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Question Number 151677 by Tawa11 last updated on 22/Aug/21

Answered by Olaf_Thorendsen last updated on 22/Aug/21

R = 1Ω+(1/((1/(3Ω+3Ω))+(1/(3Ω+3Ω))))  R = 1Ω+(1/((1/(6Ω))+(1/(6Ω))))  R = 1Ω+3Ω = 4Ω  I = (V/R) = ((12V)/(4Ω)) = 3A

$$\mathrm{R}\:=\:\mathrm{1}\Omega+\frac{\mathrm{1}}{\frac{\mathrm{1}}{\mathrm{3}\Omega+\mathrm{3}\Omega}+\frac{\mathrm{1}}{\mathrm{3}\Omega+\mathrm{3}\Omega}} \\ $$$$\mathrm{R}\:=\:\mathrm{1}\Omega+\frac{\mathrm{1}}{\frac{\mathrm{1}}{\mathrm{6}\Omega}+\frac{\mathrm{1}}{\mathrm{6}\Omega}} \\ $$$$\mathrm{R}\:=\:\mathrm{1}\Omega+\mathrm{3}\Omega\:=\:\mathrm{4}\Omega \\ $$$$\mathrm{I}\:=\:\frac{\mathrm{V}}{\mathrm{R}}\:=\:\frac{\mathrm{12V}}{\mathrm{4}\Omega}\:=\:\mathrm{3A} \\ $$

Commented by Tawa11 last updated on 22/Aug/21

God bless you sir. I appreciate.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{appreciate}. \\ $$

Commented by Olaf_Thorendsen last updated on 22/Aug/21

It′s funny because we have a  resistance of 3Ω by using four  resistances of 3Ω.  In the real life, only one resistance  of 3Ω is enough to obtain 3Ω.

$$\mathrm{It}'\mathrm{s}\:\mathrm{funny}\:\mathrm{because}\:\mathrm{we}\:\mathrm{have}\:\mathrm{a} \\ $$$$\mathrm{resistance}\:\mathrm{of}\:\mathrm{3}\Omega\:\mathrm{by}\:\mathrm{using}\:\mathrm{four} \\ $$$$\mathrm{resistances}\:\mathrm{of}\:\mathrm{3}\Omega. \\ $$$$\mathrm{In}\:\mathrm{the}\:\mathrm{real}\:\mathrm{life},\:\mathrm{only}\:\mathrm{one}\:\mathrm{resistance} \\ $$$$\mathrm{of}\:\mathrm{3}\Omega\:\mathrm{is}\:\mathrm{enough}\:\mathrm{to}\:\mathrm{obtain}\:\mathrm{3}\Omega. \\ $$

Commented by Tawa11 last updated on 22/Aug/21

Ohh. Thanks sir. I understand better.

$$\mathrm{Ohh}.\:\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{understand}\:\mathrm{better}. \\ $$

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