First slide

current density

Question

Two ends of a conductor of variable cross section are connected to the terminals of a battery. E_C and E_D are intensity of electric field at sections C and D respectively. Then

Moderate

A

E_C = E_D
B

E_C > E_D
C

E_C < E_D
D

Sufficient informations are not given to compare E_C with E_D

Solution

If j be the current density, then J_C > J_D also, resistivity $ρ = \frac{E}{j} \Rightarrow E = ρ j$ .
Since $ρ$ is the same at all sections, we can conclude that E_C > E_D.

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