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Two wires $A$ and $B$ are carrying currents $I_1$ and $I_2$ as shown in the figure. The separation between them is $d$. A third wire $C$ carrying a current $I$ is to be kept parallel to them at a distance $x$ from $A$ such that the net force acting on it is zero. The possible values of $x$ are
  • A$x = \left( {\frac{{{I_1}}}{{{I_1} - {I_2}}}} \right)d$ and $\,x = \frac{{{I_2}}}{{\left( {{I_1} + {I_2}} \right)}}d$
  • B$\,\,x =  \pm \frac{{{I_1}d}}{{\left( {{I_1} - {I_2}} \right)}}$
  • C$x = \left( {\frac{{{I_2}}}{{{I_1} + {I_2}}}} \right)d$ and $\,x = \frac{{{I_2}}}{{\left( {{I_1} - {I_2}} \right)}}d$
  • D$x = \left( {\frac{{{I_1}}}{{{I_1} + {I_2}}}} \right)d$ and $\,x = \frac{{{I_2}}}{{\left( {{I_1} - {I_2}} \right)}}d$
JEE MAIN 2019, Medium
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