PHYSICS TOPIC LEARNING OUTCOMES At the end of this topic, the student should be able to: 19.0 ELECTROSTATICS 19.1 REMARKS a) State Coulomb’s law, F Coulomb’s law Qq kQq 2 . 2 4o r r b) Apply Coulomb’s law for a system of point charges. HOUR 7 k 1 4 0 9.0 10 9 N C -2 m 2 1 Simple configuration of charges with a maximum of three charges. Limit to 2D. 19.2 Electric field a) Define electric field 2 b) Define electric field strength, E F . q0 Emphasize E as a vector. q0= positive test charge c) Sketch the electric field lines of isolated point charge, two charges and uniformly charged parallel plates. Simple configuration of charges d) Obtain numerically and pictorially the electric field with a maximum of three charges strength E of a point charge and a system of charges. in 2D. 19.3 Charge in uniform electric field a a) Sketch the trajectory of a charged particle moving in a uniform electric field. b) Determine the velocity and the angle of deflection of a charged particle on exit from a uniform electric field. 29 1 PHYSICS TOPIC 19.4 Electric Potential LEARNING OUTCOMES REMARKS a) Define electric potential. 2 b) Determine the electric potential due to a point charge Maximum three charges in 2-D. and a system of charges. Q V 4o r c) Calculate potential difference between two points. VAB = VA – VB VAB = HOUR W BA q d) Explain the relationship between electric field strength and electric potential. E dV dr e) Obtain the change in potential energy, U when a charge is moved between two points in a uniform Consider sign of charge. electric field. U qV f) Calculate potential energy of a system of point Maximum three charges. Consider sign of charge. charges. q q qq qq U k 1 2 1 3 2 3 r13 r23 r12 30 PHYSICS TOPIC 19.5 Equipotential Lines and Surfaces 20. 0 CAPACITOR AND DIELECTRICS 20.1 Capacitors and dielectric LEARNING OUTCOMES REMARKS HOUR a) Define and sketch equipotential lines and surfaces of i) an isolated charge ii) a uniform electric field iii) an electric dipole 1 At the end of this topic, the student should be able to: 5 a) Define capacitance. Capacitance measures the charge on the capacitor for unit voltage across it b) Use formula C c) State and explain the geometrical factors affecting the capacitance of a parallel plate capacitor Q . V Air-filled capacitor C0 0 A , C = εrCo d Table of dielectric constant d) Determine capacitance of parallel plate capacitor. Other types of capacitors are not discussed. e) Describe the effect of dielectric on a parallel plate capacitor. f) Determine the energy stored in a capacitor 31 U 12 CV 2 12 QV 1 2 Q2 C 2 PHYSICS TOPIC 20.2 Capacitors in series and parallel LEARNING OUTCOMES a) 21.0 ELECTRIC CURRENT AND DIRECT-CURRENT CIRCUITS 21.1 Electrical Conduction HOUR Deduce and use the effective capacitance of capacitors Include their combination. Limit in series and parallel. to five capacitors. Obtain the electric potential across each capacitor 2 a) Explain the process of charging and discharging capacitor. 1 b) Define and explain the physical meaning of time = RC. constant , c) Sketch and explain the characteristics of Q-t and I-t graph for charging and discharging of a capacitor. No derivation. b) 20.3 Charging and discharging of capacitors REMARKS At the end of this topic, the student should be able to: a) b) c) Define electric current Determine the current from Q-t graph Define electromotive force (emf) 32 10 I dQ dt 1 PHYSICS TOPIC LEARNING OUTCOMES 21.2 Ohm’s law and a) Resistivity b) 21.3 Variation resistance temperature REMARKS State Ohm’s law. V=IR Define resistance and relate it to resistivity . R 2 l A c) State and discuss the factors affecting the resistivity of Introduce conductivity as the a resistor. inverse of resistivity d) Explain the potential drop across a resistor in a simple circuit. e) Explain the effect of internal resistance to the potential V = - Ir. difference across battery terminals. of a) with b) 21.4 Electrical energy a) and power b) HOUR 1 Explain the effect of temperature on electrical resistance in metals. 1 Determine the resistance change due to variation of = 0 [ 1 + α T ] temperature. R =Ro [1+ α(T - To)]. Explain joule heating and relate it to the dissipative power of a resistor. Determine the dissipative power and energy loss in a simple circuit 33 Include P =I2R and P = V2/R for power. Emphasize on V as potential difference across resistors. P = VI and W = VIt 1 PHYSICS TOPIC 21.5 Resistors in series and parallel LEARNING OUTCOMES a) Determine effective resistance of resistors in series and effective resistance of resistors parallel. b) Determine effective resistance of resistors connected in Include combination of resistors. parallel-series combination. Limit to five resistors. Obtain the voltage and current in the circuit. c) 21.6 Kirchhoff’s Laws REMARKS a) b) c) State Kirchhoff’s current and voltage law. Label the high and low potential points across resistors and batteries for a given current direction. Use Kircchoff’s laws to determine currents flowing in two loops closed circuit. HOUR 2 Current direction is already specified. Maximum two closed circuit loops. 