Two metallic wires of the same material B, have the same length out cross-sectional area is in the ratio 1:2. They are connected (i) in series and (ii) in parallel. Compare the drift velocities of electrons in the two wires in both the cases (i) and (ii) .

Explanation

To solve the problem of comparing the drift velocities of electrons in two metallic wires connected in series and parallel, we will follow these steps:

### Given Data:
- Let the cross-sectional areas of the wires be \( A_1 \) and \( A_2 \) such that \( \frac{A_1}{A_2} = \frac{1}{2} \).
- Both wires have the same length \( L \) and are made of the same material, hence they have the same resistivity \( \rho \).

### Step 1: Analyze the Series Connection
1. **Current in Series**: When the wires are connected in series, the current \( I \) through both wires is the same. Therefore, \( I_A = I_B \).
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