It is desired to measure the magnitude of field between the poles of a powerful loud speaker magnet. A small flat search coil of area `2 cm^(2)` with 25 closely wound turns is positioned normal to the field direction and then quickly snatched out of the field region (Equivalently, one can give it a quick `90^(@)` turn to bring its plane parallel to the field direction). The total charge flowing in the coil (mesured by a ballistic galbanometer connected to the coil) is 7.5 mC. The resistance of the coil and galvanometer is `0.5 Omega`. Estimate the field strength of the magnet.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Convert the area of the coil from cm² to m²
The area of the coil is given as \(2 \, \text{cm}^2\). To convert this to square meters:
\[ \text{Area} = 2 \, \text{cm}^2 = 2 \times 10^{-4} \, \text{m}^2 \]

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