NEETPhysicsCapacitance
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.
Options
- ABoth A and R are true and R is a correct explanation for A .
- BBoth A and R are true but R is not a correct explanation for A.
- CA is true but R is false.
- DA is false but R is true.
Correct answer
B. Both A and R are true but R is not a correct explanation for A.
Step-by-step solution
Given, two capacitors of same capacities C . In series, equivalent capacitance is given by aligned & 1 C_S = 1 C₁ + 1 C₂ = 1 C + 1 C = 2 C & C_S= C 2 aligned In parallel, equivalent capacitance is given by C_P=C₁+C₂=C+C=2 C Ratio = C_P C_S = 2 C ( C 2 ) = 4 1 C_P: C_S=4: 1 Hence, Assertion is true In parallel, C_P>C In series, C_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.