FORMULA BOOKLET PHYSICS CLASS 12 CHAPTER CAPACITANCE

1. FORMULA BOOKLET PHYSICS CLASS 12 CHAPTER CAPACITANCE Physics Formulas Class 12 Chapter- Capacitance 1. c = q/v where c = capacity of a condenser (farad) The capacity of a special conductor C = 4πε0R q-charge (coulomb), V-potential (volt) 2. C = ε0 - A/d Where c0 = capacity of a parallel plate capacitor (air is medium) A = π r2 for circular plates d = distance between the plates (m)

2. ε 0 = Permittivity of free space (f/m) 3. When a medium of dielectric constant ‘k’ is placed between the plates than its capacity C = K ε 0 A/K(d - t) + t 4. In a series combination of ‘3’ capacitors, (a) Q is the same on all the capacitors i.e, Q = Q1 = Q2 = Q3 The ratio of charges is 1 : 1: 1 (b) Total potential, v = v1 +v2 + v3 The ratio of potentials v1:v2:v3= V = Q/C1 + Q/C2 + Q/C3 V/Q = 1/C1 + 1/C2 + 1/C3 1/C = 1/C1 + 1/C2 V1 = C2/C1 + C2 ; V2 = (C1/C1 + C2)V 1/C = 1/C1 + 1/C2 + 1/C3 + 1/C4+......... (c) Effective capacitance C/N For two capacitors 1/C = 1/C1 + 1/C2 Note:- If all are identical capacitors, then C/N In parallel combination of ‘3’ capacitors. (a) ‘v’ is the same across all the capacitors i.e., v = v1 = v2 = v3

3. The ratio of potentials is 1 : 1: 1 (b) Total charge, Q = Q1 + Q2 + Q3 = C1 : C2 : C3 (c) effective capacity, CP = C1+C2+C3 Note: If all are identical capacitors, Then C1 = C2 = C3 = C and CP3C, CPnC [for n capacitor] 5. Energy stored in a capacitor U = 1/2 CV2 = 1/2 QV = 1/2 Q2/C Where C – Capacity of capacitor V – Potential, Q – Charge, U – Energy stored in J 6. If a dielectric of ‘k’, thickness ‘t’ is placed between the plates of a parallel plate capacitor then Its capacity is C = [ε0 A/(d - t) {1 + 1/t}] Conceptual points ● The capacity of conductors is the ratio of charge (q) on them to their potential (V). c = q/v ● Unit of capacity is coulomb/volt or farad. ● The capacity of a conductor is one farad when 1 coulomb of charge is added to the conductor to raise its potential by 1volt. Do follow NCERT Solutions for class 12 Physics prepared by the expert faculty of Physics Wallah. Students can also get the Important Questions for CBSE Class 12 Physics. Frequently Asked Question (FAQs) Q1. What is capacitance for class 12th?

4. Ans. The capacitance (C) of a capacitor is defined as the charge ratio (Q) given the potential difference (V) applied to all conductors, i.e., C = Q / V. The SI unit of capacitance is the farad (F). Q2. What is the SI unit of capacitance? Ans. The SI unit of capacitance is farad. Q3. What is the formula for a capacitor? Ans. The governing equation for capacitor design is C = εA/d. In this equation, C is capacitance; ε is permittivity, a term for how well dielectric material stores an electric field; A is the parallel plate area, and d is the distance between the two conductive plates. Q4. What are the two types of capacitors? Ans. Capacitors are divided into two mechanical groups: fixed capacitors with constant and variable capacitors with variable (trimmer) or adjustable (tunable) capacitance values. The most important group is the fixed capacitor. Q5. Where are capacitors used? Ans. Capacitors are very popular in many systems, such as power circuits, electronic circuits, and power supply units. The capacitor is called the Big Three Passive Components and coil resistors, the basics of electrical circuits. Q6. What is a coulomb unit? Ans. Coulomb (represented by C) is a standard electric charge unit in the International System of Units (SI). It is an infinite number; share this feature with the mole. A value of 1 C equals approximately 6.24 x 1018, or a quintillion 6.24. Also visit: Electrochemical cell class 12 Notes by Physics Wallah

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