Two wires of different materials of resistivity `p_1 and p_2` , length `l_1 and l_2`, and area of cross-section `A_1 and A_2` respectively are connected in parallel. The ratio of current density in the two wires,`j_1/j_2` , is given by:

Options

A. `(A_1/A_2)(p_2/p_1)(j_1/j_2)`
B. `(p_2/p_1)(j_2/j_1)`
C. `(A_2/A_1)(p_2/p_1)(j_2/j_1)`
D. `(p_2/p_1)(j_1/j_2)`

Explanation

To find the ratio of current density in two wires connected in parallel, we can follow these steps:

### Step 1: Understand the Setup
Two wires made of different materials are connected in parallel. Each wire has its own resistivity, length, and area of cross-section. The wires are subjected to the same potential difference (V).

### Step 2: Define Electric Field
For each wire, the electric field (E) can be expressed as:
- For wire 1: \( E_1 = \frac{V}{L_1} \)
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