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MHT CET 2021 (24 Sep, Shift 1) · Force on Current-Carrying Conductors

Force on Current-Carrying Conductors question from MHT CET 2021 (24 Sep, Shift 1)

Q44MHT CET 2021 · 24 SEP · SHIFT 1Medium

Force on Current-Carrying Conductors

Two long conductors, separated by a distance 'dd' carry currents 'I1I_1' and 'I2I_2 ' in the same directions. They exert a force 'FF' on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to '3d3d'. The new value of the force between them is

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Answer: (c)

  1. F∝I1I2dF \propto \frac{I_1 I_2}{d}
  2. New: I2→−2I2I_2 \to -2I_2, d→3dd \to 3d
  3. F′=F×−23=−2F3F' = F\times\frac{-2}{3} = -\frac{2F}{3} (now repulsive)
  4. So the answer is (c) −2F3-\frac{2F}{3}.
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