Shown in the figure below right are the potential differences across four resist

Question

Shown in the figure below right are the potential differences across four resistors in a series circuit. If the two batteries are identical, what are their potential differences and how do you know? How does the current through resistor A compare to that through resistor D and why? Now the same resistors and batteries are connected as shown in the diagram at the right. How will the potential differences across the four resistors compare and why? How will the currents in the resistors compare and why?

Explanation / Answer

1. let the potential difference of the batteries be V ( they are identical)
Now taking care of the polarity and applyinf kirchoff's loop law, we get
V = 6 - V + 3 + 7 + 2
V = 9 V

2. AS the circuit is in series, the current through the whole circuit remains constant so I through A and D is the same

3. AS ll the resistors and btteries are in parallel, the V across each element would be the same
4. V = IR
as V is same for all elements in parallel circuit,. I would be inversly proportional to the resistance of the element

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