There is a current of $20$ amperes in a copper wire of ${10^{ - 6}}$ square meter area of cross-section. If the number of free electrons per cubic meter is ${10^{29}}$, then the drift velocity is
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The current density is a solid cylindrical wire of radius $R ,$ as a function of radial distance $r$ is given by $J ( r )= J _{0}\left(1-\frac{ r }{ R }\right) .$ The total current in the radial region $r =0$ to $r =\frac{ R }{4}$ will be
A current of $6\, A$ enters one corner $P$ of an equilateral triangle $PQR$ having $3$ wires of resistance $2 \,\Omega$ each and leaves by the corner $R$. The currents $i_{1}$ in ampere is ........ .
A series combination of two resistors $1\,\Omega $ each is connected to a $12\,V$ battery of internal resistance $0.4\,\Omega $. The current flowing through it will be ............... $A$
Two cylindrical rods of uniform crosssection area $A$ and $2A$, having free electrons per unit volume $2n$ and $n$ respectively are joined in series. A current $I$ flows through them in steady state. Then the ratio of drift velocity of free electron in left rod to drift velocity of electron in the right rod is $\left( {\frac{{{v_L}}}{{{v_R}}}} \right)$
A current of $0.1 \,A$ flows through a $25 \,\Omega$ resistor represented by the circuit diagram. The current in $80 \,\Omega$ resistor is ........... $A$