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NEET
Exam
NEET
Subject
Physics
Chapter
Capacitance

NEET · Physics · Capacitance

Assertion (A) Two condensers of same capacity are connected first...

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 4:14: 1. Reason ( RR ) In parallel, capacity increases and in series capacity decreases.

Options

  1. ABoth AA and RR are true and RR is a correct explanation for A\mathrm{A}.
  2. BBoth AA and RR are true but RR is not a correct explanation for A.
  3. CAA is true but RR is false.
  4. DAA is false but RR is true.

Correct answer

B. Both AA and RR are true but RR is not a correct explanation for A.

Step-by-step solution

Given, two capacitors of same capacities CC. In series, equivalent capacitance is given by 1CS=1C1+1C2=1C+1C=2CCS=C2\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 CP=C1+C2=C+C=2CC_P=C_1+C_2=C+C=2 C Ratio =CPCS=2C(C2)=41=\frac{C_P}{C_S}=\frac{2 C}{\left(\frac{C}{2}\right)}=\frac{4}{1} ⇒CP:CS=4:1\Rightarrow \quad C_P: C_S=4: 1 Hence, Assertion is true In parallel, CP>CC_P>C In series, CS<CC_S < C So, in parallel, capacity is increased but in series, capacity is decreased. Hence, Reason is also true, but it is not the correct explanation of Assertion.
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