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Chapter 3.4-3.8: Current, Resistance and Ohm’s Law

Chapter 3.4-3.8: Current, Resistance and Ohm’s Law. Current: Going with the flow. What is current? At its simplest, Electric current is the rate of charge flow past a given point in an electric circuit, measured in Coulombs/second – more commonly known as Amperes. The Ampere (A).

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Chapter 3.4-3.8: Current, Resistance and Ohm’s Law

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  1. Chapter 3.4-3.8:Current, Resistance and Ohm’s Law

  2. Current: Going with the flow • What is current? • At its simplest, Electric current is the rate of charge flow past a given point in an electric circuit, measured in Coulombs/second – more commonly known as Amperes

  3. The Ampere (A) • Current is measured as the number of e- which flow past a particular point per unit time (generally 1 second) • Saying that a device “draws” 6.24 x 1018 e-/s is unwieldy • 1A = 1 Coulomb / second • Note: 1 Coulomb = 6.24 x 1018 e-

  4. 50:50 Chance … but they got it wrong! • Early electronics pioneers assumed that current flowed from (+)ve to (-)ve • This is known as “conventional current” • Comes up multiple times in E.E. • Turned out to be exactly opposite • We will only consider the correct assertion that electromotive force is generated by the flow of electrons: • (-)ve battery terminal to (+)ve • Electrons flow anode → cathode • ACID: anode current into device

  5. Anodes .. • ACID: Anode current into device • This applies to batteries which are discharging! • In electronics, the anode is generally the (+)ve terminal of a component such as a diode • Consider how the electrons flow for a moment .. • See how this is maddening?

  6. Conductors & Insulators • Conductor: • Any medium which allows the flow of electrical charge (ie. Electrons) • Insulator: • Any medium which (ideally) does not allow the flow of electrical charge • Air breaks down at ~3.3 x 106 V/m or 3.3kV/mm

  7. Controlling Current • Two methods to control the current in a circuit: • Change the voltage applied to the circuit • Provide resistance to the flow of electrons

  8. Controlling Current: Voltage • By stacking cells of a battery in series, you increase the voltage potential!

  9. Controlling Current: Resistance • To influence the flow of electrons (current), you can increase or decrease the ease at which they flow • Hallway analogy • Long, narrow hallway limits the number of people which can walk by a point in any given unit of time • Resistors work much the same way

  10. Resistance: Ohms • Resistance is defined as the ratio between Voltage (E) and Current (I): R = E I

  11. Conductance: mohs (℧) • The ability of a material to conduct electricity is measured in Siemens (G) • Conductance is seldom used • Conductance is effectively the inverse of resistance: • where G = I / E

  12. Resistors: Common Formats • There are many resistor packages, depending on design needs • Resistance value often identified by resistor colour code

  13. Resistors: Identifying Values 15KΩ 276Ω

  14. Resistors: Identification Example Note: 10^0 = 1 • The value of the resistor shown above is 339Ω ±1% 3 x 1 3 9 x 10^0 ±1%

  15. Ohm’s Law • E = E.M.F. = Voltage (Volts) • I = Current (Amps) • R = Resistance (Ohms) E = I x R

  16. Example: Calculate Current • If a circuit has a 12V battery and a “load” which has a resistance of 10Ω Ohms, what is the current observed in the circuit? • Recall: E = I * R • I = E / R • I = 12V / 10Ω • I = 1.2A

  17. Energy And Work • Mechanical forms of energy: • Potential • Kinetic • Electrical energy parallels mechanical • Voltage is often also referred to as potential • Current can be thought of some quantity of electrons in motion (kinetic)

  18. Series Resistor Circuit R3 When drawing this schematic, I should have (by convention) labeled the Resistors R1 through R3 as the electrons (EMF) flow. I inadvertently labeled them in the direction of conventional current. This is more stylistic than anything else, though it is worth mentioning. R2 R1

  19. Series Resistor Circuit • What do we need to know in order to calculate how much current flows in this circuit?

  20. Kirchhoff’s Laws • Loop Rule: • The sum of voltages across all resistors in a series circuit is equal to the applied EMF • Put another way, the total voltage drop equals the supply voltage • Point Rule: • At any node (junction) in a circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node • Restated, the current in a loop is the same at every component

  21. Worked Example: Current • How much current flows in the following circuit? • To find the total resistance in a series circuit, simply add the resistances! E = I / R Rearrange the equation to: I = E / R I = 40V / (5Ω + 25Ω + 10Ω) I = 40V / 40Ω I = 1A

  22. Worked Example: Voltage Drop • What is the voltage drop experienced by each component in the following circuit? • Recall I = 1A E1 = I x R1 E1 = 1A x 5Ω E1 = 5V E2 = I x R2 E2 = 1A x 25Ω E2 = 25V E3 = I x R3 E3 = 1A x 10Ω E3 = 10V + + = 40V

  23. Questions?

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