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Ohm’s Law Definition Whiteboards An Elaborate Analogy. + -. A. R. Ohm’s Law V = Voltage (like pressure) I = Current (like flow rate). V. R = V I R = Resistance in ohms ( ) V = Voltage in Volts (V) (pressure) I = Current in Amps (A) (flowrate). + -. A. R.
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Ohm’s Law • Definition • Whiteboards • An Elaborate Analogy
+ - A R • Ohm’s Law • V = Voltage (like pressure) • I = Current (like flow rate) V • R =V • I • R = Resistance in ohms () • V = Voltage in Volts (V) (pressure) • I = Current in Amps (A) (flowrate)
+ - A R • Ohm’s Law - The way I think of it • V = Voltage (like pressure) • I = Current (like flowrate) • R = Resistance to flow V • I =V • R • R = Resistance in ohms () • V = Voltage in Volts (V) (pressure) • I = Current in Amps (A) (flowrate)
+ - A Black 0 Brown 1 Red 2 Orange 3 Yellow 4 Green 5 Blue 6 Violet 7 Gray 8 White 9 Gold 5% Silver 10% No color 20% R Ohm’s Law V • I = V • R • R = Resistance in ohms () • V = Voltage in Volts (V) (pressure) • I = Current in Amps (A) (flowrate) • Demo - pass around resistors • (two properties - power and resistance) • Demo - power supply, resistor, light bulb • (show increase/decrease V, and R)
Ohm’s Law + - A 120. mA 12.0 V • R =V • I • R = Resistance in ohms () • V = Voltage in Volts (V) (pressure) • I = Current in Amps (A) (flowrate) R= ?? Example 1: What is the resistance in the circuit above? R = V/I = (12.0 V)/(.120 A) = 100. Example 2: If there is a 220 resistor in the circuit above, what is the current? R = V/I, I = V/R = (12.0 V)/(220 ) = .05454 = .055 A or 55 mA
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What is the resistance of a light bulb if it draws 250 mA of current from a 6.15 V battery? (1000 mA = 1 A) • Given: • R = V • I • R = ?? • V = 6.15 V • I = .250 A • R = 24.6 W 24.6
What current will flow if you plug a paperclip with a resistance of .065 into a 12 V source? • Given: • R = V • I • R = .065 • V = 12 V • I = ?? • I = 184.6 A W 180 A
What voltage do you need to push 1.5 Amps of current through a 210 ohm resistor? • Given: • R = V • I • R = 210 • V = ?? • I = 1.5 A • V = 315 V W 315 V
What current flows through an 8.1 ohm speaker when there is a voltage of 3.45 V? • Given: • R = V • I • R = 8.1 • V = 3.45 V • I = ?? • I = 0.425925926 • I = .43 A W .43 A
An unknown resistor draws .0128 Amps of current from a 23.9 V source. What is the resistance? • Given: • R = V • I • R = ?? • V = 23.9 V • I = .0128 • R = 1867.1875 • R = 1870 W 1870
A 1200 ohm resistor is hooked up to an unknown voltage source, and it draws 87.5 mA of current. What is the voltage? • Given: • R = V • I • R = 1200 • V = ?? • I = .0875 A • V = 105 V W 105 V
A 670 ohm resistor is connected to a 1.5 V battery. What time will it take for 3.0 C of charge to flow from the battery? • Given: • R = V • I • I =q • t • R = 670 • V = 1.5 V • I = ?? • q = 3.0 C • t = ?? • t = 1340 s W 1340 s
A 3.0 V battery with a capacity of 350 mAh (350 milli amp hours) is drained in 4 hours and 27 minutes. What is the resistance of the circuit that it is attached to? • Given: • R = V • I • I =q • t • R = ?? • V = 3.0 V • I = ?? • q = (.350e-3)(3600) = 1260 C • t = 4*3600 + 27*60 = 16020 s • R = 38.14286= 38 W 38
+ - Symbols A Cell. + and -, Infinite current, R = 0, what’s really inside A Battery of cells A resistor A voltmeter, R = infinity V3 An ammeter, R = 0 A3
+ - An analogy Water in pipes: Electrons in wires: Flow rate (GPM) Current (Amps = C/s) Pressure Voltage Constriction Resistance Constant P Pump Batteries/Cells Current convention Restriction Wires are superconductors R1 A3 R2