A horizontal wire is hung from the ceiling of a room by two massless strings. The wire has a length of 0.20 m and a mass of 0.080 kg. A uniform magnetic field of magnitude 0.070 T is directed from the ceiling to the floor. When a current of I = 42 A exists in the wire, the wire swings upward and, at equilibrium, makes an angle o with respect to the vertical, as the drawing shows. (a) Draw the free-body diagram showing the forces that act on the wire. Account for each of the strings separately. (b) Find the angle p. (c) Find

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 12.2CYU: Check Your Understanding The wire loop forms a full circle of radius R and current I. What is the...
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A horizontal wire is hung from the ceiling
of a room by two massless strings. The
wire has a length of 0.20 m and a mass of
0.080 kg. A uniform magnetic field of
magnitude 0.070 T is directed from the
ceiling to the floor. When a current of I =
42 A exists in the wire, the wire swings
upward and, at equilibrium, makes an
angle o with respect to the vertical, as the
drawing shows. (a) Draw the free-body
diagram showing the forces that act on
the wire. Account for each of the strings
separately. (b) Find the angle p. (c) Find
the tension in each of the two strings.
N
string 2
string 1
Transcribed Image Text:A horizontal wire is hung from the ceiling of a room by two massless strings. The wire has a length of 0.20 m and a mass of 0.080 kg. A uniform magnetic field of magnitude 0.070 T is directed from the ceiling to the floor. When a current of I = 42 A exists in the wire, the wire swings upward and, at equilibrium, makes an angle o with respect to the vertical, as the drawing shows. (a) Draw the free-body diagram showing the forces that act on the wire. Account for each of the strings separately. (b) Find the angle p. (c) Find the tension in each of the two strings. N string 2 string 1
A piece of copper wire has a resistance
per unit length of 4.63 × 10/m. The wire
is wound into a thin, flat coil of many turns
that has a radius of 0.208 m. The ends of
the wire are connected to a 12.0-V
battery. Find the magnetic field strength
at the center of the coil.
Number
i
Units
>
Transcribed Image Text:A piece of copper wire has a resistance per unit length of 4.63 × 10/m. The wire is wound into a thin, flat coil of many turns that has a radius of 0.208 m. The ends of the wire are connected to a 12.0-V battery. Find the magnetic field strength at the center of the coil. Number i Units >
Expert Solution
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As per guidelines we are suppose to do only one question from multiple questions, please post the other question separately.

Given,

Length of the wire, L = 0.20 mmagnitude of magnetic field, B = 0.070 Tcurrent, I= 42 Amass of the wire, m = 0.080 kg

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