A rectangular wire loop with length a and width b lies in the xy -plane, as shownbelow. Within the loop there is a time-dependent magnetic field given by B → ( t ) = C ( ( x cos ω t ) i ^ + ( y sin ω t ) k ^ ) ,with B → ( t ) intesla. Determine the emf induced in the loop as a function of time.
A rectangular wire loop with length a and width b lies in the xy -plane, as shownbelow. Within the loop there is a time-dependent magnetic field given by B → ( t ) = C ( ( x cos ω t ) i ^ + ( y sin ω t ) k ^ ) ,with B → ( t ) intesla. Determine the emf induced in the loop as a function of time.
A rectangular wire loop with length a and width b lies in the xy-plane, as shownbelow. Within the loop there is a time-dependent magnetic field given by
B
→
(
t
)
=
C
(
(
x
cos
ω
t
)
i
^
+
(
y
sin
ω
t
)
k
^
)
,with
B
→
(
t
)
intesla. Determine the emf induced in the loop as a function of time.
Compute the induced EMF in the small circular loop of wire centered at x=x0 and
y=y0 on x-y plane resulting from the time varying magnetic diplole directed into the direction of z
located on z axis at z=z0. The dipole moment of m of magnetic dipole is m = m, cos(ot) . The
radius of small circular loop of wire is r1.(r1<
An infinite straight wire carries current I₁ = 3.7 A in the positive y-
direction as shown. At time t = 0, a conducting wire, aligned with the
y-direction is located a distance d = 54 cm from the y-axis and moves
with velocity v = 12 cm/s in the negaitve x-direction as shown. The
wire has length W = 26 cm.
1₁
a
X
1) What is (0), the emf induced in the moving wire at t = 0? Define the emf to be positive if the potential at point a is
higher than that at point b.
42.7E-9
V Submit
2) What is e(t₁), the emf induced in the moving wire at t = t₁ = 3 s? Define the emf to be positive if the potential at
point a is higher than that at point b.
V Submit
b
W
The conducting loop of the shape shown in the figure is being pulled out of a constantBext magnetic field at a constant speed v. The left part of the loop KN is a semicircle ofradius a. The top and the bottom parts of the loop are equal, KL=NM=b. Theresistance per unit length of the conductor is r (Ω/m). During the time intervalbetween when line LM and then KN are at the border of the magnetic field,a) What is the direction ofthe induced current? Explainyour choice of direction.b) What is the EMFproduced in the loop?c) What is the size of theinduced current?
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