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Two non-ideal batteries are connected in parallel. Consider the following statements.
(i)The equivalent emf is smaller than either of the two emfs.
(ii)The equivalent internal resistance is smaller than either of the two internal resistances.
  • a)
    Both (i) and (ii) are correct
  • b)
    (i) is correct but (ii) is wrong
  • c)
    (ii) is correct but (i) is wrong
  • d)
    Both (i) and (ii) are wrong
Correct answer is option 'C'. Can you explain this answer?
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Two non-ideal batteries are connected in parallel. Consider the follow...
Explanation:
When two non-ideal batteries are connected in parallel, the following happens:

Equivalent EMF:
The equivalent EMF is given by the formula:
E_eq = (E1 * r2 + E2 * r1) / (r1 + r2)
where E1 and E2 are the EMFs of the two batteries, and r1 and r2 are their internal resistances.
From the above formula, we can see that the equivalent EMF is always greater than the smaller of the two EMFs and smaller than the larger of the two EMFs. Therefore, statement (i) is incorrect.

Equivalent Internal Resistance:
The equivalent internal resistance is given by the formula:
r_eq = (r1 * r2) / (r1 + r2)
From the above formula, we can see that the equivalent internal resistance is always smaller than either of the two internal resistances. Therefore, statement (ii) is correct.

Hence, the correct answer is option (c) - (ii) is correct but (i) is wrong.
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Two non-ideal batteries are connected in parallel. Consider the follow...
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Two non-ideal batteries are connected in parallel. Consider the following statements.(i)The equivalent emf is smaller than either of the two emfs.(ii)The equivalent internal resistance is smaller than either of the two internal resistances.a)Both (i) and (ii) are correctb)(i) is correct but (ii) is wrongc)(ii) is correct but (i) is wrongd)Both (i) and (ii) are wrongCorrect answer is option 'C'. Can you explain this answer?
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