JEE Main & Advanced / Physics / Chapter 18

Capacitance

Master storage of electric energy through capacitors, combinations, dielectrics, and charging logic in the compact style JEE expects.

Original Notes2 Core SectionsJEE Revision Style
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JEE Intro

How to Think About Capacitance

Master storage of electric energy through capacitors, combinations, dielectrics, and charging logic in the compact style JEE expects.

This chapter is written as original Learn at My Place teaching copy. The aim is to give you the JEE decision-making layer: what equation to trust, what approximation is valid, and where exam traps usually appear.

Read the full note once, then revisit the quick revision block before solving your own practice questions.

Problem Method

How to Solve Capacitance Questions

1. Model the Situation

Draw the body, path, field, graph, or interaction first. Label known quantities and choose sign convention before writing equations.

2. Pick the Governing Law

Decide whether the problem is about conservation, force balance, energy, momentum, fields, or graph interpretation.

3. Check the Edge Case

Verify units, limiting values, direction, and whether approximation assumptions are valid for JEE Main and Advanced options.

Section A

Notes: Capacitance

Original teaching copy for Learn at My Place

1. Capacitance and Capacitor Geometry

Capacitance is defined as:

C=QVC = \frac{Q}{V}
It depends on geometry and medium, not on the instantaneous charge alone.

For a parallel-plate capacitor:

C=ε0AdC = \frac{\varepsilon_0A}{d}
Increase area to increase capacitance; increase separation to decrease it.

2. Combination, Dielectric, and Stored Energy

Capacitors in parallel add directly, while in series their reciprocals add. Dielectric insertion generally increases capacitance because the effective permittivity increases.

Energy stored in a capacitor can be written as:

U=12CV2=12QV=Q22CU = \frac12 CV^2 = \frac12 QV = \frac{Q^2}{2C}
Use the form that matches the quantity held constant in the problem.

Quick Revision

Last 5-Minute Recall

JEE exam rule: First identify the governing principle. Most errors happen because students choose the wrong framework before they start the algebra.
Definition of capacitance
Parallel-plate capacitor formula
Series and parallel combinations
Energy stored and dielectric effect
Verified question bank

Capacitance questions with answers

Open any of these 99 quality-checked JEE questions to review all four options, the correct answer, and the worked explanation.

