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
NEET
STD 12 - 3. current electricity
Physics

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