An electric field E = 50î + 75ĵ N/C exists in a region. Presuming p...

Question

An electric field E = 50î + 75ĵ N/C exists in a region. Presuming potential at origin to be zero, find the potential at point P(1 m, 2 m).

Accepted Answer

Given: • Electric field: E = 50î + 75ĵ N/C • V at origin = 0 • Point P = (1 m, 2 m) Formula: V(P) − V(O) = −∫E · dr = −(Ex·Δx + Ey·Δy) Calculation: V(P) − 0 = −(50 × 1 + 75 × 2) = −(50 + 150) = −200 V ∴ V(P) = −200 V Interpretation: • Negative potential means the point P is at lower potential than origin. • Work is done by the field as positive charge moves from O to P.

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