RRB Technician 2014 Ques 24

Question: In the network shown in the figure, each of the resistances is equal to $ 2\Omega $ . The resistances between the points A and B is

Options:

A) $ 4,\Omega $

B) $ 3,\Omega $

C) $ 2,\Omega $

D) $ 1,\Omega $

Show Answer

Answer:

Correct Answer: C

Solution:

  • It is a balanced Wheatstone’s bridge. The equivalent circuit is shown in the figure. The diagonal resistance, which is the galvanometer arm in Wheatstone’s bridge becomes ineffective, when the bridge is balanced. $ R _{PCQ}=2+2=4,\Omega $ $ R _{PDQ}=2+2=4,\Omega $ APCQB and APDQB are in parallel. $ R _{AB}=\frac{4\times 4}{4+4}=2\Omega $