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Published byElfreda Booker Modified over 9 years ago
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Introduction to Circuit Theory
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Image Source: Wikipedia
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Charge is measured in Coulombs (C) 1 C = 6.24 x 10 18 electrons Conventional Current flows from positive to negative Electrons actually flow from negative to positive
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The measure of the rate of electron flow in a circuit Measured in Amperes (A) 1 mA (milliamp) = 0.001 A 1 µA (microamp)= 0.001 mA Direct Current (DC) Flow of electricity (current) in an unchanging direction Alternating Current (AC) Current flows in different directions
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Image Source: Electronics Demystified
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Opposition that a component of device offers to the flow of an electric current Unit of resistance is Ohm Ω 1 kilohm (k Ω) = 1000 Ω 1 megohm (m Ω) = 1,000 k Ω or 1,000,000 Ω Good conductors have low resistance Good insulators have high resistance Assumption in circuit analysis: Resistance of an ideal resistor is constant and does not vary in time
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Standard unit of EMF is the volt (V) Voltage is the measure of work done to move a charge from one point to another in an electric field 1 mV (millivolt) = 0.001 V 1 µV (microvolt)= 0.001 mV Voltage is referred to as “electric potential” or “electric pressure” More voltage in a circuit means more potential for current
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V = IR I = V / R R = V / I V – Voltage I – Current R - Resistance V IR
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DC is 10 V and potentiometer is 10 Ω. What is the current? Potentiometer is 100 Ω and current is 10 mA. What is voltage across the resistance? Potentiometer is uncalibrated. Voltmeter reads 24 V and Ammeter 3A. What is the resistance?
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Measure in Watts (W) P = IV P = I 2 R P = V 2 / R V IR
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Resistance in Series Values are added to get total resistance Resistance in Parallel Overall resistance decreases Conductance (S) siemens ▪ G= 1 / R Add conductances to get total resistance
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V1 = V2 = V3 I = I1 + I2 + I3 1 / R eq = 1 /R 1 + 1/R 2 + 1/R 3
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Current Law – Kirchoff’s First Rule The total current entering a junction in a circuit must equal the sum of the currents leaving that junction Principle of conservation of electric charge I 1 = I 2 + I 3 I 2 = I 1 – I 3 I 3 = I 1 – I2
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Voltage Law – Kirchoff’s Second Rule The directed sum of the emfs (potential differences) around any closed circuit it zero Principle of conservation of energy -V B + V 1 + V 2 = 0 -V 2 - V 3 + V 4 = 0 -V B + V 1 - V 3 + V 4 = 0
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It is possible to simplify a linear circuit, no matter how complex to an equivalent circuit with just a single voltage source and series resistance connected to a load
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