Summary List of derivations

List of derivations for Goa Board Examination
2025-26
DCT’S VASANTRAO DEMPO HSS OF ARTS ,SCIENCE &
COMMERCE,CUJIRA ST.CRUZ-GOA


XII-PHYSICS

1. ELECTRIC CHARGES & FIELDS
 Conceptual questions
 Figure based conceptual questions
 Numerical problems
 Derivations
Derivations

1. 1.1 Electric field on the axis of a diploe.

2. 1.2 Electric field on the equatorial plane (on perpendicular bisector of
an axis of a dipole )

3. 1.3 Torque on an electric dipole placed in external electric field

4. 1.4 Electric field due to infinitely long straight uniformly charged wire
using Gauss’s law

1.5 Electric field due to uniformly charged infinite plane sheet using
5.
Gauss’s law

6. 1.6 Electric field due to uniformly charged thin spherical shell using
Gauss’s law
a) Outside the shell
b) Inside the shell

DCT’S VASANTRAO DEMPO HSS OF ARTS, SCIENCE & COMMERCE, CUJIRA ST.CRUZ-GOA
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, 2. ELECTROSTATIC POTENTIAL & CAPACITANCE

 Conceptual questions
 Figure based conceptual questions
 Numerical problems
 Derivations

Derivations

2.1 Electric potential due to a point charge.
7.
2.2 Relation between electric field and electric potential
8.
2.3 Potential energy due to system of three charges
9.
2.4 Potential energy of a system of two charges in an external field
10.
2.5 Potential energy of a dipole in an external field.
11.
2.6 Capacitance of a parallel plate capacitor.
12.
2.7 Capacitors connected in series.
13.
2.8 Capacitors connected in parallel.
14.



3. CURRENT ELECTRICITY
 Conceptual questions
 Figure based conceptual questions
 Numerical problems
 Derivations
Derivations

3.1 Cell connected in series
15.
3.2 Cells connected in parallel
16.
3.3 Wheatstone bridge
17.


DCT’S VASANTRAO DEMPO HSS OF ARTS, SCIENCE & COMMERCE, CUJIRA ST.CRUZ-GOA
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