Current Electricity Charging Discharging Of Capacitors Question 670

Question: The effective resistance between points P and Q of the electrical circuit shown in the figure is

Options:

A) $ 2Rr/(R+r) $

B) $ 8R(R+r)(3R+r) $

C) $ 2r+4R $

D) $ 5R/2+2r $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] In a circuit, any circuit element placed between points at the same potential can be removed, without affecting the rest of the circuit, here, by symmetry, points A, B and C are at same potential, for any potential difference between P and Q. The circuit can

Therefore be reduced as shown below Effective resistance $ R _{eq}=\frac{2Rr}{R+r}. $