Unit 1

Question 1

Coloumb’s Law
(For “i” particles)

Answer 1

Question 2

Force and Electric Field relation

Answer 2

Question 3

Force and Electric Field relation

Answer 3

Question 4

Work done from pt A to pt B

Answer 4

Question 5

Work done around a closed loop

Answer 5

Question 6

Work done around a closed loop

Answer 6

Question 7

Electric Potential
(In terms of U & q)

Answer 7

Question 8

Electric Potential
(of pt charge, from Electric Field)

Answer 8

Question 9

Potential in differential form

Answer 9

Question 10

Potential due to ring of a charge

Answer 10

Question 11

A Conductor…
(Definition)

Answer 11

is a material that has FREE electrons
(There are NO electric field inside conductors, meaning electric field is always normal to surface)

Question 12

Electric Flux

Answer 12

Question 13

Flux of Electric field through Surface

Answer 13

Question 14

Gauss’ Law (integral form)

Answer 14

Question 15

Differential form of Gauss’ Law

Answer 15

Question 16

Q enclosed for a spherical insulator

Answer 16

Question 17

dS = …

Answer 17

Question 18

da substitution

Answer 18

Question 19

Spherical Insulator Graph
(For E against r)

Answer 19

Question 20

Spherical Insulator Graph
(For E against r)

Answer 20

Question 21

Conducting sphere graph
(E against r)

Answer 21

Question 22

Dipole Moment

Answer 22

Question 23

Polarisation
(Dipole moment per unit Volume)

Answer 23

Question 24

Displacement Electric Field
(D Field)

Answer 24

Question 25

What happens at interface between two dielectrics

Answer 25

1) The tangential component of E is conserved
.
2) The normal component of D is conserved

Question 26

Ideal Capacitor with Dielectric

Answer 26

Question 27

Energy Density for ideal capacitor with a dielectric with Electric Field

Answer 27

Question 28

Energy Density in a dielectric Material

Answer 28

Question 29

Total Charge inside Sphere

Answer 29

Volume integral of charge density

Question 30

Electric flow diagram of a Dielectric
(When field applied)

Answer 30

Question 31

Net Charge on inclined dielectric face

Answer 31

Question 32

Charge per unit volume

Answer 32

Question 33

Divergence Theorem

Answer 33

Question 34

Divergence Theorem

Answer 34

Question 35

Gauss’ Law for a dielectric
- Integral form
- Differential form

Answer 35

Question 36

Charge in a Capacitor

Answer 36

Question 37

Electrostatic Energy in Volume V

Answer 37

Question 38

Capacitance Equation to Work Done
(For charging capacitor -> energy stored)

Answer 38

Question 39

Current Equation

Answer 39

Question 40

Current Equation

Answer 40

Question 41

Current Density

Answer 41

Question 42

Hall Effect Sketch

Answer 42

Question 43

Biot-Savart Law

Answer 43

Question 44

Ampere’s Law
- Integral
- Differential

Answer 44

Question 45

Faraday’s Law
- Integral
- Differential

Answer 45

Question 46

Lorentz Force

Answer 46

Question 47

Gauss’ Law for magnetic fields

Answer 47

Question 48

Diagmentic Materials

Answer 48

• Acquire an induced dipole moment under the influence of an external field
• This induced dipole is oppositely to the applied magnetic field
• resulting in a decrease in the field inside the material

Question 49

Paramagnetic Materials

Answer 49

• have a permanent dipole moment due to non-zero electronics angular momentum
• when a magnetic field is applied, the atoms/ molecules line up with the external field
• resulting in a larger field inside the material

Question 50

Ferromagnetic Materials

Answer 50

• there is a strong interaction between neighbouring dipole moments, which causes them to align much more strongly with the applied field

Question 51

Curie Temperature

Answer 51

Gives an idea of the energy required to disrupt ferromagnets

Question 52

Hysteresis

Answer 52

How magnets “Remember their magnetic history”

Question 53

Magnetisation of Materials

Answer 53

Question 54

The Macroscopic Magnetic Field

Answer 54

Question 55

The magnetisation surface current density gives rise to a uniform field inside the mat:

Answer 55

Question 56

Magnetic field in terms of magnetic intensity

Answer 56

Question 57

Total Current Density
- volume J generated by motion of free charges
- J on surface due to magnetisation

Answer 57