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 ) $

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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