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A resistance of $2\,\Omega $ is connected across one gap of a meter-bridge and unknown resistance, greater than $2\,\Omega $ , is connected a cross the other gap. When these resistances are interchanged, the balance point shifts by $20\ cm$ , neglecting any end correction, the unknown resistance is ................ $\Omega$
Two wires of same material have length $L$ and $2L $ and cross-sectional areas $4A$ and $A$ respectively. The ratio of their specific resistance would be
A $5\ V$ battery with internal resistance $2\,\Omega$ and a $2\,V$ battery with internal resistance ln are connected to a $10\,\Omega$ resistor as shown in the figure.
Refer to the circuit shown. What will be the total power dissipation in the circuit if $P$ is the power dissipated in $R_1$ ? It is given that $R_2=4 R_1$ and $R_3=12 R_1$ are .......... $P$
In the fig. shown for given values of $R_1$ and $R_2$ the balance point for jockey is at $40\, cm$ from $A$. When $R_2$ is shunted by a resistance of $10\,\Omega $, balance shifts to $50\, cm. R_1$ and $R_2$ are $(AB = 1\,m)$
A uniform metallic wire of length $L$ is mounted in two configurations. In configuration $1$ (triangle), it is an equilateral triangle and a voltage $V$ is applied to corners $A$ and $B$. In configuration $2$ (circle), it is bent in the form of a circle and the potential $V$ is applied at diametrically opposite points $P$ and $Q$. The ratio of the power dissipated in configuration $1$ to configuration $2$ is
The potentiometer wire $AB$ is $600\,\, cm$ long at what distance from $A$ should the Jockey $J$ touch the wire to get zero deflection in the galvanomenter ................ $\mathrm{cm}$
Six resistors of $3 \;\Omega$ each are connected along the sides of a hexagon and three resistors of $6\; \Omega$ each are connected along $A C, A D$ and $A E$ as shown in the figure. The equivalent resistance between $A$ and $B$ is equal to
In the adjoining circuit, the battery ${E_1}$ has an $e.m.f.$ of $12\,volt$ and zero internal resistance while the battery $E$ has an $e.m.f.$ of $2\,volt$. If the galvanometer $G$ reads zero, then the value of the resistance $X$ in $ohm$ is