Class 12 physics Chapter 1, Study notes of Physics

Notes is very usefull for you Access our Purchase PDF download for Class 12 Physics Chapter 2: Electrostatic Potential And Capacitance. This chapter is about the fundamental concepts of electric charges, Coulomb's law, electric fields, and Gauss's law. Our detailed Notes provide clear explanations, essential formulas, and practical examples to help you grasp these concepts effectively and prepare thoroughly for your exams. Download the PDF now to get a valuable resource for your studies.

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CBSE Class 12 Physics Chapter 1: Electric Charges and
Fields
1. Electric Charge
Definition: Property of matter that causes it to experience a force when placed in an
electric field.
Types: Positive (+), Negative (−).
Basic properties:
1. Quantisation: q=neq = neq=ne, where e=1.6×10−19e = 1.6 \times 10^{-
19}e=1.6×10−19 C.
2. Conservation: Total charge in an isolated system remains constant.
3. Additivity: Net charge is the algebraic sum of charges.
Conductors vs. Insulators:
o Conductors allow charge flow (metals, human body).
o Insulators don’t (rubber, plastic).
2. Coulomb’s Law
F=14πϵ0⋅∣q1q2r2F = \frac{1}{4\pi\epsilon_0} \cdot \frac{|q_1 q_2|}{r^2}F=4πϵ01r2q1q2
Vector form:
F 12=14πϵ0q1q2r2r^12\vec{F}_{12} = \frac{1}{4\pi\epsilon_0} \cdot \frac{q_1 q_2}{r^2}
\hat{r}_{12}F12=4πϵ01r2q1q2r^12
Key points:
o Force is along the line joining charges.
o Like charges repel, unlike charges attract.
o ϵ0\epsilon_0ϵ0 (permittivity of free space) = 8.85×10−12 C2/Nm28.85 \times
10^{-12} \, C^2/N·m^28.85×10−12C2/Nm2.
3. Superposition Principle
Net force on a charge = vector sum of individual forces due to all other charges.
4. Electric Field (E \vec{E}E)
Definition: Force per unit positive test charge.
E =F q0\vec{E} = \frac{\vec{F}}{q_0}E=q0F
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CBSE Class 12 Physics – Chapter 1: Electric Charges and

Fields

1. Electric Charge

Definition: Property of matter that causes it to experience a force when placed in an electric field.  Types: Positive (+), Negative (−).  Basic properties:

  1. Quantisation: q=neq = neq=ne, where e=1.6×10−19e = 1.6 \times 10^{- 19}e=1.6×10−19 C.
  2. Conservation: Total charge in an isolated system remains constant.
  3. Additivity: Net charge is the algebraic sum of charges.  Conductors vs. Insulators: o Conductors allow charge flow (metals, human body). o Insulators don’t (rubber, plastic).

2. Coulomb’s Law

F=14πϵ0⋅∣q1q2∣r2F = \frac{1}{4\pi\epsilon_0} \cdot \frac{|q_1 q_2|}{r^2}F=4πϵ0 1 ⋅r2∣q1q2∣

Vector form:

F 12=14πϵ 0 ⋅q1q2r2r^12\vec{F}{12} = \frac{1}{4\pi\epsilon_0} \cdot \frac{q_1 q_2}{r^2} \hat{r}{12}F12=4πϵ0 1 ⋅r2q1q2r^

Key points: o Force is along the line joining charges. o Like charges repel, unlike charges attract. o ϵ0\epsilon_0ϵ0 (permittivity of free space) = 8.85×10−12 C2/N⋅m28.85 \times 10^{-12} , C^2/N·m^28.85×10−12C2/N⋅m2.

3. Superposition Principle

 Net force on a charge = vector sum of individual forces due to all other charges.

4. Electric Field (E \vec{E}E)

Definition: Force per unit positive test charge.

E =F q0\vec{E} = \frac{\vec{F}}{q_0}E=q0F

Due to a point charge:

E=14πϵ0⋅qr2E = \frac{1}{4\pi\epsilon_0} \cdot \frac{q}{r^2}E=4πϵ0 1 ⋅r2q

Electric field lines: o Originate from + charges, terminate on − charges. o Never intersect. o Density of lines ∝ field strength.

5. Electric Dipole

Definition: Two equal and opposite charges separated by a small distance.  Dipole moment:

p =q⋅d \vec{p} = q \cdot \vec{d}p=q⋅d

Field due to dipole: o Axial line: E=14πϵ0⋅2pr3E = \frac{1}{4\pi\epsilon_0} \cdot \frac{2p}{r^3}E=4πϵ0 1 ⋅r32p o Equatorial line: E=14πϵ0⋅pr3E = \frac{1}{4\pi\epsilon_0} \cdot \frac{p}{r^3}E=4πϵ0 1 ⋅r3p  Torque in uniform field:

τ=pEsinθ \tau = pE \sin\thetaτ=pEsinθ

6. Continuous Charge Distribution

Linear charge density: λ=ql\lambda = \frac{q}{l}λ=lq  Surface charge density: σ=qA\sigma = \frac{q}{A}σ=Aq  Volume charge density: ρ=qV\rho = \frac{q}{V}ρ=Vq

7. Gauss’s Law

∮E ⋅dA =qenclosedϵ0\oint \vec{E} \cdot d\vec{A} = \frac{q_{\text{enclosed}}}{\epsilon_0}∮E⋅dA=ϵ0qenclosed

 Useful for finding E \vec{E}E in symmetric charge distributions.  Applications: o Field due to infinite line of charge. o Field inside/outside a uniformly charged sphere. o Field due to a uniformly charged infinite plane sheet.