A copper rod of cross-sectional area A carrie | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The volume charge density $\rho$ is defined as the total charge $q$ per unit volume $V$. For a rod of length $d$ and cross-sectional area $A$,the

Vedclass · Accepted Answer

$\frac{\rho dA}{I}$

Vedclass · Answer

(C) The volume charge density $\rho$ is defined as the total charge $q$ per unit volume $V$. For a rod of length $d$ and cross-sectional area $A$,the volume is $V = A d$.Thus,$\rho = \frac{q}{V} = \frac{q}{A d}$,which implies $q = \rho A d$.Since current $I$ is defined as the rate of flow of charge,$I = \frac{q}{t}$,where $t$ is the time taken for the charge $q$ to pass through a cross-section.Rearranging for time $t$,we get $t = \frac{q}{I}$.Substituting the expression for $q$,we get $t = \frac{\rho A d}{I}$.

$A$ copper rod of cross-sectional area $A$ carries a uniform current $I$ through it. At temperature $T$,if the volume charge density of the rod is $\rho$,how long will the charges take to travel a distance $d$?

Similar Questions

The electric current through a wire varies with time as $I = I_0 + \beta t$,where $I_0 = 20 \ A$ and $\beta = 3 \ A/s$. The amount of electric charge that crosses through a section of the wire in $20 \ s$ is: (in $C$)

$A$ current of $1\, mA$ is flowing through a copper wire. How many electrons will pass a given point in one second?

Define electric current and explain it. Write its $SI$ unit.

“In lightning in the sky,there is a steady flow of charge”. -True or False?

Define electric current when there is no steady flow of charge.

Vedclass Test Series

Exam Paper Generator

Online Exam Module