Two wires each carrying a steady current $I$ are shown in four configurations in Column $I$. Some of the resulting effects are described in Column $II$. Match the statements in Column $I$ with the statements in Column $II$ and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$.

Column $I$ Column $II$
$(A)$ Point $P$ is situated midway between the wires. $Image$ $(p)$ The magnetic fields $(B)$ at $P$ due to the currents in the wires are in the same direction.
$(B)$ Point $P$ is situated at the mid-point of the line joining the centers of the circular wires, which have same radii. $Image$ $(q)$ The magnetic fields $(B)$ at $P$ due to the currents in the wires are in opposite directions.
$(C)$ Point $P$ is situated at the mid-point of the line joining the centers of the circular wires, which have same radii. $Image$ $(r)$ There is no magnetic field at $P$.
$(D)$ Point $P$ is situated at the common center of the wires. $Image$ $(s)$ The wires repel each other.

 

  • A$A \rightarrow(s) \&(r), B \rightarrow(p), C \rightarrow(q) \&(r), D \rightarrow(r)$
  • B$A \rightarrow(q) \&(r), B \rightarrow(p), C \rightarrow(q) \&(r), D \rightarrow(q)$
  • C$A \rightarrow(s) \&(r), B \rightarrow(s), C \rightarrow(q) \&(r), D \rightarrow(p)$
  • D$A \rightarrow(q) \&(r), B \rightarrow(s), C \rightarrow(q) \&(r), D \rightarrow(r)$
IIT 2007, Advanced
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