Question

The charges on two spheres are +7muC and –5muC respectively. They experience a force F. If each of them is given an additional charge of –2muC, the new force of attraction will be

Answer 1

$\underline{\boxed{ \huge\purple{ \rm{Answer}}}} \\ \\ \star \: \rm \red{Given} \: \begin{cases} q_1 = + 7 \mu{C} \\ q_2 = - 5 \mu{C} \\ Q_1 = + 7 - 2 = + 5 \mu{C} \\ Q_2 = - 5 - 2 = - 7 \mu{C} \end{cases} \\ \\ \star \: \rm \red{To \: Find} \\ \\ \implies \rm \: new \: force \: after \: modification \\ \\ \star \: \rm \red{Calculation} \\ \\ \boxed{ \rm{ \pink{F \propto{q1q2}}}} \\ \\ \implies \rm \: \frac{F_1}{F_2} = \frac{7 \times ( - 5)}{5 \times ( - 7)} = \frac{ - 35}{ - 35} = 1 \\ \\ \therefore \: \boxed{ \orange{ \rm{F_2 = F_1}}}$