Current Electricity Charging Discharging Of Capacitors Question 701
Question: A wire has linear resistance $ \rho $ (in Ohm/m). Find the resistance R between points A and B if the side of the larger square is ’d'.
Options:
A) $ \rho d/\sqrt{2} $
B) $ \sqrt{2}\rho d $
C) $ 2rd $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Let each half side has resistance $ r( =\rho d/2 ) $
$ \
Therefore R=\frac{1}{2}[ 2r+\frac{( 2r )( r\sqrt{2} )}{( 2+\sqrt{2} )r} ]=r\sqrt{2} $ (on solving)
$ \
Therefore R=\rho d/\sqrt{2} $
BETA