2 No need to calculate potential between two points in the circuit 21.7 Potential divider 22.0 MAGNETIC FIELD a) Explain the principle and usage of a potential divider. b) Determine the potential across a chosen resistor in a circuit by using the potential divider equation. At the end of this topic, the student should be able to: 34 1 R1 V1 V R1 R2 5 PHYSICS TOPIC 22.1 Magnetic field LEARNING OUTCOMES a) Define magnetic field strength in terms of magnetic flux. REMARKS HOUR B A BA cos 1 Introduce earth magnetic field. b) c) 22.2 Magnetic field produced by current-carrying conductor a) List magnetic field sources and sketch the magnetic Bar magnet, current-carrying field lines. conductor and solenoid. Limit to two sources only. Compare between magnetic field and electric field. Determine magnetic field strength and its direction due Suggest Right Hand Rule to to current-carrying conductor. determine direction of B . i) B 0 I for a long 2r straight wire ii) B 0 I for a circular 2r coil and iii) B 0 nI for a solenoid. For (ii) and (iii) consider the magnetic field at the centre only. 35 1 PHYSICS TOPIC a) 22.3 Force on a moving charged particle b) and on a currentcarrying conductor in a uniform magnetic field 22.4 Forces between a) two parallel currentcarrying conductors 22.5 Torque on a coil LEARNING OUTCOMES REMARKS Determine the magnitude and direction of force on a F qv B moving charged particle in a uniform magnetic field. Determine the magnitude and direction of force on a For electron, q = e current-carrying conductor in a uniform magnetic field. F I l B Consider screw rule Limit to motion of charge perpendicular to magnetic field. Sketch the direction of force and magnetic field of two The direction of force adjacent parallel current-carrying conductors. experienced by the conductors depends on the direction of current flow. b) Compute the force per unit length on two adjacent parallel current-carrying conductors. c) Define one ampere in terms of force per unit length on two adjacent parallel current-carrying conductors. a) Explain how torque on a coil is produced. c) Explain the working principles of a moving coil galvanometer 36 1 N I A B NIAB sin List and explain the factors affecting torque on a coil in a magnetic field. 1 F o I1 I 2 l 2 d Magnitude b) HOUR of torque 1 PHYSICS TOPIC 23.0 ELECTROMAGNETIC INDUCTION 23.1 Induced emf LEARNING OUTCOMES REMARKS HOUR 6 At the end of this topic, the student should be able to: a) Explain induced emf. b) State Faraday’s law and Lenz’s law. c) 3 Emphasize on describing electromagnetic induction based Determine the magnitude and direction of induced emf on Faraday’s law and Lenz’s law. using Faraday’s law and Lenz’s law. d) State and explain the factors affecting the induced emf of a straight conductor and a coil in changing magnetic flux. e) Detemine the magnitude of induced emf on a straight conductor and on a coil. f) Explain back emf and its effect on DC motor. d dt i. a straight conductor, Blv sin , ii. a coil, A B iii. 37 dB or dt dA dt a rotating coil, NAB sin t PHYSICS TOPIC 23.3 Self-inductance 23.4 Mutual Inductance 24.0 ALTERNATING CURRENT 24.1 Alternating current LEARNING OUTCOMES REMARKS L a) Define self-inductance. b) c) List and explain factors affecting self-inductance of a loop and a solenoid. Calculate the energy stored in an inductor. a) Define mutual inductance. b) Determine mutual inductance of two coaxial coils. c) Explain the working principle of transformer and the effect of eddy current in transformer. d) Calculate the voltage and current of a transformer. HOUR 1 N I I L dI / dt 1 U 2 LI 2 M 12 = o N 2 A l N 2 12 o N1 N 2 A I1 l Step up and transformer. step 2 down At the end of this topic, the student should be able to: 7 a) Define alternating current (AC). 1 b) Sketch and analyse the sinusoidal AC waveform. c) Write and apply sinusoidal voltage and current v V0 sin t and i I 0 sin t equations. Exclude initial phase angle 38 PHYSICS TOPIC 24.2 Root mean square (rms) LEARNING OUTCOMES a) Define root mean square (rms) current and voltage for AC source. b) Determine root mean square (rms) current and voltage from AC equations and graph a) Explain qualitatively the relationship between AC current and voltage in resistor, capacitor and inductor . Draw phasor diagram for AC current and voltage in resistor, capacitor and inductor . Define and determine reactance of a capacitor and an inductor. Analyse voltage, current and phasor diagrams for a series circuit consisting of i) RL ii) RC iii) RLC. Define and determine the impedance of RC, RL and RLC in series circuit. REMARKS HOUR 1 I rms Io V , Vrms o 2 2 3 24.3 Resistance, reactance and impedance b) c) d) e) Emphasize on phasor diagram of single component circuit. Explain graphically the dependence of R,, XC , XL and Z on f. XC = 1 , XL = 2 f L , 2fC Z R2 ( X L X C )2 , (X XC ) tan 1 L R For resonance : XC = XL 39 PHYSICS TOPIC 24.4 Power and power factor LEARNING OUTCOMES a) Define and determine average power, instantaneous power and power factor in AC circuit consisting of R, RC, RL and RLC in series. REMARKS i) ii) Average power, Pav = I V cos θ, Instantaneous power, P iii) HOUR 1 dW dt Power factor cos θ Pr Pav Pa IV Emphasize on power loss only in resistor of the AC circuit. 24.5 Rectification a) b) Explain the working principle of rectifier diode Explain half-wave and full wave rectification by using Exclude the use of transformer in a circuit diagram and V-t graph. the circuit. 40 1