Question

36. What will be the equivalent resistance of circuit shown in figure between points A and D?
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Answer 1

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• Equivalent Resistance between points “A” and “D” .

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• See the above pic , to clarify the final circuit diagram of this question .

☞ Here , “FB resistor” and “GC resistor” is removed , because we find the equivalent resistance between points “A” and “D” .

☞ Now see the effective circuit diagram in the above figure .

☞ The resistance of “arm EFH” is ,

• arm EFH = “resistor EF” + “resistor FH”
• And these two resistor are connected in series to each other .

• ${(Effective\:Resistance)_1\:=\:10\:ohm\:+\:10\:ohm}$
• $\tt{\implies\:(Effective\:Resistance)_1\:=\:20\:ohm}$

☞ The resistance of “arm EGH” is,

• arm EGH = “resistor EG” + “resistor GH”
• And these two resistor are connected in series to each other .

• ${(Effective\:Resistance)_2\:=\:10\:ohm\:+\:10\:ohm}$
• $\tt{\implies\:(Effective\:Resistance)_2\:=\:20\:ohm}$

☞ Now , Effective Resistance (1) and (2) or “arm EFH” and “arm EGH” are connected in parallel connection . So the Total effective resistance is,

• ${(Effective\:Resistance)_{total}\:=\:{\dfrac{20\times20}{20+20}}}$
• $\tt{\implies\:(Effective\:Resistance)_{total}\:=\:10\:ohm}$

☞ Now, “resistor AE” , “resistor HD” and “total effective resistance” are connected in series .

☞ Therefore, the Equivalent Resistance between points “A” and “D” is ,

• ${Equivalent\:Resistance\:=\:10ohm\:+\:10ohm\:+\:10ohm}$
• $\tt{\implies\:Equivalent\:Resistance\:=\:30\:Ohm}$

$\bigstar\:\underline{\boxed{\bf{\red{Required\:Answer\::\:30\:Ohm\:}}}}\bigstar$