In a certain region of space the electric potential is given by

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

In a certain region of space the electric potential is given by V(x,y)=(200 V/m) x+(150 V/m) yV(x,y)= (200\,\text{V/m})\,x + (150\,\text{V/m})\,y, where xx and yy are in meters. A 0.50 μC0.50\,\mu\text{C} test charge is moved directly from the origin (0,0)(0,0) to the point (0.30 m, 0.40 m)(0.30\,\text{m},\,0.40\,\text{m}). What is the work done by the electric field during this displacement? (a) +60 μJ+60\,\mu\text{J} (b) −62.5 μJ-62.5\,\mu\text{J} (c) −60 μJ-60\,\mu\text{J} (d) −30 μJ-30\,\mu\text{J}

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