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Electrical Calculations. A German school teacher Georg Ohm studied the resistances of materials, and measured the current resulted from different voltages applied to a piece of metal wire. He found the relationship between: The current versus the resistance at constant voltage
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A German school teacher Georg Ohm studied the resistances of materials, and measured the current resulted from different voltages applied to a piece of metal wire. • He found the relationship between: • The current versus the resistance at constant voltage • The current versus Voltage in a specific resistance.
Ohm’s Law: • The ratio of voltage (V) to current (I) is a constant for each material. • This Ratio is equal to the resistance (R) of materials. R= or V= I R • Units used: Voltage is expressed in volts (V) , current is expressed in amperes (A), Resistance is expressed in ohms (Ω) .
Ohm’s Law: • The relationship between current, voltage and resistance: Inversely proportional Directly proportional
Problems on using Ohm’s law: Problem 1: What is the voltage needed to make a current of 3 A in a resistance of 9Ω? Answer: V= I R V= 3 A 9 Ω= 27 V
Problems on using Ohm’s law: Problem 2: What is the current that results from applying 10 V in the presence of a resistance of 2 Ω? Answer: I = V R I = 10 V = 5 A 2 Ω
Electric power: is the rate at which electrical energy is changed into other forms of energy. • The unit is watt (W), and the symbol for power in equations is (P). Power= Voltage current P = V I Another unit of power is kW “Kilowatt”. kW = 1000 W
Electrical calculations: Problem 3: What is the power for a television that draws a current of 0.42 A at 120 V? Answer: P= V I P= 120 V 0.42 A = 50.4 W
Electrical calculations: Problem 4: A car uses a 12V battery. One headlight draws about 3A. What is the power of the headlight? Answer: P= V I P= 12 V 3 A = 36 W
Measuring Electrical energy: Electric power companies keep track “recording” of how much electrical energy a household or business uses. This is done using electric meter. The amount of electrical energy depends on the electrical power used and the length of time. Electrical energy = power time E (kWh) = P (kW) t (h)
Electrical calculations: Problem 5: A small television set draws a current of 0.42A at 120V. What is the power rating for the television? How much energy is used if the television is on for 3 hours? Answer: P= V I = 120 0.42 = 50.4 W = 0.0504 kW E= P t = 0.0504 3 = 0.1512 kWh
Electrical calculations: Problem 6: How much electrical energy does a 100 W light bulb use if it is left on for 24 h? Answer: E= P t E= 0.1 kW 24 h = 2.4 kWh
How to save energy: • Replacing items that have high power ratings with items that have low power ratings. • Turning off lights and instruments when they are not in use.