Three similar cells each of e.m.f 2 v and internal resistance 2Ω are connected in parallel, the total e.m.f and total internal resistance are respectively

a

6 v, 6.0Ω

b

2 v, 0.7Ω

c

2 v, 6.0Ω

d

6 v, 0.7Ω

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Correct Option
b

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Zoe_ViVi
1 year ago

When cells are connected in parallel, the total e.m.f (electromotive force) remains the same as the e.m.f of one cell, since the voltage across each branch of a parallel circuit is the same.
Then, total e.m.f = 2 V
For cells connected in parallel, the total internal resistance (R_total) is given by the formula:
1/R_total = 1/R1 + 1/R2 + 1/R3 + ...
Given each cell has an internal resistance of 2Ω, that means
1/R_total = 1/2 + 1/2 + 1/2 = 3/2
R_total = 2/3
≈ 0.67Ω
Rounding to one decimal place as seen in the options, it's approximately 0.7Ω.
The correct answer is
B. 2 V, 0.7Ω

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