Question 337: Electrostatics & Capacitance

Question

Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is :

Accepted Answer

Force experienced by the charge q
$$F = {{kQqx} \over {{{\left[ {{{\left( {{d \over 2}} \right)}^2} + {x^2}} \right]}^{{3 \over 2}}}}}$$
For maximum Coulomb's force for x
$${{dF} \over {dx}} = 0$$
On solving $$x = {d \over {2\sqrt 2 }}$$

Answer

x = d

Answer

$$x = {d \over 2}$$

Answer

$$x = {d \over {\sqrt 2 }}$$

Answer

$$x = {d \over {2\sqrt 2 }}$$

Electrostatics & Capacitance

Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulomb's force is :

Choose the correct answer: