In this circuit, assume that all batteries are ideal and that all bulbs are iden

Question

In this circuit, assume that all batteries are ideal and that all bulbs are identical and have fixed resistances of R.
Is the potential difference between points 1 and 2 greater than, less than, or equal to the potential difference between points 3 and 5?

In this circuit, assume that all batteries are ideal and that all bulbs are identical and have fixed resistances of R Is the potential difference between points 1 and 2 greater than, less than, or equal to the potential difference between points 3 and 5? 2 5

Explanation / Answer

Given that R is the resistance of each of the bulb.

Equivalent resistance across points 3 and 5 is –

R35 = (2R*R) / (2R + R) = 0.67*R

Now suppose I is the current through the battery.

So, potential difference across the point 1 and 2 = I*R

and potential difference across the points 3 and 5 = I*0.67R = 0.67(I*R)

therefore, potential difference across points 1 and 2 is greater than the potential difference between the points 3 and 5.

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