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1. Electric Charges and Fields
medium
Three point charges $q_1, q_2, q_3$ are placed at the vertices of a triangle if force on $q_1$ and $q_2$ are $\left( {2\hat i - \hat j} \right)\,N$ and $\left( {\hat i + 3\hat j} \right)\,N$, respeactively, then what will be force on $q_3$ ?
A
Zero
B
$\left( { - 3\hat i - 2\hat j} \right)\,N$
C
$\left( {\hat i - \hat j} \right)\,N$
D
Cannot be calculated
Solution
Net force on system must be zero.
${\overrightarrow {\rm{F}} _1} + {\overrightarrow {\rm{F}} _2} + {\overrightarrow {\rm{F}} _3} = \overrightarrow 0 $
$(2\widehat {\rm{i}} – \widehat {\rm{j}}) + (\widehat {\rm{i}} + 3\widehat {\rm{j}}) + {\overrightarrow {\rm{F}} _3} = \overrightarrow 0 $
${\overrightarrow{\mathrm{F}}_{3}=-(3 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}) \mathrm{\,N}}$
Standard 12
Physics
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