An inductor is formed by winding N turns of a thin conducting wire into a circular loop of radius a. The inductor loop is in the x-y plane with its center at the origin, and connected to a resistor R, as shown in Fig. 6-3. In the presence of a magnetic field B = Bo(§2+î23) sin wt, where w is the angular frequency. find (a) the magnetic flux linking a single turn of the inductor, (b) the transformer emf, given that N = 10, Bo = 0.2 T, a = 10 cm, and w = 10³ rad/s, (c) the polarity of Vnf at t = 0, and (d) the induced current in the circuit for R = 1 k2 (assume the wire resistance to be much smaller than R). R +Vemf N turns Figure 6-3: Circular loop with N turns in the x-y plane. The magnetic field is B = Bo(§2+ â3) sin wt (Example 6-1).

An inductor is formed by winding N turns of a thin conducting wire into a circular loop of radius a. The inductor loop is in the x-y plane with its center at the origin, and connected to a resistor R, as shown in Fig. 6-3. In the presence of a magnetic field B = Bo(§2+î23) sin wt, where w is the angular frequency. find (a) the magnetic flux linking a single turn of the inductor, (b) the transformer emf, given that N = 10, Bo = 0.2 T, a = 10 cm, and w = 10³ rad/s, (c) the polarity of Vnf at t = 0, and (d) the induced current in the circuit for R = 1 k2 (assume the wire resistance to be much smaller than R). R +Vemf N turns Figure 6-3: Circular loop with N turns in the x-y plane. The magnetic field is B = Bo(§2+ â3) sin wt (Example 6-1).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

Example 6-1: Inductor in a Changing Magnetic Field
An inductor is formed by winding N turns of a thin conducting
wire into a circular loop of radius a. The inductor loop is in
the x-y plane with its center at the origin, and connected to a
resistor R, as shown in Fig. 6-3. In the presence of a magnetic
field B = Bo(§2+23) sin wt, where w is the angular frequency,
find
(a) the magnetic flux linking a single turn of the inductor,
(b) the transformer emf, given that N = 10, Bo = 0.2 T,
a = 10 cm, and w = 10 rad/s,
(c) the polarity of Vf at t = 0, and
(d) the induced current in the circuit for R = 1 k2 (assume
emf
the wire resistance to be much smaller than R).
R
emf
N turns
Figure 6-3: Circular loop with N turns in the x-y plane. The
magnetic field is B = Bo(§2+ 23) sin wt (Example 6-1).

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