Show steps Please!! 2. Lea & Burke 26.59 A circuit consists of three identical i

Question

Show steps Please!!

2. Lea & Burke 26.59 A circuit consists of three identical ideal batteries, each with voltage V, and three identical resistors, each with resistance R. They are arranged in four parallel branches as follows: the top branch contains one battery with the positive terminal pointing to the left, the middle branches each contain one battery, positive terminal pointing left, in series with a resistor on the right, and the bottom branch contains one resistor. Find the current through each branch as a function of V and R. Itop = Imidtop = Imidbot = Ibottom =

Explanation / Answer

the bottom branch contains one resistor.

It is connected to the top branch which contains one battery.

The p.d across this resistor is V .
Current Ib = V/R

Considering the third and bottom branch , these form a loop and

V = Im*R + Ib*R = Im*R + V
Im = 0

Hence I top = V/R

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