Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

Two point charges +5 $\mu C$ and -5 $\mu C$ are placed at O (0 mm, 0mm) and P(3 mm, 4 mm) respectively force on $+5 \mu C$ is

Options:

$1.8(3\hat{i}-4\hat{j})\times 10^{+3} N$

$-1.8(3\hat{i}+4\hat{j})\times 10^{+3} N$

$1.8(3\hat{i}+4\hat{j})\times 10^{3} N$

$1.8(-3\hat{i}+4\hat{j})\times 10^{3} N$

Correct Answer:

$1.8(3\hat{i}+4\hat{j})\times 10^{3} N$

Explanation:

The correct answer is option (3) : $1.8(3\hat{i}+4\hat{j})\times 10^{3} N$

Force between two point charge $q_1$ and $q_2$

$\vec{F}=\frac{kq_1q_2}{r^2}\hat r=\frac{kq_1q_2}{r^3}|\vec r|$

$=\frac{9×10^9×5×5×10^{-12}×(3\hat i+4\hat j)×10^{-3}}{5×5×5×10^{-9}}$

$=1.8(3\hat{i}+4\hat{j})\times 10^{3} N$