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We have two wires $A$ and $B$ of same mass and same material. The diameter of the wire $A$ is half of that $B$. If the resistance of wire $A$ is $24\, ohm$ then the resistance of wire $B$ will be ................ $Ohm$
In a Wheatstone's bridge, three resistances $P, Q$ and $R$ connected in the three arms and the fourth arm is formed by two resistances $S_1$ and $S_2$ connected in parallel. The condition for the bridge to be balanced will be
The balancing length for a cell is $560 \;\mathrm{cm}$ in a potentiometer experiment. When an external resistance of $10 \;\Omega$ is connected in parallel to the cell, the balancing length changes by $60\; \mathrm{cm} .$ If the internal resistance of the cell is $\frac{\mathrm{N}}{10} \;\Omega,$ where $\mathrm{N}$ is an integer then value of $\mathrm{N}$ is
In the following circuit, bulb rated as $1.5\, V$, $0.45\, W$. If bulbs glows with full intensity then what will be the equivalent resistance between $X$ and $Y$ ............. $\Omega$
A cell of $emf\;4\,V$ and internal resistance $0.5\,\Omega$ is connected to a $7.5\,\Omega$ external resistance. The terminal potential difference of the cell is $.....\,V$.
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
In hydrogen atom, the electron makes $6.6 \times {10^{15}}$ revolutions per second around the nucleus in an orbit of radius $0.5 \times {10^{ - 10}}\,m$. It is equivalent to a current nearly
The current $i_1$ and $i_2$ through the resistors $R_1(=10\,\Omega )$ and ${R_2}\left( { = 30\,\Omega } \right)$ in the circuit diagram with $E_1 = 3\,V$, $E_2 = 3\,V$ and $E_3 = 2\,V$ are respectively