NEETPhysicsCapacitance
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): When two identical capacitors are connected in series across a battery, the total energy stored in the combination is twice the energy that would be stored in a single such capacitor connected across the same battery. Reason (R): In a series combination, the equivalent capacitance decreases, and fo
Options
- ABoth (A) and (R) are true and (R) is the correct explanation of (A)
- BBoth (A) and (R) are true but (R) is not the correct explanation of (A)
- C(A) is true but (R) is false
- D(A) is false but (R) is true
Correct answer
D. (A) is false but (R) is true
Step-by-step solution
For a single capacitor of capacitance C connected across a battery of voltage V , the energy stored is U₀ = 1 2 CV^2 . When two such identical capacitors are connected in series, the equivalent capacitance becomes C_ eq = C 2 . The total energy stored in the series combination across the same battery is U_ series = 1 2 C_ eq V^2 = 1 2 ( C 2 )V^2 = 1 2 U₀ . Thus, the total energy is halved, not doubled. Therefore, the Assertion (A) is false. The energy stored for a given voltage source is U = 1 2 C_ eq V^2 . Since V