Electrostatics Question 5
Question 5 - 25 January - Shift 2
A point charge of $10 \mu C$ is placed at the origin. At what location on the $X$-axis should a point charge of $40 \mu C$ be placed so that the net electric field is zero at $x=2 cm$ on the $X$-axis ?
(1) $x=6 cm$
(2) $x=4 cm$
(3) $x=8 cm$
(4) $x=-4 cm$
Show Answer
Answer: (1)
Solution:
Formula: Coulomb Force
$2 cm(x_0-2) cm$
$E_P=\frac{K \times 10}{2^{2}}-\frac{K \times 40}{(x_0-2)^{2}}=0$
$\frac{1}{2}=\frac{2}{x_0-2}$
$x_0-2=4$
$x_0=6 cm$