Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202123 Aug 2021Evening ShiftPhysicsCapacitanceActual

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

  1. ABoth A and R are true and R is a correct explanation for A .
  2. BBoth A and R are true but R is not a correct explanation for A.
  3. CA is true but R is false.
  4. 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.

Practice Capacitance on Quantrex Academy →

More from Capacitance

A capacitor of capacitance 8 F is fully charged by connecting it to a source of 200V. It is then disconnected from the supply and connected to an uncharged capacitor of capacitance 2026What is the charge on 15 F in the circuit given? 2026A parallel plate capacitor has a uniform electric field ' E ' in the space between the plates. If the distance between the plates is ' d ' and area of each plate is ' A ', the ener 2026In the circuit shown in the figure, the potential difference across the 4 F capacitor is 2026A parallel plate air capacitor having area of each plate ' A ' and the distance between the plates ' d ' has uniform electric field E in the space between the plates. The energy st 2026In a parallel plate air capacitor of plate separation ' d ', a dielectric slab of thickness ' t ' is introduced between the plates. The capacitance becomes one-third of the origina 2026A parallel plate air capacitor has capacity 'C' farad, potential 'V' volt and energy 'E' joule. When the gap between the plates is completely filled with dielectric 2026In an oscillating LC circuit the maximum charge on the capacitor is Q. When the energy is stored equally between the electric and magnetic fields, the charge on the capacitor (q) i 2026 Full Capacitance list All AP EAMCET PYQs