Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

The ratio of maximum to minimum resistance of 'n' resistors each of resistance R is given by:

Options:

$n^2$

$R^2$

$n$

$\frac{R}{n}$

Correct Answer:

$n^2$

Explanation:

The correct answer is Option (1) → $n^2$

Case I: When all n-resistor are connected in series

$R_{series}=r+r+r+....(n\,times)$

$=rn$ [Series]

Case I: When all n-resistor are connected in parallel

$R_{parallel}=\frac{r}{n}$

$∴\frac{R_{series}}{R_{parallel}}=\frac{rn}{\frac{r}{n}}=n^2$