A copper wire of length 10,m and radius left(10^{-2} / sqrt{pi}right) m has electrical resistance of 10 ,Omega. The current density in the wire for

Q: A copper wire of length $10\,m$ and radius $\left(10^{-2} / \sqrt{\pi}\right) m$ has electrical resistance of $10 \,\Omega$. The current density in the wire for an electric field strength of $10( V / m )$ is :

c Radius of wire $=\frac{10^{-2}}{\sqrt{\pi}}$ Cross sectional area $A =\pi r ^{2}=10^{-4} m ^{2}$ $j =\frac{ i }{ A }=\left(\frac{ V }{ R }\right) \cdot \frac{1}{ A }=\frac{ E \ell}{ RA } \quad R =\frac{\rho \ell}{ A }$ $j =\frac{10 \times 10}{10 \times 10^{-4}}=10^{5} A / m ^{2}$ $J=\sigma E \Rightarrow \frac{ E }{\rho}=\frac{ E \ell}{ RA }=\frac{10 \times 10 \times \pi}{10 \times 10^{-4} \times \pi}$ $\Rightarrow 10^{5} A / m ^{2}$

SECTION - A [PHYSICS MCQ]

GSEB - English Medium

A copper wire of length $10\,m$ and radius $\left(10^{-2} / \sqrt{\pi}\right) m$ has electrical resistance of $10 \,\Omega$. The current density in the wire for an electric field strength of $10( V / m )$ is :

A$10^{6} A / m ^{2}$
B$10^{-5} A / m ^{2}$
C$10^{5} A / m ^{2}$
D$10^{4} A / m ^{2}$

NEET 2022, Medium

STD 11 Science
JEE
STD 12 - 3. current electricity
Physics

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Download App

Download our appand get started for free

Similar Questions

Download our app
and get started for free