A) \[3\times {{10}^{-4}}N\] toward right
B) \[6\times {{10}^{-4}}N\] toward right
C) \[9\times {{10}^{-4}}N\]toward right
D) Zero
Correct Answer: A
Solution :
\[\begin{matrix} {{I}_{1}}=30A & I=10A & {{I}_{2}}=20A \\ \end{matrix}\] Also given; length of wire Q = 25 cm = 0.25 m Force on wire Q due to wire R \[{{F}_{QR}}={{10}^{-7}}\times \frac{2\times 20\times 10}{0.05}\times 0.25\] \[=20\times {{10}^{-5}}N\](Towards left) Force on wire Q due to wire P \[{{F}_{QP}}={{10}^{-7}}\times \frac{2\times 30\times 10}{0.03}\times 0.25\] \[=3\times {{10}^{-4}}N\](Towards right) Hence, \[{{F}_{net}}={{F}_{QP}}-{{F}_{QR}}\] \[=50\times {{10}^{-5}}N-20\times {{20}^{-5}}N\] \[=3\times {{10}^{-4}}N\]towards rightYou need to login to perform this action.
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