Two infinitely long wires each carrying the same current $i$ and pointing in $+y$ direction are placed in the $xy$ plane,at $x=-2 \ cm$ and $x=1 \ cm$. An electron is fired with speed $U$ from the origin making an angle of $+45^{\circ}$ from the $x$-axis. The force on the electron at the instant it is fired is [$B_0$ is the magnitude of the field at the origin due to the wire at $x=1 \ cm$ alone].

  • A
    $\frac{-e U B_0}{2 \sqrt{2}}(\hat{i}-\hat{j})$
  • B
    $\frac{-e U B_0}{2}(\hat{i}-\hat{j})$
  • C
    $\frac{-e U B_0}{\sqrt{2}}(\hat{i}-\hat{j})$
  • D
    $-e U B_0(\hat{i}-\hat{j})$

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