AP EAMCET · PHYSICS · Capacitance
Assertion (A) Two condensers of same capacity are connected first in parallel and then in series. The ratio of resultant capacities in the two cases will be \(4: 1\).
Reason ( \(R\) ) In parallel, capacity increases and in series capacity decreases.
- A Both \(A\) and \(R\) are true and \(R\) is a correct explanation for \(\mathrm{A}\).
- B Both \(A\) and \(R\) are true but \(R\) is not a correct explanation for A.
- C \(A\) is true but \(R\) is false.
- D \(A\) is false but \(R\) is true.
Answer & Solution
Correct Answer
(B) Both \(A\) and \(R\) are true but \(R\) is not a correct explanation for A.
Step-by-step Solution
Detailed explanation
Given, two capacitors of same capacities \(C\). In series, equivalent capacitance is given by \(\begin{aligned} & \frac{1}{C_S}=\frac{1}{C_1}+\frac{1}{C_2}=\frac{1}{C}+\frac{1}{C}=\frac{2}{C} \\ & C_S=\frac{C}{2}\end{aligned}\) In parallel, equivalent capacitance is given by…
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