Potential difference across resistor

Electricity and Magnetism Level 2

Two resistors of resistance 2 R 2 \text{ R} and 3 R 3 \text{ R} are connected in series with a battery which has an emf of E \text{E} and an internal resistance of R \text{R} . What is the potential difference across the resistor of resistance 2 R 2 \text{R} ?

2E 2E/5 E/2 E/3

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Srinivasa Satti by Srinivasa Satti

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2 solutions

Dharma Teja
Jun 4, 2014

total resistance is 2R+3R+R=6R and total current is E/6R. as the resistances are in sereis the curesnt will be same through all so voltage across resistance 2Ris 2R*E/6R which is equal to E/3R

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Chew-Seong Cheong
Aug 20, 2014

The potential difference across 2 R 2R resistor is V = 2 R R + 2 R + 3 R E = E 3 V=\cfrac{2R}{R+2R+3R}E = \cfrac{E}{3} .

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