Learning Goal: To understand the units of inductance, the potential energy stored in an inductor, and some of the consequences of having inductance in a circuit After batteries, resistors, and capacitors, the most common elements in circuits are inductors. Inductors usually look like tightly wound coils of fine wire. Unlike capacitors, which produce a physical break in the circuit between the capacitor plates, the wire of an inductor provides an unbroken continuous path in which current can flow. When the current in a circuit is constant, an inductor acts essentially like a short circuit (i.e., a zero- resistance path). In reality, there is always at least a small amount of resistance in the windings of an inductor, a fact that is usually neglected in introductory discussions. Recall that current flowing through a wire generates a magnetic field in the vicinity 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. The magnetic field associated with current flowing through an inductor takes time to create, and time to eliminate when the current is turned off. When the current changes, an EMF is generated in the inductor, according to Faraday's law, that opposes the change in current flow. Thus inductors provide electrical inertia to a circuit by reducing the rapidity of change in the current flow Figure Graph A 3.5 as 005 1 15 2 Time (mm) Graph C 35 ist 0.5 0 05 1 15 Time (m) Graph B ast 051 152 Graph D Time (m) 3st 05 0 0.5 1 15 Time (ms) < 1 of 1 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 &=-LAI Here AI/At characterizes the rate at which the current I through the inductor is changing with time t. ▼ Part A Based 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)? O 1H 1 (V-s-A) 01H=1() 01H=1(VA) 01H=1 (*) 01H=1(VA) Submit Request Answer Part B What 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 0.015 seconds? Express your answer in volts to two significant figures. 17 ΑΣΦΑ Submit Request Answer C ? V Electrical 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 by IT 1rr2
Learning Goal: To understand the units of inductance, the potential energy stored in an inductor, and some of the consequences of having inductance in a circuit After batteries, resistors, and capacitors, the most common elements in circuits are inductors. Inductors usually look like tightly wound coils of fine wire. Unlike capacitors, which produce a physical break in the circuit between the capacitor plates, the wire of an inductor provides an unbroken continuous path in which current can flow. When the current in a circuit is constant, an inductor acts essentially like a short circuit (i.e., a zero- resistance path). In reality, there is always at least a small amount of resistance in the windings of an inductor, a fact that is usually neglected in introductory discussions. Recall that current flowing through a wire generates a magnetic field in the vicinity 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. The magnetic field associated with current flowing through an inductor takes time to create, and time to eliminate when the current is turned off. When the current changes, an EMF is generated in the inductor, according to Faraday's law, that opposes the change in current flow. Thus inductors provide electrical inertia to a circuit by reducing the rapidity of change in the current flow Figure Graph A 3.5 as 005 1 15 2 Time (mm) Graph C 35 ist 0.5 0 05 1 15 Time (m) Graph B ast 051 152 Graph D Time (m) 3st 05 0 0.5 1 15 Time (ms) < 1 of 1 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 &=-LAI Here AI/At characterizes the rate at which the current I through the inductor is changing with time t. ▼ Part A Based 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)? O 1H 1 (V-s-A) 01H=1() 01H=1(VA) 01H=1 (*) 01H=1(VA) Submit Request Answer Part B What 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 0.015 seconds? Express your answer in volts to two significant figures. 17 ΑΣΦΑ Submit Request Answer C ? V Electrical 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 by IT 1rr2
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 2CQ
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