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GUJCET · Physics · Current Electricity
You are given 10 resistors each of resistance \(2 \Omega\). First they are connected to obtain possible minimum resistance. Then they are connected to obtain possible maximum resistance. The ratio of maximum and minimum resistance is __________ .
- A 2.5
- B 10
- C 100
- D 25
Answer & Solution
Correct Answer
(C) 100
Step-by-step Solution
Detailed explanation
C
minimum resistance
\(\begin{array}{l} R _{\min }=\frac{ R }{n} \text { (For Parallel connection) } \\ R _{\min }=\frac{2}{10}=0.2 \Omega\end{array}\)
maximum resistance
\(R _{\max }=n R\) (For series connection)
\(=10 \times 2=20 \Omega\)
Now \(\frac{R_{\max }}{R_{\min }}=\frac{20}{0.2}\)
\(\frac{ R _{\max }}{ R _{\min }}=100\)
minimum resistance
\(\begin{array}{l} R _{\min }=\frac{ R }{n} \text { (For Parallel connection) } \\ R _{\min }=\frac{2}{10}=0.2 \Omega\end{array}\)
maximum resistance
\(R _{\max }=n R\) (For series connection)
\(=10 \times 2=20 \Omega\)
Now \(\frac{R_{\max }}{R_{\min }}=\frac{20}{0.2}\)
\(\frac{ R _{\max }}{ R _{\min }}=100\)
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