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, we need to analyze the drift velocities of electrons in two metallic wires of the same material, connected in both series and parallel configurations. We will denote the two wires as Wire A and Wire B, with their cross-sectional areas in the ratio of 1:2.

### Step 1: Understand the relationship between current, drift velocity, and cross-sectional area
The current \( I \) flowing through a wire can be expressed in terms of the drift velocity \( v_d \) as follows:

\[ I = n \cdot A \cdot e \cdot v_d \]
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