JEE Mains · Physics · STD 12 - Electric charges and fields
- JEE Mains 2022
- Medium
- Numerical
Three point charges of magnitude \(5 \mu C , 0.16 \mu C\) and \(0.3 \mu C\) are located at the vertices \(A , B , C\) of a right angled triangle whose sides are \(AB =3\,cm\), \(BC =3 \sqrt{2}\,cm\) and \(CA =3\,cm\) and point \(A\) is the right angle corner. Charge at point \(A\) experiences \(N\) of electrostatic force due to the other two charges.
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(17\)
Step-by-step Solution
Detailed explanation
\(F _{1}=\frac{ k \times 5 \times 0.3 \times 10^{-12}}{9 \times 10^{-4}}\)
\(=\frac{9 \times 10^{9} \times 5 \times 0.3 \times 10^{-12}}{9 \times 10^{-4}}\)
\(=1.5 \times 10=15\,N\)
\(F _{2}=\frac{9 \times 10^{9} \times 5 \times 0.16 \times 10^{-12}}{9 \times 10^{-4}}=8\,N\)
force experienced by charge at \(A =\sqrt{ F _{1}^{2}+ F _{2}^{2}}\)
\(=\sqrt{15^{2}+8^{2}}\)
\(=\sqrt{289}=17\,N\)
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