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Question Number 146233 by tabata last updated on 12/Jul/21

Commented by tabata last updated on 12/Jul/21

From the figure ,calculate     (1) the electric potential difference between A and B    (2) the electromotive force

$${From}\:{the}\:{figure}\:,{calculate}\: \\ $$$$ \\ $$$$\left(\mathrm{1}\right)\:{the}\:{electric}\:{potential}\:{difference}\:{between}\:{A}\:{and}\:{B} \\ $$$$ \\ $$$$\left(\mathrm{2}\right)\:{the}\:{electromotive}\:{force} \\ $$

Answered by Olaf_Thorendsen last updated on 12/Jul/21

1)  U_(AB)  = V_A −V_B   U_(AB)  = 4A×2Ω+3A×4Ω+14V+4A×1Ω  U_(AB)  = 8V+12V+14V+4V  U_(AB)  = 38V    2)  3A×4Ω = −V_B +(4A−3A)×1Ω  12V = −V_B +1V  V_B  = −11V

$$\left.\mathrm{1}\right) \\ $$$$\mathrm{U}_{\mathrm{AB}} \:=\:\mathrm{V}_{\mathrm{A}} −\mathrm{V}_{\mathrm{B}} \\ $$$$\mathrm{U}_{\mathrm{AB}} \:=\:\mathrm{4A}×\mathrm{2}\Omega+\mathrm{3A}×\mathrm{4}\Omega+\mathrm{14V}+\mathrm{4A}×\mathrm{1}\Omega \\ $$$$\mathrm{U}_{\mathrm{AB}} \:=\:\mathrm{8V}+\mathrm{12V}+\mathrm{14V}+\mathrm{4V} \\ $$$$\mathrm{U}_{\mathrm{AB}} \:=\:\mathrm{38V} \\ $$$$ \\ $$$$\left.\mathrm{2}\right) \\ $$$$\mathrm{3A}×\mathrm{4}\Omega\:=\:−\mathrm{V}_{\mathrm{B}} +\left(\mathrm{4A}−\mathrm{3A}\right)×\mathrm{1}\Omega \\ $$$$\mathrm{12V}\:=\:−\mathrm{V}_{\mathrm{B}} +\mathrm{1V} \\ $$$$\mathrm{V}_{\mathrm{B}} \:=\:−\mathrm{11V} \\ $$$$ \\ $$

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