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Suppose You Have Three Resistors of 20 ω, 50 ω and 100 ω. What Minimum and Maximum Resistance Can You Obtain from These Resistors? - Physics

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प्रश्न

Suppose you have three resistors of 20 Ω, 50 Ω and 100 Ω. What minimum and maximum resistance can you obtain from these resistors?

योग

उत्तर

We can obtain maximum resistance when all the resistors are connected in series.

So, maximum resistance,

\[R_\max  = \left( 20 + 50 + 100 \right)  \Omega = 170  \Omega\]

The minimum resistance will be obtained when all the resistors are connected in parallel

So, minimum resistance,

\[R_\min  = \frac{1}{\frac{1}{20} + \frac{1}{50} + \frac{1}{100}} = \frac{100}{8} = 12 . 5  \Omega\]

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अध्याय 10: Electric Current in Conductors - Exercises [पृष्ठ १९९]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 10 Electric Current in Conductors
Exercises | Q 26 | पृष्ठ १९९

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