First slide

Resistors

Question

What are the maximum and minimum values of unknown resistance $X$ , which can be determined using the post office box shown in the below figure?

Moderate

A

$1111 k Ω a n d 0.01 Ω$
B

$1001 k Ω a n d 0.01 Ω$
C

$1101 k Ω a n d 0.01 Ω$
D

$1000 k Ω a n d 0.01 Ω$

Solution

$X = \frac{Q R}{P}$
$X_{\max} = \frac{Q_{\max} R_{\max}}{P_{\min}}$
$= \frac{1000}{10} (11110)$
$= 1111 k Ω$
$X_{\min} = \frac{Q_{\min} R_{\min}}{P_{\max}}$
$= \frac{(10) (1)}{1000}$
$= 0.01 Ω$

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