Magnetic field due to a ring having $n$ turns at a distance $x$ on its axis is proportional to (if $r$ = radius of ring)

  • A
    $\frac{r}{(x^2 + r^2)}$
  • B
    $\frac{r^2}{(x^2 + r^2)^{3/2}}$
  • C
    $\frac{nr^2}{(x^2 + r^2)^{3/2}}$
  • D
    $\frac{n^2r^2}{(x^2 + r^2)^{3/2}}$

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Five very long,straight wires are bound together to form a small cable. Currents carried by the wires are $I_1 = 20\,A, I_2 = -6\,A, I_3 = 12\,A, I_4 = -7\,A, I_5 = 18\,A.$ The magnetic induction at a distance of $10\,cm$ from the cable is

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