You are given two batteries of emf values E1 and E2 and internal resistance r1 and r2 respectively. They are connected in series nad parllel as in the diagram. Find an expression for the current in R for the methodo f connection(adsbygoogle = window.adsbygoogle || []).push({});

for the series

[tex] E_{1} - iR - ir_{2} + E_{2} - ir_{1} = 0 [/tex] and then rearrange for i. Is this correct?

for the parallel

Let i1 be the cirrent in the vicinty of the E1 battery. FOr the E2 let the current be i2.

[tex] i = i_{1} + i_{2} [/tex]

going around clockwise in the outermost loop.

[tex] i_{1} r_{1} + E_{1} - iR = 0 [/tex]

[tex] i_{2} r_{2} + E_{2} - iR = 0 [/tex]

is this correct?? DO i simply add the above two equations and isolate for i also using ths relation in the mean time

[tex] i_{1} r_{1} + E_{1} - E_{2} + i_{2} r_{2} = 0 [/tex]

please advise me on my mistakes, if any.

Thank you for your help!

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# Homework Help: Find expression of current in this circuit

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