DO PHYSICS ONLINE ELECTRICAL TERMINOLOGY REVIEW To understand the concepts in the Module From Ideas to Implementation it is essential that you have a good working knowledge of basic electrical and magnetic language, concepts and mathematical representation. This unit gives a brief summary of the most important ideas. ATOM nucleus (protons + neutrons) & electron- cloud CHARGE Q, q [C coulomb] charge of electron = -1.610-16 C charge of proton = + 1.610-16 C 1 C = 6.261018 electrons transfer of electrons positive and negative charged objects rubber rod - glass rod + e- e- wool + silk - FORCE BETWEEN CHARGES charged rod + neutral DO PHYSICS ONLINE + same charges repel + - opposite charges attract neutral pieces of paper any charged object will attract a neutral object 1 F Coulomb’s Law 1 q1 q2 4 o r 2 q2 q1 vacuum r q1 q2 > 0 F > 0 repulsive force q1 q2 < 0 F < 0 attractive force ELECTRIC FIELD E [N.C-1 or V.m-1] E region surrounding charge distribution +q F = E q or F q E + Electric field POSTIVE charge F + + + + + - - - - - - Electric field NEGATIVE charge Uniform electric field E = V/d DO PHYSICS ONLINE 2 POTENTIAL DIFFERENCE, POTENTIAL, VOLTAGE V [V VOLT] VOLTAGE DROP, POTENTIAL DROP, EMF ++++++ +6V -3V +6V +++ +3V + 15 V 0V -2 V -+6V -14 V - ------- -8V -2V ------------ -12 V potential differences potentials - measure of charge imbalance - A charge q of mass m in a electric field E, accelerated by a voltage V increases its kinetic energy EK by q V = ½ m v2 To a good approximation a uniform electric field is produced when two parallel plates with a small separation between them are connected to a battery. Charge is stored on each plate, one +Q and the other –Q. The electric field is equal to the gradient of the potential E V x and for a uniform electric field E V d where V is the potential difference between the plates and d is the separation distance + + + + + + + + + + V - Do problems: d E p1.93 DO PHYSICS ONLINE - - - - - - - - - p1.28 3 ELECTRIC CURRENT I i [A ampere A = C.s-1] The flow of charge gives rise to an electric current. The current is defined by the equation q I t where q is the amount of charge that passes a cross-section in the time interval t. I = nqvA where n = number of charge carriers / volume [m-3] q = charge on particle [C] v = drift velocity of charged particles [m.s-1] A = cross sectional area [m2] Direction of current I - direction in which positive charges would move DC – current in the one direction or polarity (+ / -) of voltage does not change AC – direction of current oscillates or polarity (+ / -) of voltage oscillates DO PHYSICS ONLINE 4 RESISTANCE R [ ohm] The opposition to the movement of charges (current) due to energy being dissipated as thermal energy is known as resistance. I V R R A L resistivity (property of material [.m] A cross sectional area [m2] L length [m] Resistors in series Resistors in parallel R R R1 R2 R1 R2 1 1 1 1 R1 R2 R3 ... R1 R R2 ... Adding extra resistors increases the equivalent resistance POWER ENERGY TIME P W t R Adding extra resistances decreases the equivalent resistance [W watts] [J joule] [s second] The rate at which electrical energy is consumed is known as the power P (e.g. 100 W light globe). W V2 V I I 2R t R where W is the thermal energy dissipated in a time interval t. P Energy source: battery or power supply R I emf energy supplied by battery W = q power supplied by battery DO PHYSICS ONLINE Energy dissipated by a resistance P = W/t = I I voltage drop V energy dissipated W = V I t power dissipated P = V I 5 MAGNETIC FIELD STRENGTH (MAGNETIC FLUX DENSITY) B [T TESLA] North geographic pole N magnetic pole S magnetic pole South geographic pole I I B right hand screw rule B I solenoid current out current in uniform magnetic field DO PHYSICS ONLINE 6 FORCE ON A CURRENT CARRYING CONDUCTORS IN A MAGNETIC FIELD F B I L sin FORCE ON A MOVING CHARGE IN A MAGNETIC FIELD F B q v sin +q +I F out of page B right hand palm rule F F force on current carrying conductor [N] force on charge particle magnitude only B strength of uniform magnetic field [T tesla] magnetic flux density magnitude only I q convectional current through conductor [A ampere] charge of particle [C coulomb] magnitude only magnitude only L length of conductor in magnetic field [m] magnitude only v velocity of charged particle [m.s-1] magnitude only angle between magnetic field lines and current direction = 0 F = 0 current direction & magnetic field direction parallel o = 90 F = Fmax current direction perpendicular to magnetic field direction magnitude only DO PHYSICS ONLINE 7 B B I Do problems: p1.34 DO PHYSICS ONLINE p1.79 8