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Two wires of different materials of resi...

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:

A

`(A_1/A_2)(p_2/p_1)(j_1/j_2)`

B

`(p_2/p_1)(l_2/l_1)`

C

`(A_2/A_1)(p_2/p_1)(j_2/j_1)`

D

`(p_2/p_1)(j_1/j_2)`

Text Solution

AI Generated Solution

To find the ratio of current density in two wires connected in parallel, we can follow these steps: ### Step 1: Understand the relationship between current density, resistivity, and electric field The current density \( j \) in a conductor is given by the equation: \[ j = \sigma E \] where \( \sigma \) is the conductivity of the material and \( E \) is the electric field. Conductivity \( \sigma \) is the reciprocal of resistivity \( \rho \): ...
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