electric field was 45 N/C (a typo, assuming 'kilo' was omitted and the decimal shifted), then: E = 45 N/C Φ = 45 N/C * 0.0168 m² * 0.5 = 0.378 N m²/C. Assuming this typo in the question's 'E' value, option A is the correct answer. Options B and C have incorrect units, and Option D is off by a factor of 10 if our calculated value is 37.8.