Physics-
General
Easy

Question

The equivalent resistance across A and B is

  1. 2capital omega    
  2. 3capital omega    
  3. 4capital omega    
  4. 5capital omega    

The correct answer is: 4capital omega


    The equivalent circuit can be redrawn as

    we have, fraction numerator P over denominator Q end fraction equals fraction numerator R over denominator S end fraction
    i e comma blank fraction numerator 4 over denominator 4 end fraction equals fraction numerator 4 over denominator 4 end fraction
    So, the given circuit is a balanced Wheatstone’s bridge.
    Hence, the equivalent resistance
    R subscript A B end subscript equals fraction numerator open parentheses 4 plus 4 close parentheses cross times open parentheses 4 plus 4 close parentheses over denominator open parentheses 4 plus 4 close parentheses plus open parentheses 4 plus 4 close parentheses end fraction
    equals fraction numerator 8 cross times 8 over denominator 8 plus 8 end fraction equals fraction numerator 64 over denominator 16 end fraction equals 4 capital omega

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