Calculate the magnetic field induction at a point distance, `(asqrt(3))/(2)` metre from a straight wire of length 'a' metre carrying a current of i amp. The point is on the perpendicular bisector of the wire.

Explanation

To calculate the magnetic field induction at a point distance \((\frac{a\sqrt{3}}{2})\) metres from a straight wire of length \(a\) metres carrying a current \(i\) amperes, where the point is on the perpendicular bisector of the wire, we can follow these steps:

### Step 1: Understand the Geometry
We have a straight wire of length \(a\) carrying a current \(i\). The point where we need to calculate the magnetic field is located on the perpendicular bisector of the wire at a distance of \(\frac{a\sqrt{3}}{2}\) from the wire.

### Step 2: Identify the Relevant Angles
Since the point is on the perpendicular bisector, we can determine the angles formed between the wire and the line connecting the wire to the point. The distance from the midpoint of the wire to the point is \(\frac{a\sqrt{3}}{2}\), and the half-length of the wire is \(\frac{a}{2}\).

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