Two point charges of and are fixed apart in vacuum

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

Two point charges of +5 μC+5\,\mu\text{C} and +20 μC+20\,\mu\text{C} are fixed 40 cm40\,\text{cm} apart in vacuum. Calculate the distance from the +5 μC+5\,\mu\text{C} charge at which a +1 μC+1\,\mu\text{C} test charge must be placed on the line joining the two charges so that the net electrostatic force on it is zero.

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