Section C: Fields, Electricity and Electromagnetism

Syllabus Notes Experimental Works
Gravitational fields Inverse square law Newton's law of gravitation for point masses and its extension to spherically symmetrical bodies (proof not required). Method of measuring the gravitational constant G is not required.
Field strength g G has taken as force per unit mass. G of the earth's field, its relation with g, its variation with height above the earth's surface and with latitude (assuming the earth to be a sphere of uniform density).
Gravitational 
potential V
Derivation of considering the potential at infinity to be zero. Field strength . Velocity of escape and launching satellites. Circular orbits (including parking orbits). Weightlessness.
Kepler's laws Derivation of = constant from inverse square law. Mean orbit radii and revolution periods for the planets, and comparison with .
Electric Fields E Analogy with gravitational field. Coulomb's law. E considered as force per unit charge. E15 Investigation of the electric field between parallel metal plates using a charged foil strip (NAP 3.2/E 2).
Electric
potential V
Derivation of . Distribution of potential and equi-potential surfaces for charged conducts. E16 Observation of Electric field patterns produced by electrodes of different shapes. (NAP 3.3/E3) 

E17 Plotting equipotential lines on a high resistance conducting surface.

E18 Investigation of the electric potentials between parallel-plate (NAP 3.8/E4) and around a charged sphere  using a flame probe (NAP 3.11/E8a).

Storage of charge by capacitors Introduction through a series of experiments with capacitors. E19 Introducing capacitors by studying
(a) the charging and discharging through a resistor;
(b) equal and opposite charges on the plates of a capacitor;
(c) charges stored in various capacitors;
(d) charges on a capacitor and the p.d. across it; and
(e) capacitors in series and in parallel.(NAP 2.14/B 14). 
Capacitance Q = CV. The farad F (and the sub-units  and pF). 

for a parallel-plate capacitor. Series and parallel combinations of capacitors.Use of reed switch for measuring capacitance. Measurement of  not required. Stray capacitance.

E20 Study the transfer of charge between two conductors---the "spooning"of charge froman e.h.t. power supply to an electrometer (NAP 2.16/B15).
E21 Investigation of the relationship between the charge on a capacitor and the p.d. across it by charging it with a constant current (NAP 2.15/B15). 

E22 Investigation of the factors affecting capacitance of a parallel-plate capacitor is using an electrometer (e.g. NAP 3.5/E6) and/or a reed switch (e.g. NAP 3.4/E7). 

E23 Using a reed switch to measure the capacitance of capacitors in series and in parallel (NAP 3.6).

Charging and discharging of capacitors Exponential rises and decays of charge with time. Time constant CR. Derivation of expressions  and  required.  E24  Plotting the decay curve of charge in a capacitor using an electrometer or ammeter (e.g. NAP 2.17/B 20).
Energy of a charged capacitor Proof of  required. E25 Study the energy stored in a charged capacitor by discharging it through a small motor (NAP 2.18/B 17)
Current electricity  The general flow equation I = nAvQ and its application as a simple model for electron conduction in a metal. Estimation of electron drift velocity and speed of electrical signals.
Electromotive force  E.m.f. of a source as the energy imparted by the source per unit charge passing through it. P.d. between two points as the energy converted from electrical potential energy to other forms per unit charge passing between the points outside the source. Internal resistance of power supplies. E26 Demonstration of the drop in terminal p.d. of power supplies delivering current (NAP 2.12/B8) 

E27 Using different voltmeters to measure the terminal p.d. of a power supply with high  internal resistance (NAP 2.13/B8).

Resistance, Ohm's law. Resistivity. Variation of resistance with temperature. The variation of current with applied p.d. in various conductors and circuit elements (metals, electrolytes, thermistors, and diodes). Ohm's law as a special case of resistance behavior. Complete circuits and simple networks. Kirchhoff's first law. (Kirchhoff's second law not required).
Potential divider Rotary or slide-wire types may be used for practical work. The use of the rotary-type to provide a variable p.d. is essential.
Shunts and multipliers for electrical meters Principle of design and use of D multimeter for d.c. current. d.c. voltage and resistance measurement. Importance of movement sensitivity (i.e. current for full-scale deflection).
Electromagnetism Force on a current carrying conductor in a magnetic field. Magnetic field B  relative directions of force, field and current. 

B = F/ IL introduced using a simple current balance, the tesla (T) as . The generalized expression .

