Five long wires A, B, C, D and E each carrying I are arranged to form edges of a pentagonal prism as shown in figure. Each wire carries current out of the plane of paper, the magnetic induction at a point on the axis O is (axis O is at a distance R from each wire) is then

equal to zero

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less than zero

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more than zero

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infinite

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Solution

The correct option is A equal to zero
Key concept: The wires shown in this problem carrying current outwards to the plane. And we know that direction of magnetic field is perpendicular to both current and position vector r. So, the vector sum of magnetic field produced by each wire at O is equal to 0.
Suppose the five wires A, B, C, D, and E be perpendicular to the plane of paper at locations as shown in figure.
Thus, magnetic field induction due to five wires will be represented by various sides of closed pentagon in one order, lying in the plane of paper. So, its value is zero.

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