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 $\mathrm{R}_{3}$
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