Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
Five equal resistances each of value R are connected in a form shown. The equivalent resistance of the network (1) between the points B and D is\[\frac{R}{2}\] (2) between the points A and C is R (3) between the points B and D is R (4) between the points A and C is \[\frac{R}{2}\]A) 1, 2 and 3 are correct.
B) 1 and 2 are correct.
C) 2 and 4 are correct.
D) 1 and 3 are correct.
Correct Answer: B
Solution :
\[\frac{1}{{{R}_{BD}}}=\frac{1}{2R}+\frac{1}{R}+\frac{1}{2R}\] \[\Rightarrow \] \[{{R}_{BD}}=\frac{R}{2}\] Between A and C circuit becomes equivalent to balanced Wheatstone bridge, so\[{{R}_{AC}}=R\]You need to login to perform this action.
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