Question

A 50.0 cm ✕ 35.0 cm rectangular coil of 20 turns lies in the
horizontal (*x-z*) plane with its 50.0 cm side along the
+*x* axis and its 35.0 cm side along the +*z* axis.
The coil is in the region of a magnetic field

**B** = (2.75 ✕ 10^{−2} T/m ·
s)*zt***ĵ** − (3.65 ✕ 10^{−2}
T/m)* x*.

(a) Determine the magnitude of the induced emf.

mV

(b) What is the direction of the induced emf in the coil as viewed
from the +*y* axis?

counterclockwise or clockwise

Answer #1

A closely wound rectangular coil of 95.0 turns has dimensions of
22.0 cm by 49.0 cm. The plane of the coil is rotated from a
position where it makes an angle of 35.0 ∘ with a magnetic field of
1.20 T to a position perpendicular to the field. The rotation takes
0.120 s. What is the average emf induced in the coil?

The rectangular coil, whose total resistance is 15 Ω and the
number of turns is 80, is 20 cm x 30 cm. This coil rotates at an
angle of 40 rad / s to start moving around the y-axis at the time
of t = 0 in the 1.5 T magnitude magnetic field applied along the
x-axis..
a)The greatest value of emf induced in the coil
b) magnitude of emf induced in t=1.5 seconds

Figure 4 shows a rectangular 95.0 turns coil of wire of
dimensions 50 cm by 30 cm. It carries a current of 1.5 A in the
counterclockwise direction. It is mounted in the x-y plane. The
magnetic field makes an angle of θ= 41.0° with the positive x-axis
and magnitude 1.2 T. Calculate the orientation energy of the coil
in the magnetic field.

Consider a coil with (6 +A) turns and a radius of (3.60 + B) cm.
If a magnetic field at an angle of 35o to the plane of the coil is
changed from 0 T to 1.25 T in (12.0 + C) seconds, what is the
induced EMF in the coil? Give your answer in milli-volts (mV) and
rounded to three significant figures.
A: 1
B: 4
C: 6

A circular coil of wire with 5 turns and a radius of 4.0 cm lies
flat on a table in a region where the magnetic field is 4.5 mT up.
The coil is flipped over in a time of 0.25 s. Is an emf induced in
the coil? If so, what is its average value?

3. Consider a coil with (6 +A) turns and a radius of (3.60 + B)
cm. If a magnetic field at an angle of 35o to the plane of the coil
is changed from 0 T to 1.25 T in (12.0 + C) seconds, what is the
induced EMF in the coil? Give your answer in milli-volts (mV) and
rounded to three significant figures.
A. 8
B. 1
C.12

A flat, circular coil has 40 turns of radius 3.6 cm. At t=0 an
external magnetic field perpendicular to the plane of the coil has
a value of 0.32 T and is decreasing linearly with time. At t = 0,
the induced emf is 65 mV. How long does it take for the field to
reach zero?

A coil 5.00 cm in radius, containing 250 turns, is
placed in a uniform magnetic field that varies with time according
to:
B = (0.230 T/s)t + (4.00 x 10-5
T/s5)t5. The coil is connected to
a 450 ohm resistor, and its plane is perpendicular to the magnetic
field. The resistance of the coil can be
neglected. Find the induced emf in the coil as a
function of time.

An electric generator contains a coil of 125 turns of wire, each
forming a rectangular loop 45.0 cm by 20.0 cm. The coil is placed
entirely in a uniform magnetic field with magnitude B = 3.50 T and
with B-> initially perpendicular to the coil's plane. What is
the maximum value of the emf produced when the coil is spun at 1250
rev/min about an axis perpendicular to B->?

#5. A coil 5.00 cm in radius, containing 250
turns, is placed in a uniform magnetic field that varies with time
according to:
B = (0.230 T/s)t + (4.00 x 10-5
T/s5)t5. The coil is connected to
a 450 ohm resistor, and its plane is perpendicular to the magnetic
field. The resistance of the coil can be
neglected. Find the induced emf in the coil as a
function of time. (20 pts.)

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