A wire of resistance R is bent to form a square ABCD as shown in the figure. The effective resistance between E and C is :(E  is mid-point of arm CD)

 

  • Option 1)

    R

  • Option 2)

     \frac{7}{64}R

  • Option 3)

    \frac{3}{4}R

  • Option 4)

    \frac{1}{16}R

 

Answers (1)

distribution of Resistance (R) in square ABCD

     

 

     

 

\Rightarrow \frac{1}{Req}=\frac{1}{R/8}+\frac{1}{7R/8}

  \Rightarrow \frac{8}{R}+\frac{8}{7R}

   =\frac{56+8}{7R}

   =\frac{64}{7R}

Req=\frac{7R}{64}  

 

 


Option 1)

R

Option 2)

 \frac{7}{64}R

Option 3)

\frac{3}{4}R

Option 4)

\frac{1}{16}R

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