E28 Using a current balance to measure the magnetic fields
(a) between two magnadur magnets;
(b) close to the end of a current carrying coil; and
(c) inside a flat solenoid carrying current. (NAP 7.3/H 4a & b). 
Force on a moving charge in a magnetic field. 
Hall effect Measurement of magnetic fields.
. Hall effect

Derivation of the hall voltage .

Hall probe, current balance, search coil and CRO.

E29 Using a Hall probe or a search coil to investigate the magnetic fields
(a) around a long straight wire;
(b) at the centre of a coil;
(c) inside and around a slinky solenoid; and
(d) inside a solenoid, carrying current.(NAP 7.13/H 7).
Magnetic fields around a long straight wire, and inside a long solenoid, carrying current. and  should be understood but derivation are not required. These relationships can be investigated experimentally.
Definition of the ampere Quantitative treatment of the force between currents in long straight parallel conductors.
Torque on a rectangular current carrying coil in a uniform magnetic field.
Moving-coil galvanometer Principles of design and operation. Sensitivity. Ballistic form not required.
Electromagnetic induction  Induced e.m.f. resulting from (i) a moving conductor in a stationary magnetic field, and (ii) a stationary conductor in a changing field. Magnetic flux .

Interpretation of B as magnetic flux density.

E30 Investigation of factors affecting the induced e.m.f. in a coil (NAP 7.10 excluding 7.10g/H 14, H15). 
Simple a.c. and d.c. generators d.c. motor and back e.m.f. Derivation of the alternating e.m.f. induced in a rectangular coil rotating in a uniform magnetic field.
Eddy currents  Brief discussion of occurrence and practical uses.
Transformer Derivation of. Energy losses. E31 Study of transformer action:
(a) the effect of the flux linkage;
(b) the relationship between voltage ratio and turn ratio;
(c) the dependence of the current in the primary coil on the loading; and
(d) comparison between input and output power.(NAP 7.11/H20).
Self-induction . Derivation of energy stored in an inductor and analogy with charged capacitor. Implications for switch design. E32 Study of self induction in a coil (NAP 7.12a/H18). 
Alternating current r.m.s. and peak values Relationship for sinusoidal a.c. derived from mean heating effect in a pure resistance. 
Sinusoidal a.c. in pure R, C and L taken separately, Phase lead and phase lag Rotating vector (phasor) model. Physical origin of phase difference. E33 Study of the phase relationship between p.d. and current when a low frequency a.c. is passed through
(a) resistor;
(b) capacitance (NAP 6.8/H23), and 
(c) inductor.
Series combination of L, C and R. Impedance Derivation of  and . Rotating vector method only. Resonance. E34 Study of the phase difference between p.d. and current in CR and LR circuits using simple split beam CRO.
Power factor Power absorbed in resistive component only and hence from vector diagram. Instantaneous power and related derivations or calculations not required.
Resonance in parallel LC circuit  Practical demonstration only (no theory required), application in radio tuning circuit. E35 Study of resonance in parallel LC circuit using a CRO (NAP 6.17/H26).
Electronics diode The diode as an uni-directional circuit element (internal mechanism not required). Half-waveband full-wave rectification. Bridge rectifier and application in a.c. measuring instruments.
Power supplies Full¡Vwave rectifier with storage capacitor and inductor smoothing. Qualitative treatment only.
The NPN silicon bipolar junction transistor The transistor as a three-terminal device, the properties of which can be deduced, the propertied of which can be deduced from measurements at its terminals. Knowledge of internal structure not required. E36 Investigation of the characteristics of a NPN silicon transistor in the common emitter configuration.
Input, current transfer, collector, and input/putout voltage characteristics in the common emitter configuration. Knowledge of internal mechanisms not required. 
Current amplification factor . Determination from current transfer characteristic. Simple calculations involving base and collector currents, input and output voltages.
Linear voltage amplification Single NPN transistor in the common emitter configuration. Simple biasing techniques. Derivation of voltage gain . E37 The transistor as a linear voltage amplifier. 
Analogue systems, amplification and feedback are using a common operational amplifier. Essential characteristics of a common operational amplifier with inverting and non-inverting inputs. Voltage gain. Negative feedback, summing amplifier. Simple applications; e.g. high impedance voltmeter, comparator as a switch.  E38 Study of an operational amplifier:
(a) input and output characteristic of a negative feedback amplifier circuit (NAPI4);
(b) currents and voltages in an operational amplifier (NAP I5);
(c) using of a negative feedback amplifier (e.g. summing amplifier) (NAP I6a); and
(d) using the non-inverting input as an amplifier and as a voltage follower (NAP I 7a,b).