Find the magnetic field B due to a semicircular wire of radius 10.0 cm carrying a current of 5.0A at its centre of curvature .

Explanation

To find the magnetic field \( B \) due to a semicircular wire of radius \( 10.0 \, \text{cm} \) carrying a current of \( 5.0 \, \text{A} \) at its center of curvature, we can follow these steps:

### Step 1: Understand the Problem
We need to calculate the magnetic field at the center of a semicircular wire carrying a current. The radius of the semicircle is given as \( r = 10.0 \, \text{cm} \) and the current \( I = 5.0 \, \text{A} \).

### Step 2: Convert Units
Convert the radius from centimeters to meters for consistency in SI units:
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