A potentiometer has uniform potential gradient across it. Two cells connected in series $(i)$ to support each other and $(ii)$ to oppose each other are balanced over $6\,m$ and $2\,m$ respectively on the potentiometer wire. The $e.m.f.$’s of the cells are in the ratio of
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A student is provided with a variable voltage source $V$, a test resistor $R_T=10\,\Omega$, two identical galvanometers $G_1$ and $G_2$ and two additional resistors, $R _1=10\,M\,\Omega$ and $R _2=0.001\,\Omega$. For conducting an experiment to verify ohms law, the most suitable circuit is:
The charge flowing in a conductor varies with time as $Q = at -bt^2$. Then for current, which statement is incorrect.
$(A)$ decreases linearly with time
$(B)$ reaches a maximum and then decreases
$(C)$ fall to zero after time $t = a/2b$
$(D)$ changes at a rate $-2b$
Options :
The current density in a cylindrical wire of radius $r=4.0 \,mm$ is $1.0 \times 10^{6} \,A / m ^{2}$. The current through the outer portion of the wire between radial distances $r / 2$ and $r$ is $x \pi A$; where $x$ is ..........
A $100\, V$ voltmeter of internal resistance $20\,k\Omega $ in series with a high resistance $R$ is connected to a $110\, V$ line. The voltmeter reads $5\, V$, the value of $R$ is ................ $k \Omega $
The figure shows a meter-bridge circuit, with $AB = 100\, cm$,$ X = 12\,\Omega$ and $R = 18\,\Omega$ , and the jockey $J$ in the position of balance. If $R$ is now made $8\,\Omega$ , through what distance will $J$ have to be moved to obtain balance? .............. $cm$
$ABCD$ is a square where each side is a uniform wire of resistance $1\,\Omega$ . $A$ point $E$ lies on $CD$ such that if a uniform wire of resistance $1\,\Omega$ is connected across $AE$ and constant potential difference is applied across $A$ and $C$ then $B$ and $E$ are equipotential.
If $400\; \Omega$ of resistance is made by adding four $100\; \Omega$ resistance of tolerance $5 \%$ then the tolerance of the combination is .....$\%$