(B) Given: Current $i = 10\, A$,Area $A = 5\, mm^{2} = 5 \times 10^{-6}\, m^{2}$,Drift velocity $v_{d} = 2 \times 10^{-3}\, m/s$,and charge of an elec

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(B) Given: Current $i = 10\, A$,Area $A = 5\, mm^{2} = 5 \times 10^{-6}\, m^{2}$,Drift velocity $v_{d} = 2 \times 10^{-3}\, m/s$,and charge of an electron $e = 1.6 \times 10^{-19}\, C$.We know the relation between current and drift velocity is $i = neAv_{d}$.Rearranging for the number density $n$,we get $n = \frac{i}{eAv_{d}}$.Substituting the values: $n = \frac{10}{1.6 \times 10^{-19} \times 5 \times 10^{-6} \times 2 \times 10^{-3}}$.$n = \frac{10}{16 \times 10^{-28}} = 0.625 \times 10^{28} = 625 \times 10^{25}\, m^{-3}$.

Class 12 Physics Current Electricity Current Density, Drift Velocity and Mobility

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$A$ current of $10\, A$ exists in a wire of cross-sectional area of $5\, mm^{2}$ with a drift velocity of $2 \times 10^{-3}\, m/s$. The number of free electrons in each cubic meter of the wire is ..........

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A
$2 \times 10^{6}$
B
$625 \times 10^{25}$
C
$2 \times 10^{25}$
D
$1 \times 10^{23}$

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Current Electricity

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Current Density, Drift Velocity and Mobility

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$A$ conductor of length $100 \, cm$ and area of cross-section $1 \, mm^2$ carries a current of $5 \, A$. If the resistivity of the material of the conductor is $3.0 \times 10^{-8} \, \Omega \cdot m$, then the electric field across the conductor is (in $ \, V/m$)

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$A$ current of $10\, A$ exists in a wire of cross-sectional area of $5\, mm^{2}$ with a drift velocity of $2 \times 10^{-3}\, m/s$. The number of free electrons in each cubic meter of the wire is ..........

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$A$ charged particle is moving in an electric field of $3 \times 10^{-10} \text{ Vm}^{-1}$ with mobility $2.5 \times 10^6 \text{ m}^2 \text{V}^{-1} \text{s}^{-1}$. Its drift velocity is:

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The quantities that do not change when a resistor connected to a battery is heated due to the current are:
$(A)$ drift speed
$(B)$ resistivity
$(C)$ resistance
$(D)$ number of free electrons