Item 10Learning Goal:To understand the units of inductance, the potential energy stored in aninductor, and some of the consequences of having inductance in a circuit.After batteries, resistors, and capacitors, the most common elements incircuits are inductors. Inductors usually look like tightly wound coils of finewire. Unlike capacitors, which produce a physical break in the circuitbetween the capacitor plates, the wire of an inductor provides an unbrokencontinuous path in which current can flow. When the current in a circuit isconstant, an inductor acts essentially like a short circuit (i.e., a zero-resistance path). In reality, there is always at least a small amount ofresistance in the windings of an inductor, a fact that is usually neglected inintroductory discussions.Recall that current flowing through a wire generates a magnetic field in thevicinity of the wire. If the wire is coiled, such as in a solenoid or an inductor,the magnetic field is strongest within the coil parallel to its axis. Themagnetic field associated with current flowing through an inductor takes timeto create, and time to eliminate when the current is turned off. When thecurrent changes, an EMF is generated in the inductor, according toFaraday's law, that opposes the change in current flow. Thus inductorsprovide electrical inertia to a circuit by reducing the rapidity of change in thecurrent flow.FigureGraph AGraph B3.50.5BET0 0.5 1 1.50 0.5 1 1.5 2Time (ms)Time (ms)Graph D0Current (mA)3.5(e)ال في المن ال -Graph C3.52.500.5 1 1.5Time (ms)Current (mA)Current (mA)•40 310 310-53525-51 of 10.5 1 1.5Time (ms)Part CElectrical potential energy U is stored within an inductor in the form of a magnetic field when current is flowing through the inductor. In terms of the current I and the inductance L,the stored electrical potential energy is given byU = 1/LI².Which of the following changes would increase the potential energy stored in an inductor by a factor of 5?Check all that apply.O increasing the inductance by a factor of 5; leaving the current unchangedO leaving the inductance unchanged; increasing the current by a factor of 5Oleaving the inductance unchanged; increasing the current by a factor of √5O reducing the inductance by a factor of 5; increasing the current by a factor of 5O increasing the inductance by a factor of 5; reducing the current by a factor of 5SubmitPart DRequest AnswerAs indicated by the equation in the introduction to this part, the current flowing through an inductor is related to the amount of electrical potential energy stored in the inductor. If thecurrent is graphed as a function of time, the slope of the curve indicates the rate at which potential energy in the inductor is increasing or decreasing. The rate at which energychanges over time is known as power.Energy cannot be delivered to the inductor infinitely fast, nor can it be dissipated instantaneously in the form of heat or light by other circuit elements. Thus power can never beinfinite. This implies that the curve of current versus time must be continuous. A graph is discontinuous when it contains a point at which the current jumps from one value to anotherwithout taking on all the values in between. When this happens, the slope of the curve at that location is infinite, which would imply infinite power in this case.10 of 15Submit Request AnswerProvide FeedbackReviewWhich of the graphs illustrate how the current through an inductor might possibly change over time? (Figure 1)Type the numbers corresponding to the right answers in alphabetical order. Do not use commas. For instance, if you think that only graphs C and D are correct, typeCD.P PearsonNext Item 10Learning Goal:To understand the units of inductance, the potential energy stored in aninductor, and some of the consequences of having inductance in a circuit.After batteries, resistors, and capacitors, the most common elements incircuits are inductors. Inductors usually look like tightly wound coils of finewire. Unlike capacitors, which produce a physical break in the circuitbetween the capacitor plates, the wire of an inductor provides an unbrokencontinuous path in which current can flow. When the current in a circuit isconstant, an inductor acts essentially like a short circuit (i.e., a zero-resistance path). In reality, there is always at least a small amount ofresistance in the windings of an inductor, a fact that is usually neglected inintroductory discussions.Recall that current flowing through a wire generates a magnetic field in thevicinity of the wire. If the wire is coiled, such as in a solenoid or an inductor,the magnetic field is strongest within the coil parallel to its axis. Themagnetic field associated with current flowing through an inductor takes timeto create, and time to eliminate when the current is turned off. When thecurrent changes, an EMF is generated in the inductor, according toFaraday's law, that opposes the change in current flow. Thus inductorsprovide electrical inertia to a circuit by reducing the rapidity of change in thecurrent flow.FigureGraph ACurrent (mA)2515Current (mA)0.50Graph C3.52.51.50.500.5 1 1.5Time (ms)0.5 1 1.5Time (ms)2Graph B3.5Current (mA)0.5Graph D(m)Current (mA)0والا فا الاب الاب ال-3.51.50.50.5 11.5 2Time (ms)0.5 11.5Time (ms)1 of 1ε =-LAIΔΙHere AI/At characterizes the rate at which the current I through the inductor is changing with time t.Inductance is usually denoted by L and is measured in SI units of henries (also written henrys, and abbreviated H), named after Joseph Henry, a contemporary of Michael Faraday.The EMF & produced in a coil with inductance L is, according to Faraday's law, given by▼Part ABased on the equation given in the introduction, what are the units of inductance L in terms of the units of E, t, and I (respectively volts V, seconds s, and amperes A)?1 H = 1 (V.s. A)○ 1H=1(VS)0 1H=1 (VA)(SA)O 1 H = 1O 1 H = 1SubmitPart BV.S.ARequest Answer—| ΑΣΦSubmitWhat EMF is produced if a waffle iron that draws 2.5 amperes and has an inductance of 560 millihenries is suddenly unplugged, so the current drops to essentially zero in 0.015seconds?Express your answer in volts to two significant figures.Request Answer?

