» Current: rate at which electric charges move though a given area (flow rate) ˃ Benjamin Franklin and Conventional Charge: the use of Franklins original proposal that electricity is the flow of positive current through a material, charge flows from positive to negative ˃ Electron flow: more recent system used for electricity that recognizes that protons cannot leave the nucleus of an atom, but electrons can hop from atom to atom. ˃ CHARGE (Q): measured in Coulombs Coulomb = 6.24 x 10 18 electrons Elementary Charge (q) = 1.6 x 10 -19 C CALCULATIONS Equation: 𝑰 = 𝑸 ; Q=charge, I = current, t=time ∆𝒕 » Unit: Ampere (A) in Coulombs per second Example: If the current in the wire of a Blu-ray player is 5.0 mA, how long would it take for 2.0 C of charge to pass a point in the wire? 𝑰= ∆𝑸 ∆𝒕 , ∆𝒕 = ∆𝑸 𝑰 ; ∆𝒕 = 𝟐.𝟎 𝑪 = .𝟎𝟎𝟎𝟓 𝑨 400 seconds Active Components » Batteries: convert chemical energy into electrical potential energy » Power Station/Generators: convert chemical energy into mechanical energy and finally into electrical energy » Direct Current (DC) – charges move in only one direction (batteries) » Alternating Current (AC)- terminal of source is constantly changing sign, causing charge to move one way and then the other (generators, home electric supply) As current I flows through a given element in a circuit it loses voltage V in the process » This power dissipation is found using equations: P=I×V or P = I 2× R ˃ Unit : Watts ∆𝑷𝑬 𝑽= 𝑸 ↕rearrange ∆𝑷𝑬 = ∆𝑽𝑸 𝒂𝒏𝒅 W = ∆ E so: 𝑷= ∆𝑷𝑬 ∆𝒕 = 𝑽𝑸 ∆𝒕 𝑸 ∆𝒕 = ∆𝑽𝑰 =I ∆𝑾 𝑷= ∆𝒕 Calculating the Electrical Energy Delivered in a Time Interval » Equation E = IV Δt E= electrical energy I= current V= voltage t = time Electricity and Heat: Calorimeter Lab Specific Heat Capacity: amount of heat energy needed to raise the temperature of 1g substance by 1°C ˃ Variable: C ˃ Unit: Joules per gram-degree Celsius (J / g °C) ˃ every substance will have a certain specific heat capacity, Quantity of heat: amount of thermal energy transferred from one object to another. ˃ Variable: Q (same as for charge, confusing I know) ˃ Unit: joules or calories (1 calorie is = to 4.18 Joules) Equation: Q= mC∆T or Q=mC (T2-T1) m= mass T= temperature C= specific heat capacity of substance Specific Heat Capacity of Common Substances Resistance: the opposition to the flow of current in an electrical wire or element ˃ Think “friction” ˃ Symbol: R ˃ Unit : Ω (Omega) Ohm, equivalent to 1V/1A ˃ Equation: 𝑹 = 𝑽 𝑰 Equivalent Resistance: total resistance of a circuit based on number of components and their configuration (series or parallel) » Series Rule: 𝑹𝑻𝒐𝒕𝒂𝒍 = 𝑹𝟏 + 𝑹𝟐 + 𝑹𝑵 » Parallel Rule: 𝟏 𝑹𝑻𝒐𝒕𝒂𝒍 = 𝟏 𝑹𝟏 + 𝟏 𝑹𝟐 + 𝟏 𝑹𝑵 NOTE: Rules only work when circuit, or portion of a circuit are only series or only parallel » Resistance is Dependent Upon: ˃ Length of wire/element: longer = ↑ resistance ˃ Cross-sectional area of wire/element: larger= ↓ resistance ˃ Material type: copper vs aluminum, etc. ˃ Temperature: decrease in temperature= ↓ resistance » Named for Georg Simon Ohm (1789-1854) 𝑽 = 𝑰𝑹, where V is voltage, R is resistance and I is current *only holds when Resistance is independent of Voltage Not a fundamental Law, meaning it only holds under certain conditions » Ohmic: follows Ohm’s Law, using the equation the resistance of a circuit can be calculated using voltage and current » Non- Ohmic: does not follow Ohm’s Law, equation does not work due to variable resistance that is dependent upon voltage » Gustav Robert Kirchhoff, German Physicist (1824 – 1887) » Credited with two laws essential to understanding circuits. 1. Kirchhoff's Junction Rule 2. Kirchhoff’s Voltage Rule Rule: At any node (junction or branch point) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node » The algebraic sum of voltages around each loop is zero ˃ Beginning with one node, add voltages across each branch in the loop (if you encounter a + sign first) and subtract voltages (if you encounter a – sign first) » Σ voltage drops - Σ voltage rises = 0 » Or Σ voltage drops = Σ voltage rises Loop #3 6V 10 V Loop #1 4V 4V Loop #3 Loop #2 » Notes Circuit Resolution
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