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GUJCET · Physics · Current Electricity
You are give 10 resistors each of resistance \(1 \Omega\) first they are connected to obtain possible minimum resistance. Then they are connected to obtain possible maximum resistance. The ratio of minimum and maximum resistance is ________.
- A \(\frac{1}{100}\)
- B \(\frac{1}{50}\)
- C \(\frac{1}{1000}\)
- D \(\frac{1}{10}\)
Answer & Solution
Correct Answer
(A) \(\frac{1}{100}\)
Step-by-step Solution
Detailed explanation
(A)
\(R _{\min }=\frac{ R }{n}\) (For parallel connection)
\(R _{\min }=\frac{1}{10} \Omega\)
\(R _{\max }=n R\) (For series connection)
\(\begin{array}{l} R _{\max }=10(1) \\ R _{\max }=10 \Omega\end{array}\)
Now \(\frac{R_{\min }}{R_{\max }}=\frac{\frac{1}{10}}{10}=\frac{1}{100}\)
\(R _{\min }=\frac{ R }{n}\) (For parallel connection)
\(R _{\min }=\frac{1}{10} \Omega\)
\(R _{\max }=n R\) (For series connection)
\(\begin{array}{l} R _{\max }=10(1) \\ R _{\max }=10 \Omega\end{array}\)
Now \(\frac{R_{\min }}{R_{\max }}=\frac{\frac{1}{10}}{10}=\frac{1}{100}\)
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