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Question

Match the entries of column I with the entries of column II in the following table.

Column I Column II
(A) (P) Wires 1 and 2 attract each other.
(B) (Q) Wires 1 and 2 do not exert any force on each other.
(C) (R) Magnetic fields at point P due to wires 1 and 2 are perpendicular to each other.
(D)
Wires 1 and 2 are in the same plane without touching each other.
(S) Magnetic fields at point P due to wires 1 and 2 are in the same direction.

Which of the following option has the correct combination, considering column I and column II?

A
AQ,S
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B
BR,S
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C
CQ,R
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D
DP,Q
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Solution

The correct option is C CQ,R
In case (A)

Due to I1, B at P, from right-hand thumb rule, is upward and due to I2 is out of the plane.

So, magnetic fields at point P due to wires 1 and 2 are perpendicular to each other.

Also, I1I2. So, wires 1 and 2 do not exert any force on each other.

AR,Q

In case (B)
Similarly, as above, B at P, due to I1
is toward left and due to I2 is into the plane.

So, magnetic fields at point P due to wires 1 and 2 are perpendicular to each other.

Also, I1I2. So, wires 1 and 2 do not exert any force on each other.

BR,Q

In case (C)

B at P, due to I1
is toward right and due to I2 is out of the plane.

So, magnetic fields at point P due to wires 1 and 2 are perpendicular to each other.

Also, I1I2. So, wires 1 and 2 do not exert any force on each other.

CR,Q

In case (D)



B at P, due to I1 and I2 is out of the plane.

So, magnetic fields at point P due to wires 1 and 2 are in the same direction.

Also, I1I2. So, wires 1 and 2 do not exert any force on each other.

DS,Q

Hence, option (C) is correct.

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