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Item 10Learning Goal:To understand the units of inductance, the potential energy stored in aninductor, and some of the consequences of having inductance in a circuit.After batteries, resistors, and capacitors, the most common elements incircuits are inductors. Inductors usually look like tightly wound coils of finewire. Unlike capacitors, which produce a physical break in the circuitbetween the capacitor plates, the wire of an inductor provides an unbrokencontinuous path in which current can flow. When the current in a circuit isconstant, an inductor acts essentially like a short circuit (i.e., a zero-resistance path). In reality, there is always at least a small amount ofresistance in the windings of an inductor, a fact that is usually neglected inintroductory discussions.Recall that current flowing through a wire generates a magnetic field in thevicinity of the wire. If the wire is coiled, such as in a solenoid or an inductor,the magnetic field is strongest within the coil parallel to its axis. Themagnetic field associated with current flowing through an inductor takes timeto create, and time to eliminate when the current is turned off. When thecurrent changes, an EMF is generated in the inductor, according toFaraday's law, that opposes the change in current flow. Thus inductorsprovide electrical inertia to a circuit by reducing the rapidity of change in thecurrent flow.FigureGraph AGraph B3.50.5BET0 0.5 1 1.50 0.5 1 1.5 2Time (ms)Time (ms)Graph D0Current (mA)3.5(e)ال في المن ال -Graph C3.52.500.5 1 1.5Time (ms)Current (mA)Current (mA)•40 310 310-53525-51 of 10.5 1 1.5Time (ms)Part CElectrical potential energy U is stored within an inductor in the form of a magnetic field when current is flowing through the inductor. In terms of the current I and the inductance L,the stored electrical potential energy is given byU = 1/LI².Which of the following changes would increase the potential energy stored in an inductor by a factor of 5?Check all that apply.O increasing the inductance by a factor of 5; leaving the current unchangedO leaving the inductance unchanged; increasing the current by a factor of 5Oleaving the inductance unchanged; increasing the current by a factor of √5O reducing the inductance by a factor of 5; increasing the current by a factor of 5O increasing the inductance by a factor of 5; reducing the current by a factor of 5SubmitPart DRequest AnswerAs indicated by the equation in the introduction to this part, the current flowing through an inductor is related to the amount of electrical potential energy stored in the inductor. If thecurrent is graphed as a function of time, the slope of the curve indicates the rate at which potential energy in the inductor is increasing or decreasing. The rate at which energychanges over time is known as power.Energy cannot be delivered to the inductor infinitely fast, nor can it be dissipated instantaneously in the form of heat or light by other circuit elements. Thus power can never beinfinite. This implies that the curve of current versus time must be continuous. A graph is discontinuous when it contains a point at which the current jumps from one value to anotherwithout taking on all the values in between. When this happens, the slope of the curve at that location is infinite, which would imply infinite power in this case.10 of 15Submit Request AnswerProvide FeedbackReviewWhich of the graphs illustrate how the current through an inductor might possibly change over time? (Figure 1)Type the numbers corresponding to the right answers in alphabetical order. Do not use commas. For instance, if you think that only graphs C and D are correct, typeCD.P PearsonNext > Item 10Learning Goal:To understand the units of inductance, the potential energy stored in aninductor, and some of the consequences of having inductance in a circuit.After batteries, resistors, and capacitors, the most common elements incircuits are inductors. Inductors usually look like tightly wound coils of finewire. Unlike capacitors, which produce a physical break in the circuitbetween the capacitor plates, the wire of an inductor provides an unbrokencontinuous path in which current can flow. When the current in a circuit isconstant, an inductor acts essentially like a short circuit (i.e., a zero-resistance path). In reality, there is always at least a small amount ofresistance in the windings of an inductor, a fact that is usually neglected inintroductory discussions.Recall that current flowing through a wire generates a magnetic field in thevicinity of the wire. If the wire is coiled, such as in a solenoid or an inductor,the magnetic field is strongest within the coil parallel to its axis. Themagnetic field associated with current flowing through an inductor takes timeto create, and time to eliminate when the current is turned off. When thecurrent changes, an EMF is generated in the inductor, according toFaraday's law, that opposes the change in current flow. Thus inductorsprovide electrical inertia to a circuit by reducing the rapidity of change in thecurrent flow.FigureGraph ACurrent (mA)2515Current (mA)0.50Graph C3.52.51.50.500.5 1 1.5Time (ms)0.5 1 1.5Time (ms)2Graph B3.5Current (mA)0.5Graph D(m)Current (mA)0والا فا الاب الاب ال-3.51.50.50.5 11.5 2Time (ms)0.5 11.5Time (ms)1 of 1ε =-LAIΔΙHere AI/At characterizes the rate at which the current I through the inductor is changing with time t.Inductance is usually denoted by L and is measured in SI units of henries (also written henrys, and abbreviated H), named after Joseph Henry, a contemporary of Michael Faraday.The EMF & produced in a coil with inductance L is, according to Faraday's law, given by▼Part ABased on the equation given in the introduction, what are the units of inductance L in terms of the units of E, t, and I (respectively volts V, seconds s, and amperes A)?1 H = 1 (V.s. A)○ 1H=1(VS)0 1H=1 (VA)(SA)O 1 H = 1O 1 H = 1SubmitPart BV.S.ARequest Answer—| ΑΣΦSubmitWhat EMF is produced if a waffle iron that draws 2.5 amperes and has an inductance of 560 millihenries is suddenly unplugged, so the current drops to essentially zero in 0.015seconds?Express your answer in volts to two significant figures.Request Answer?< 10 of 15VPearsonReviewElectrical potential energy U is stored within an inductor in the form of a magnetic field when current is flowing through the inductor. In terms of the current I and the inductance L,the stored electrical potential energy is given byTT - 1 T.T2

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