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Two identical cells of the same emf and same internal resistance give the same current through an external resistance of 2 Ω, regardless of whether they are connected in series or parallel. The internal resistance of the cell is
  • a)
    0.5 Ω
  • b)
    1 Ω
  • c)
    2 Ω
  • d)
    3 Ω
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two identical cells of the same emf and same internal resistance give ...
Since same current passes through two cells if connected in series or parallel so net emf in series is 2E and in parallel it will be E. net internal resistance in series is 2r and in parallel it is 0.5r.so,
2E/2r+R = E/0.5r+R
on solving we get r=2
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Community Answer
Two identical cells of the same emf and same internal resistance give ...
Assuming the question is incomplete and should read:

"Two identical cells of the same emf and same internal resistance give the same current through an external resistance of 2 ohms. What is the emf of each cell?"

We can use the formula for total resistance in a circuit with two identical cells in parallel:

1/R_total = 1/R_external + 1/(2R_internal)

Since the cells are identical, their internal resistance is the same, so we can simplify:

1/R_total = 1/2 + 1/(2R_internal)

Solving for R_internal:

R_internal = R_external / (1/R_total - 1/2)

Plugging in R_external = 2 ohms and R_total = 1 ohm (since the current is the same through both cells, they effectively act as one cell), we get:

R_internal = 4 ohms

Now we can use the formula for the current through a circuit with one cell and one external resistor:

I = emf / (R_external + R_internal)

Plugging in R_external = 2 ohms, R_internal = 4 ohms, and I = 1 A (since the current is the same through both cells), we get:

1 = emf / (2 + 4)

emf = 6 volts

Therefore, each cell has an emf of 6 volts.
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Two identical cells of the same emf and same internal resistance give the same current through an external resistance of 2 Ω, regardless of whether they are connected in series or parallel. The internal resistance of the cell isa)0.5 Ωb)1 Ωc)2 Ωd)3 ΩCorrect answer is option 'C'. Can you explain this answer?
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