Current Electricity Charging Discharging Of Capacitors Question 706
Question: In Fig. find the value of resistor to be connected between C and D, so that the resistance of the entire circuit between A and B does not change with the number of elementary seta.
Options:
A) $ R $
B) $ R( \sqrt{3}-1 ) $
C) $ 3R $
D) $ R( \sqrt{3}+1 ) $
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Let the resistor to be connected across CD be x. Then the equivalent resistance across EF should be x and also across AB should be x. So we get $ \frac{( 2R+x )R}{3R+x}=x $ Solve to get $ x=( \sqrt{3}-1 )R $ s