NEET-XII-Physics
32: Electric Current in Conductors
- #26Suppose you have three resistors of 20 Ω, 50 Ω and 100 Ω. What minimum and maximum resistance can you obtain from these resistors?Ans : We can obtain maximum resistance when all the resistors are connected in series.
So, maximum resistance,
`` {R}_{\,\mathrm{\,max\,}}=\left(20+50+100\right)\,\mathrm{\,\Omega \,}=170\,\mathrm{\,\Omega \,}``
The minimum resistance will be obtained when all the resistors are connected in parallel
So, minimum resistance,
`` {R}_{\,\mathrm{\,min\,}}=\frac{1}{{\displaystyle \frac{1}{20}}+{\displaystyle \frac{1}{50}}+{\displaystyle \frac{1}{100}}}=\frac{100}{8}=12.5\,\mathrm{\,\Omega \,}``
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