Plot a graph showing the variation of Coulomb force (F) versus (r21), where r is the distance between the two charges of each pair of charges (1μC,2μC) and (2μC,−3μC). Interpret the graphs obtained.
Solution
Coulomb's law gives F=4πε01q1q2⋅r21, so a plot of F against r21 is a straight line through the origin whose slope is 4πε0q1q2. For (1μC,2μC) the product is positive, so the force is repulsive and the slope is 4πε02N m2 (positive). For (2μC,−3μC) the product is negative, so the force is attractive (negative slope), and the magnitude of the slope is larger (6 against 2 units), making the line steeper.
CBSE Class 12 Board · 2011 · All India · Subjective