GATE 2014 EC (EC4) – Question 63
The one-dimensional electric field between A and B is shown. Their electrostatic potentials are ψ_A and ψ_B. Find ψ_B − ψ_A (V).
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: -15.1 to -14.9
Explanation
Electrostatic potential difference isψB−ψA=−∫AᴮE dl. The nonzero region is a trapezoid with average field(20+40)/2=30kV/cm and width5µm=5×10⁻⁴cm. Its area is30×10³×5×10⁻⁴=15V. Therefore **ψB−ψA=−15V**.