An electric current passes through non-uniform crosssection wire made of homogeneous and isotropic material. If jA and jB are the current densities and EA and EB are the electric field intensities at A and B respectively, then

Question

An electric current passes through non-uniform crosssection wire made of homogeneous and isotropic material. If jA and jB are the current densities and EA and EB are the electric field intensities at A and B respectively, then (A) jA > jB ; EA > EB (B) jA > jB ; EA < EB (C) jA < jB ; EA > EB (D) jA < jB ; EA < EB

Tardigrade Admin · Accepted Answer

(I/A)=j and j=(E/ρ) ∴ jA > jB and EA > EB .

Q. An electric current passes through non-uniform crosssection wire made of homogeneous and isotropic material. If $j_{A}$ and $j_{B}$ are the current densities and $E_{A}$ and $E_{B}$ are the electric field intensities at $A$ and $B$ respectively, then

$j_{A} > j_{B}; E_{A} > E_{B}$

$j_{A} > j_{B}; E_{A} < E_{B}$

$j_{A} < j_{B}; E_{A} > E_{B}$

$j_{A} < j_{B}; E_{A} < E_{B}$

$\frac{I}{A} = j$ and $j = \frac{E}{ρ}$
$∴ j_{A} > j_{B}$ and $E_{A} > E_{B} .$

Q. An electric current passes through non-uniform crosssection wire made of homogeneous and isotropic material. If jA​ and jB​ are the current densities and EA​ and EB​ are the electric field intensities at A and B respectively, then

jA​>jB​;EA​>EB​

jA​>jB​;EA​<EB​

jA​<jB​;EA​>EB​

jA​<jB​;EA​<EB​