Two Concentric circular coils `X` and `Y` of radii `16 cm` and `10cm` lie in the same vertical plane containing `N-S` direction `X` has 20 turns and carries `16A .Y` has `25` turns & carries `18 A.X` has current in anticlockwise direction and `Y` has current in clockwise direction for the observer, looking at the coils facing the west. The magnitude of net magnetic field at their common center is?

Explanation

To find the magnitude of the net magnetic field at the common center of the two concentric circular coils `X` and `Y`, we can follow these steps:

### Step 1: Identify the parameters of the coils
- Coil `X`:
- Radius \( R_x = 16 \, \text{cm} = 0.16 \, \text{m} \)
- Number of turns \( N_x = 20 \)
- Current \( I_x = 16 \, \text{A} \)
- Current direction: Anticlockwise (when viewed from the east)
...