Solve this question
Please
Answers
Disclaimer -
This is the easiest question in this topic :)
Solution -
First observe the given circuit very carefully .
See the first attachment.
I have labelled the image.
Now , let me proceed step by step from the top .
Observe the resistors NQ and OQ carefully.
These resistors are in series .
So , the figure can be simplified as -
See the second attachment .
Now , we can say that -
The resistor NRO is parallel to the resistor NO .
This is in turn parallel to MP .
However , MP has zero resistance .
Thus , the current flows through MP only .
And no current flows through the entire MNQOP part .
Now , for the lower part , the same situation occurs.
No current flows through CEGH and HGFD.
The current directly flows through CD .
The final figure can be simplified as -
See the third attachment ...
Here , the resistors IL and IJKL are parallel .
Thus , the required resistance between I and L -
=> [ R × R ] / [ R + R ]
=> R / 2 .
Now , the resistances AI , IL and LB are In series .
Equivalent resistance -
=> R + R + ( R / 2 )
=> [ 5 R ] / [ 2 ] .
Hence , option C is the correct answer .
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Additional Information -
For solving these types of questions always see how the current will flow first.
Thus will highly simplify the problem .
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