Question

If the total number of given circuit is 20ohme then calculate the resistance of a circuits and current flowing through circuit
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Answer 1

Equivalent resistance = 20 ohm

Also, equivalent resistance = resistances in parallel

=> R ( series ) = 25 + 75

= 100 ohm .........( 1 )

Also, R ( series ) = 10 + x ohm .........( 2 )

Adding ( 1 ) and ( 2 )

$\binom{1}{100} + \binom{1}{10 + x} = \binom{1}{20} \\ \binom{10 + x + 100}{100(10 + x)} = \binom{1}{20} \\ \binom{110 + x}{1000 + 100x} = \binom{1}{20} \\ 20(110 + x) = 1000 + 100x \\ 2200 + 20x = 1000 + 100x \\ 1200 = 80x \\ x = \binom{1200}{80} \\ x = \binom{120}{8} \\ x = 15$

Resistance = 15 ohm

Also, by using ohm's law

V = IR

6 = I × 20

=> I = 3 / 10 A