A battery of $e.m.f.$ $10\, V$ and internal resistance $3\,\Omega $ is connected to a resistor as shown in the figure. If the current in the circuit is $0.5\, A$. then the resistance of the resistor will be ............. $\Omega$
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A meter bridge set up as shown to determine end correction at $A$ and $B$ . When a resistance of $15\,\Omega $ is used in left gap and of $20\,\Omega $ in right gap, then null point comes at a distance $42\ cm$ from $A$ . When these resistances are interchanged null point comes at a distance $57\ cm$ from $A$ . Values of end corrections are
A current of $2.0$ ampere passes through a cell of $e.m.f$. $1.5\, volts$ having internal resistance of $0.15\, ohm$. The potential difference measured, in $volts$, across both the ends of the cell will be
The equivalent resistance of a group of resistances is $R$. If another resistance is connected in parallel to the group , its new equivalent becomes $R_1$ and if it is connected in series to the group , its new equivalent becomes $R_2$ we have :
In the given circuit ' $a$ ' is an arbitrary constant. The value of $m$ for which the equivalent circuit resistance is minimum, will be $\sqrt{\frac{ x }{2}}$. The value of $x$ is ...........
In figure shows a rectangular block with dimensions $x,\, 2x$ and $4x$. Electrical contacts can be made to the block between opposite pairs of faces (for example, between the faces labelled $A-A, B-B$ and $C-C$). Between which two faces would the maximum electrical resistance be obtained ($A-A$ : Top and bottom faces, $B-B$ : Left and right faces, $C-C$ : Front and rear faces)
Consider an electrical circuit containing a two way switch $^{\prime}{S}^{\prime}$. Initially ${S}$ is open and then ${T}_{1}$ is connected to ${T}_{2} .$ As the current in ${R}=6 \,\Omega$ attains a maximum value of steady state level, ${T}_{1}$ is disconnected from ${T}_{2}$ and immediately connected to ${T}_{3} .$ Potential drop across ${r}=3\, \Omega$ resistor immediately after $T_{1}$ is connected to $T_{3}$ is $....\,V.$ (Round off to the Nearest Integer)