20.0 cm20.0 cm (b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs?The plane of the coil is perpendicular to the magnetic fieldThe plane of the coil is oriented 45° with respect to the magnetic fieldThe plane of the coil is parallel to the magnetic field

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Asked Nov 19, 2019
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A 117-turn square coil of side 20.0 cm rotates about a vertical axis at ω = 1.59  103 rev/min as indicated in the figure below. The horizontal component of Earth's magnetic field at the coil's location is equal to

2.00 x10-5 T.

(a) Calculate the maximum emf induced in the coil by this field.

20.0 cm
20.0 cm
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20.0 cm 20.0 cm

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(b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs?
The plane of the coil is perpendicular to the magnetic field
The plane of the coil is oriented 45° with respect to the magnetic field
The plane of the coil is parallel to the magnetic field
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(b) What is the orientation of the coil with respect to the magnetic field when the maximum emf occurs? The plane of the coil is perpendicular to the magnetic field The plane of the coil is oriented 45° with respect to the magnetic field The plane of the coil is parallel to the magnetic field

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Expert Answer

Step 1

Given:

Number of turns = 117

Area of coil = (0.2)2 m2

Angular frequency = 1.59 X 103 rev/min

                               = 166.5044 rad/sec

Magnetic field, B = 2.00 x10-5 T.

Step 2

Part (a): The maximum emf induced in the coil

e NBAo
where
Nis the no. of turns
Bis the magnetic field
Ais the area
ois the angular velocity
plug in the values
e 117x 2x10 x (0.2) x 166.50
e 1558.44 x10v
e 0.0155844V
e 0.02V
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e NBAo where Nis the no. of turns Bis the magnetic field Ais the area ois the angular velocity plug in the values e 117x 2x10 x (0.2) x 166.50 e 1558.44 x10v e 0.0155844V e 0.02V

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Step 3

Part (b): for maximum emf

Plane of coil must ...

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Magnetic Effects of Current

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