Question

A well-made circular coil of wire consisting of 50 turns whose radius is 0.08 m, is made to spin about a diameter at a rate of 3 times every second. If the coil is placed a uniform magnetic field of field strength 0.21 T whose direction is perpendicular to the diameter, what is the peak emf induced in the coil?

A wire has a cross-sectional area of 1.8x10^{-4}
m^{2} and a resistivity of 3.2x10^{-8} ohm-meters.
How long of a piece of this wire is needed to achieve a resistance
of 6.0 ohms?

Answer #1

Solution :

Given :

N = 50

r = 0.08 m

f = 3 Hz

B = 0.21 T

Since: *E*_{max} = N B A
= N B (r^{2})
(2f)
= (50)(0.21 T) ()(0.08
m)^{2} (2)(3
Hz) = **3.979 V**

**.**

**.**

**Given :**

A = 1.8 x 10^{-4} m^{2}

=3.2 x 10^{-8} ohm-meters

R = 6.0 ohms

Since : R = L / A

Thus : L = R A /
= (6.0 ohms)(1.8 x 10^{-4} m^{2}) / (3.2 x
10^{-8} ohm-meters) = **33750 m**

2. A circular coil with 30 turns of wire has a diameter of 2.00
cm. The total resistance of the coil is 0.350 Ω. An applied uniform
magnetic field is directed upward, perpendicular to the plane of
the coil.
a) If the magnetic field changes linearly from 0.000 T to 0.800
T in 0.500 s, what is the induced emf in the coil while the field
is changing?
b) What is the magnitude and direction (CW or CCW when looked...

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The coil is flipped over in a time of 0.25 s. Is an emf induced in
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A tightly wound circular coil has 43 turns, each of radius 0.165
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0.297 T in 0.435s, what average emf is induced in the windings of
the coil?

A five-turn circular wire coil of radius 0.425 m lies in a plane
perpendicular to a uniform magnetic field of magnitude 0.370 T. If
the wire is reshaped from a five-turn circle to a three-turn circle
in 0.101 s (while remaining in the same plane), what is the average
induced emf in the wire during this time?

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
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the induced emf is 65 mV. How long does it take for the field to
reach zero?

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wire 3.0 mm in diameter. A uniform magnetic field, perpendicular to
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a) Determine the current in the loop.
b) Determine the rate at which thermal energy is produced.

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wire 2.8 mm in diameter. A uniform magnetic field, perpendicular to
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a) Determine the current in the loop
b) Determine the rate at which thermal energy is produced.

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wire 3.0 mm in diameter. A uniform magnetic field, perpendicular to
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Part A: Determine the current in the loop.
Part B: Determine the rate at which thermal energy is
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What is the magnetic torque when the plane of the loop is parallel
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