Five identical cells each of internal resistance 1   Ω and emf 5   V are connected in series…

Five identical cells each of internal resistance 1 Ω and emf 5 V are connected in series and in parallel with an external resistance R. For what value of R, current in series and parallel combination will remain the same?
  1. 1 Ω
  2. 5 Ω
  3. 25 Ω
  4. 10 Ω

Solution

i1=5εR+5r   ...1

 

I2=εR+r5   ...2

From equation 1 and 2

i1=i2

5εR+5r=εR+r5⇒R=r=1Ω

Asked in: JEE Main 2021 (27 Aug Shift 1)

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