Three parallel wires $a$, $b$, and $c$ carrying currents $i_a$, $i_b$, and $i_c$ as shown in the figure are placed next to each other. The magnitude of the force on a length $l$ of the wire $a$, if $d_2 = 2 d_1$, $i_b = i_a$, and $i_c = 4 i_a$ is:

  • A
    $\frac{\mu_0}{6 \pi d_1} i_a^2 l$
  • B
    $\frac{\mu_0}{2 \pi d_1} i_a^2 l$
  • C
    $\frac{\mu_0}{4 \pi d_1} i_a^2 l$
  • D
    $\frac{\mu_0}{3 \pi d_1} i_a^2 l$

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