Why is voltage same in parallel combination of resistors and different in series?

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Why do resistors in series have different potential and a common current and resistors in parallel have different current and a common potential throughout?

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Q. The series of two batteries, both of the same emf

10 V

, but different internal resitance of

20 Ω

and

5 Ω

, is connected to the parallel combination of two resistors

30 Ω

and

R Ω

. The voltage difference across the battery of internal resistance

20 Ω

is zero, the value of

R

(in

Ω

) is

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