A resistor R1 is wired to a battery, then resistor R2 is added in series. Are (a) the potential difference across R1 and (b) the current i1 through R1 now more than, less than, or the same as previously? (c) Is the equivalent resistance R12 of R1 and R2 more than, less than, or equal to R1?

Question

Physics

Manuel Strong

13 July, 14:28

A resistor R1 is wired to a battery, then resistor R2 is added in series. Are (a) the potential difference across R1 and (b) the current i1 through R1 now more than, less than, or the same as previously? (c) Is the equivalent resistance R12 of R1 and R2 more than, less than, or equal to R1?

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Wang · Answer 1

a) Earlier emf of cell applied on R₁ but now emf will be distributed among R₁ and R₂

Potential difference on R₁ will become less.

b) Current is inversely proportional to resistance of the circuit. As resistance increases, current will be less. So current through R₁ will become less.

c)

When resistance is added in series, they are added up to obtain equivalent resistance. So equivalent resistance R₁₂ will be more than R₁ OR R₂.