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

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

Similar Questions

1
In the following circuit composed of identical resistors, across which terminals would you connect a battery in order to dissipate energy in all resistors
View Solution
2
When a current of $2\,A$ flows in a battery from negative to positive terminal, the potential difference across it is $12\,V$. If a current of $3\,A$ flows in the opposite direction potential difference across the terminals of the battery is $15\,V$, the emf of the battery is ............... $\mathrm{V}$
View Solution
3
At room temperature $\left(27^{\circ} \mathrm{C}\right)$, the resistance of a heating element is $50 \Omega$. The temperature coefficient of the material is $2.4 \times 10^{-4}{ }^{\circ} \mathrm{C}^1$. The temperature of the element, when its resistance is $62 \Omega$, is $\qquad$ ${ }^{\circ} \mathrm{C}$.
View Solution
4
Thirteen resistances each of resistance $R\, ohm$ are connected in the circuit as shown in the figure below. The effective resistance between $A$ and $B$ is
View Solution
5
$1.6\, mA$ current is flowing in conducting wire then the number of electrons flowing per second is
View Solution
6
For a cell of $e.m.f.$ $2\,V$, a balance is obtained for $50\, cm$ of the potentiometer wire. If the cell is shunted by a $2\,\Omega $ resistor and the balance is obtained across $40\, cm$ of the wire, then the internal resistance of the cell is ............. $\Omega $
View Solution
7
The energy consumed in $1\, Kwatt$ electric heater in $30$ seconds will be
View Solution
8
$A$ battery is of $\mathrm{emf}$ $E$ is being charged from a charger such that positive terminal of the battery is connected to terminal $A$ of charger and negative terminal of the battery is connected to terminal $B$ of charger. The internal resistance of the battery is $r$.
View Solution
9
In the circuit diagram shown below, the magnitude and direction of the flow of current respectively would be
View Solution
10
If in the experiment of Wheatstone's bridge, the positions of cells and galvanometer are interchanged, then balance points will
View Solution

Download our appand get started for free

Similar Questions

Download our app
and get started for free