A current of `5A` is flowing from south to north in a straight wire. Find the magnetic field due to a `1cm` piece of wire at a point `1m` north east from the piece of wire.

Explanation

To solve the problem of finding the magnetic field due to a 1 cm piece of wire carrying a current of 5 A at a point 1 m northeast from the wire, we can follow these steps:

### Step 1: Understand the Geometry
We have a straight wire with current flowing from south to north. The point where we want to calculate the magnetic field is located 1 m northeast from the wire. This means that the angle between the line connecting the wire to the point and the north direction is 45 degrees.

### Step 2: Use the Biot-Savart Law
The magnetic field \( B \) due to a small current element \( I \, dl \) at a distance \( r \) is given by the Biot-Savart Law:
\[
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