Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →
Sign in

Capacitor question

2007 · Shift 0 · Q78
Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.
  1. PYQ Library
  2. /JEE Main
  3. /Physics
  4. /Capacitor
  5. /2007 · Shift 0 · Q78

Capacitor question

2007 · Shift 0 · Q78

JEE MainPhysicsCapacitorMCQ+4 / −1
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be
  1. A
    1/21/21/2
  2. B
    111
  3. C
    222
  4. D
    1/41/41/4
View written solutionFree

Correct answer: A

  1. Given: A battery of emf VVV charges a capacitor of capacitance CCC until the capacitor potential difference becomes VVV.

  2. Charge stored on the capacitor: Q=CVQ = CVQ=CV

  3. Energy stored in the capacitor: U=12CV2U = \frac{1}{2}CV^2U=21​CV2

  4. Work done by the battery: The battery moves total charge QQQ through potential difference VVV, so W=VQ=V(CV)=CV2W = VQ = V(CV) = CV^2W=VQ=V(CV)=CV2

  5. Required ratio: Energy stored in capacitorWork done by battery=UW=12CV2CV2=12\frac{\text{Energy stored in capacitor}}{\text{Work done by battery}} = \frac{U}{W} = \frac{\frac{1}{2}CV^2}{CV^2} = \frac{1}{2}Work done by batteryEnergy stored in capacitor​=WU​=CV221​CV2​=21​

  6. Option check:

    • A: 12\frac{1}{2}21​ ✅
    • B: 111 ❌
    • C: 222 ❌
    • D: 14\frac{1}{4}41​ ❌

So, the correct answer is A.

The remaining half of the work done by the battery is dissipated as heat in the circuit during charging.

PreviousNext

More from Capacitor

  • A parallel plate condenser with a dielectric of dielectric constant K between the plates has a capacity C and is charged to a potential V volt. The dielectric slab is slowly removed from between the plates and then reinserted. The…2007 · MCQ
  • A parallel plate capacitor is made by stacking n equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is ′C′ then the resultant capacitance is2005 · MCQ
  • A fully charged capacitor has a capacitance ′C′. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ′s′ and mass ′m′. If the temperature of the block is raised…2005 · MCQ
  • A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor2003 · MCQ
  • The work done in placing a charge of 8×10−18 coulomb on a condenser of capacity 100 micro-farad is2003 · MCQ
  • Capacitance (in F) of a spherical conductor with radius 1m is2002 · MCQ
  • If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to2002 · MCQ
  • A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants ε1​ and ε2​, as shown in figures. The distance between the plates is d and area of each plate is A. If capacitance… Includes diagram2025 · MCQ