2. A single-turn coil of a rectangular shape falls down in a space where a uniform magnetic field of magnitude B in a horizontal direction exists above a certain height, as shown in Fig. 2-1. At a sufficiently later time after the bottom of the coil entered in the space without a magnetic field, the coil falls down at a constant speed v. The resistance, the mass, and the horizontal width of the single-turn coil is R, M, and L, respectively. The face of the coil is perpendicular to the magnetic field. The length of the coil in vertical direction is sufficiently long. The acceleration of the gravity is denoted as g. Answer the following questions.

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2. A single-turn coil of a rectangular shape falls down in a space where a uniform
magnetic field of magnitude B in a horizontal direction exists above a certain
height, as shown in Fig. 2-1. At a sufficiently later time after the bottom
of the coil entered in the space without a magnetic field, the coil falls down
at a constant speed r. The resistance, the mass, and the horizontal width
of the single-turn coil is R, M, and L, respectively. The face of the coil is
perpendicular to the magnetic field. The length of the coil in vertical direction
is sufficiently long. The acceleration of the gravity is denoted as g. Answer
the following questions.
↓₁
27
Transcribed Image Text:2. A single-turn coil of a rectangular shape falls down in a space where a uniform magnetic field of magnitude B in a horizontal direction exists above a certain height, as shown in Fig. 2-1. At a sufficiently later time after the bottom of the coil entered in the space without a magnetic field, the coil falls down at a constant speed r. The resistance, the mass, and the horizontal width of the single-turn coil is R, M, and L, respectively. The face of the coil is perpendicular to the magnetic field. The length of the coil in vertical direction is sufficiently long. The acceleration of the gravity is denoted as g. Answer the following questions. ↓₁ 27
(1) Find the electric current passing through the coil.
BUR
BUL
R
RM₂
BL
LMg
BR
(b)
(e)
(d)
(2) Express the speed of the falling coil in terms of other quantities.
(a)
(c)
(d)
(b)
(e)
11/20
BUL
BR
(b)
(e)
R²Mg
B²L
12 Ma
B²R
(3) Find the Joule heat produced in the coil per unit time.
BUL
(c)
R
BUR
L
(c)
(f)
R
BR
L
1
BUR
L
BL
VR
(d)
(4) When the coil is doubly turned, what multiple of the falling speed is that
of the single-turn coil.
(a)
7 (b)
(d) 2
RM₂
B²L2
LMg
B2R2
B²²1²
R
B²²R²
12
4
Transcribed Image Text:(1) Find the electric current passing through the coil. BUR BUL R RM₂ BL LMg BR (b) (e) (d) (2) Express the speed of the falling coil in terms of other quantities. (a) (c) (d) (b) (e) 11/20 BUL BR (b) (e) R²Mg B²L 12 Ma B²R (3) Find the Joule heat produced in the coil per unit time. BUL (c) R BUR L (c) (f) R BR L 1 BUR L BL VR (d) (4) When the coil is doubly turned, what multiple of the falling speed is that of the single-turn coil. (a) 7 (b) (d) 2 RM₂ B²L2 LMg B2R2 B²²1² R B²²R² 12 4
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