MCQ
The equivalent resistance between ends $A$ and $B$ is
- AGreater than $\frac{{{R_{1\,}}\, + \,{R_2}}}{2}$
- BLess than $\frac{{2{R_1}{R_2}}}{{{R_{1\,}}\, + \,{R_2}}}$
- CEqual to $R_3$
- ✓Depends on $R_1, R_2$ and $R_3$
✓
Answer
Correct option: D.
Depends on $R_1, R_2$ and $R_3$
d
$\frac{2 \mathrm{R}_{1} \mathrm{R}_{2}}{\mathrm{R}_{1}+\mathrm{R}_{2}} \leq \mathrm{R}_{\mathrm{AB}} \leq \frac{\mathrm{R}_{1}+\mathrm{R}_{2}}{2}$
$\frac{2 \mathrm{R}_{1} \mathrm{R}_{2}}{\mathrm{R}_{1}+\mathrm{R}_{2}} \leq \mathrm{R}_{\mathrm{AB}} \leq \frac{\mathrm{R}_{1}+\mathrm{R}_{2}}{2}$
Also $\mathrm{R}_{\mathrm{AB}}$ depends upon $\mathrm{R}_{1}, \mathrm{R}_{2}$ and $\mathrm{R}_{3}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A disc of mass $M$ and radius $R$ rolls in a horizontal surface and then rolls up an inclined plane as shown in the fig. If the velocity of the disc is $v$, the height to which the disc will rise will be..
→The beam of light has three wavelengths $4144 \,\mathring A$, $4972 \;\mathring A$ and $6216\; \mathring A$ with a total intensity of $3.6 \times$ $10^{-5}\,Wm ^2$ equally distributed amongst the three wavelengths. The beam falls normally on the area $1\,cm ^2$ of a clean metallic surface of work function $2.3\,eV$. Assume that there is no loss of light by reflection and that each energetically capable photon ejects one electron. Calculate the number of photoelectrons liberated in $2\,s$.
→Potentiometer wire of length $1 \,m$ is connected in series with $490\,\Omega $ resistance and $2\,V$ battery. If $0.2\, mV/cm $ is the potential gradient, then resistance of the potentiometer wire is ................ $\Omega$
→Two bar magnets with magnetic moments $ 2 M $ and $M$ are fastened together at right angles to each other at their centres to form a crossed system, which can rotate freely about a vertical axis through the centre. The crossed system sets in earth’s magnetic field with magnet having magnetic moment $2M $ making and angle $ \theta $ with the magnetic meridian such that
→Three identical resistors $R_1=R_2=R_3$ are connected as shown to a battery of constant e.m.f. The power dissipated is ...........
→A torch bulb rated as $4.5\, W$, $1.5\, V$ is connected as shown in the figure. The $e.m.f.$ of the cell needed to make the bulb glow at full intensity is ................ $V$
→A heat engine is involved with exchange of heat of $1915\, J,$ $-40\, J ,+125\, J$ and $-Q\,J$, during one cycle achieving an efficiency of $50.0 \%$. The value of $Q$ is.......$J$
→Two identical uniform rectangular blocks (with longest side $L$ ) and a solid sphere of radius $R$ are to be balanced at the edge of a heavy table such that the centre of the sphere remains at the maximum possible horizontal distance from the vertical edge of the table without toppling as indicated in the figure. If the mass of each block is $M$ and of the sphere is $M / 2$, then the maximum distance $x$ that can be achieved is
→The percentage errors in the measurement of mass and speed are $2\%$ and $3\%$ respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed ......... $\%$
→The adjoining figure shows two bulbs $B_1$ and $B_2$ resistor $R$ and an inductor $L$ When the switch $S$ is turned off
→