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Inductor
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Physical Coil A circuit component designed for inductance is an inductor. Symbol suggests coiled wireSymbol suggests coiled wire Ideal inductors act like wires unless the current changes. Emf based on LEmf based on L Real inductors have some resistance. Resistivity of length of wireResistivity of length of wire
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RL Circuit An inductor resists changes in current. Creates emf A switch can be used to complete a circuit with a resistor. One-loop Kirchhoff’s law Treat as additional emf source R I(t)I(t) V L
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Inductive Time Constant The voltage across an inductor falls with time. Change in current decreasesChange in current decreases Never reaches zeroNever reaches zero Overall current increasesOverall current increases The period of time for a decrease by a factor of e is the time constant .
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Exponential Decay The emf of an inductor can be represented by an exponential curve. Depends on battery voltageDepends on battery voltage
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Inductor Current Inductor and resistor voltages sum to battery voltage. Kirchhoff’s voltage law Circuit current can be determined from Ohm’s law
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Disconnection Opening a switch with current flowing is a change in current. The inductor will create an emf to resist the change. For a large current the emf can create a spark. R I(t)I(t) V L
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Safe Discharge A pair of opposite switches can provide a safe path for current in an inductor. A and B always in opposite positionA and B always in opposite position When switch A is closed the battery powers the circuit. When switch B is closed the inductor current flows through the switch and resistor. R I(t)I(t) V L SASA SBSB
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