Current Electricity Charging Discharging Of Capacitors Question 741

Question: The resistances in the two arms of the meter bridge are $ 5\Omega $ and $ R\Omega $ , respectively. When the resistance R is shunted with an equal resistance, the new balance point is at $ 1.6l _{1}. $ The resistance R is:

Options:

A) $ 10\Omega $

B) $ 15\Omega $

C) $ 20\Omega $

D) $ 25\Omega $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] This is a balanced Wheatstone bridge condition, $ \frac{5}{R}=\frac{{\ell _{1}}}{100-{\ell _{1}}}\text{ and }\frac{5}{R/2}=\frac{1.6{\ell _{1}}}{100-1.6{\ell _{1}}} $
$ \Rightarrow R=15\Omega $