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Question Number 33800 by tawa tawa last updated on 25/Apr/18

Answered by ajfour last updated on 25/Apr/18

I_3 =I_(cell) =((6V)/((((5×4)/(5+4))+3+0.5)))      =(6/(5.72)) ≈ 1.05A  I_5 =(4/9)×1.05 = 0.47A  I_4 =0.58A  V_3 =I_3 ×3 =3.15V  V_(4,5) =I_(cell) ×((20)/9)=1.05×((20)/9)=2.33V  .

$${I}_{\mathrm{3}} ={I}_{{cell}} =\frac{\mathrm{6}{V}}{\left(\frac{\mathrm{5}×\mathrm{4}}{\mathrm{5}+\mathrm{4}}+\mathrm{3}+\mathrm{0}.\mathrm{5}\right)} \\ $$$$\:\:\:\:=\frac{\mathrm{6}}{\mathrm{5}.\mathrm{72}}\:\approx\:\mathrm{1}.\mathrm{05}{A} \\ $$$${I}_{\mathrm{5}} =\frac{\mathrm{4}}{\mathrm{9}}×\mathrm{1}.\mathrm{05}\:=\:\mathrm{0}.\mathrm{47}{A} \\ $$$${I}_{\mathrm{4}} =\mathrm{0}.\mathrm{58}{A} \\ $$$${V}_{\mathrm{3}} ={I}_{\mathrm{3}} ×\mathrm{3}\:=\mathrm{3}.\mathrm{15}{V} \\ $$$${V}_{\mathrm{4},\mathrm{5}} ={I}_{{cell}} ×\frac{\mathrm{20}}{\mathrm{9}}=\mathrm{1}.\mathrm{05}×\frac{\mathrm{20}}{\mathrm{9}}=\mathrm{2}.\mathrm{33}{V}\:\:. \\ $$

Commented by tawa tawa last updated on 25/Apr/18

God bless you sir.

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

Commented by tawa tawa last updated on 25/Apr/18

please sir. why is it   (4/9) × 1.05   amd  please how is  I_4  = 0.58. thanks sir.

$$\mathrm{please}\:\mathrm{sir}.\:\mathrm{why}\:\mathrm{is}\:\mathrm{it}\:\:\:\frac{\mathrm{4}}{\mathrm{9}}\:×\:\mathrm{1}.\mathrm{05}\:\:\:\mathrm{amd}\:\:\mathrm{please}\:\mathrm{how}\:\mathrm{is}\:\:\mathrm{I}_{\mathrm{4}} \:=\:\mathrm{0}.\mathrm{58}.\:\mathrm{thanks}\:\mathrm{sir}. \\ $$

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