  1. Question 1 · EasyDefinition
  2. Question 2 · EasyUnit
  3. Question 3 · EasyIsolated Sphere
  4. Question 4 · EasyParallel Plate – Basic
  5. Question 5 · EasyEffect of Separation
  6. Question 6 · EasyEffect of Area
  7. Question 7 · MediumElectric Field Inside
  8. Question 8 · MediumCharge on Plates
  9. Question 9 · MediumVoltage from Charge
  10. Question 10 · MediumSurface Charge Density
  11. Question 11 · MediumFringing Fields
  12. Question 12 · MediumSpherical Capacitor
  13. Question 13 · MediumCylindrical Capacitor
  14. Question 14 · HardSelf-Capacitance of Earth
  15. Question 15 · HardGuard Ring
  16. Question 16 · HardPlate Geometry Effect
  17. Question 17 · HardDielectric Introduction
  18. Question 18 · HardEnergy With Dielectric – Isolated
  19. Question 19 · MediumCapacitance vs Resistance
  20. Question 20 · MediumVariable Capacitor
  21. Question 21 · EasyParallel Combination
  22. Question 22 · EasySeries Combination
  23. Question 23 · EasyCommon Voltage
  24. Question 24 · EasySeries Charge
  25. Question 25 · EasyEnergy Formula
  26. Question 26 · MediumCharge Redistribution
  27. Question 27 · MediumEnergy Loss on Redistribution
  28. Question 28 · MediumVoltage Division Series
  29. Question 29 · MediumCharge on Series Caps
  30. Question 30 · MediumEnergy in Parallel
  31. Question 31 · MediumEnergy Density
  32. Question 32 · HardNetwork Problem 1
  33. Question 33 · HardNetwork Problem 2
  34. Question 34 · HardWheatstone Bridge Analogy
  35. Question 35 · HardCharge in Bridge Network
  36. Question 36 · HardPotential at Junction
  37. Question 37 · HardMaximum Energy Transfer
  38. Question 38 · MediumDischarge Energy
  39. Question 39 · MediumCapacitance from Energy
  40. Question 40 · EasyDielectric Constant
  41. Question 41 · EasyCapacitance With Dielectric
  42. Question 42 · EasyPolarisation
  43. Question 43 · MediumBound Charge
  44. Question 44 · MediumEnergy With Dielectric – Battery
  45. Question 45 · MediumRC Charging
  46. Question 46 · MediumRC Discharging
  47. Question 47 · EasyTime Constant
  48. Question 48 · MediumPractical Charging Time
  49. Question 49 · MediumVoltage Across C During Charging
  50. Question 50 · MediumVoltage Across R During Charging
  51. Question 51 · HardDielectric Slab Partially Inserted
  52. Question 52 · HardForce on Dielectric Slab
  53. Question 53 · HardRC Circuit Time
  54. Question 54 · HardMultiple Dielectric Layers
  55. Question 55 · MediumDielectric Strength
  56. Question 56 · MediumVan de Graaff Generator
  57. Question 57 · HardDisplacement Current
  58. Question 58 · MediumEnergy in Electric Field
  59. Question 59 · MediumCapacitor as Energy Source
  60. Question 60 · MediumSeries-Parallel Network
  61. Question 61 · MediumCharge After Redistribution
  62. Question 62 · HardEnergy Before and After Parallel
  63. Question 63 · HardEnergy After Parallel Connect
  64. Question 64 · MediumCapacitor with Battery
  65. Question 65 · MediumElectric Field from V
  66. Question 66 · EasyCapacitor in AC vs DC
  67. Question 67 · HardCharge on Inner/Outer Plates
  68. Question 68 · MediumMinimum Capacitance in Series
  69. Question 69 · HardDielectric Removed at Constant V
  70. Question 70 · MediumCapacitor as Sensor
  71. Question 71 · HardCylindrical Capacitor Applied
  72. Question 72 · MediumCapacitor and Lamp
  73. Question 73 · MediumCharge vs Time Graph
  74. Question 74 · HardCapacitors in Mixed Network
  75. Question 75 · HardCapacitor Plate Force
  76. Question 76 · EasyCapacitor Stores Which Energy
  77. Question 77 · HardPolarisation Vector
  78. Question 78 · HardCorona Discharge
  79. Question 79 · HardCapacitor Steady State with Inductor
  80. Question 80 · HardMethod of Images – Capacitor
  81. Question 81 · HardEnergy Minimisation
  82. Question 82 · HardDielectric with Two Gaps
  83. Question 83 · HardRC Charging – Energy Balance
  84. Question 84 · HardKirchhoff for Capacitor Circuits
  85. Question 85 · HardCapacitor with Switch
  86. Question 86 · HardOpposite Polarity Connection
  87. Question 87 · HardInfinite Ladder Network
  88. Question 88 · HardCapacitor Between Three Plates
  89. Question 89 · HardSelf-Energy of Charged Sphere
  90. Question 90 · HardCapacitor and Dielectric Slab Force Calc
  91. Question 91 · HardCapacitor Array — JEE 2020 Style
  92. Question 92 · HardCharge Induced Across Plates
  93. Question 93 · HardRC Time Constant with Multiple R
  94. Question 94 · HardLC Oscillation Frequency
  95. Question 95 · HardDielectric Constant of Water
  96. Question 96 · HardCapacitor in Gravity
  97. Question 97 · HardGauss's Law in Dielectric
  98. Question 98 · HardCapacitor in Space (No Gravity)
  99. Question 99 · HardHigh-Voltage Capacitor Design
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