1. Consider two long parallel wires 5.0 cm apart, each carrying a current of 2.0 A in the same direction. Find the magnetic field at point P midway between the two wires.

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1. Consider two long parallel wires 5.0 cm apart, each
carrying a current of 2.0 A in the same direction. Find the
magnetic field at point P midway between the two wires.
2. A closely wound circular coil consists of 500 turns. What
is the current in the coil if the field at its center is 0.055 T?
The radius of the coil is 0.025 m.
3. A DC power line for a light-rail system carries 1000 A at
an angle of 30° to the Earth's 5.0ó x 10 T field. What is
the force on a 100-m section of this line?
4. A 50 cm wire experiences a magnetic force of 2.40 N.
(a) What is the angle between the current and magnetic
field if the mentioned wire carries an 8.00 A current and
has a magnetic field of 1.20 T? (b) What is the force on
the wire if it is rotated to make an angle of 90° with the
field?
5.A particle of charge -6.25 nC experiences a force of 1.25
N when it is moving at 3.75 x 10* m/s. Its motion is
perpendicular to the magnetic field produced by a
current-carrying wire, which is 3.0 cm from it. (a) What is
the magnitude of the magnetic field? (b) How much
current flows through the wire?
6. A closely wound circular coil consists of 500 turns and
carries a current of 4.4 A. The radius of the coil is 0.025 m.
At what distance from the center of the coil is the magnitude
of the magnetic field equal to 0.48 T?
7. Two parallel wires are separated by a distance of 0.05
m. Wire 1 (located at the left) carries a current of 12.0 A.
Wire 2 (located at the right) carries a current of 6.0 A flowing
in the opposite direction.
a. Find the (a) magnitude and direction of the magnetic
field created by wire 1 at wire 2, (b) force exerted by
wire 1 on the 2.0 m long section of wire 2, and (c) force
exerted by wire 2 on wire 1 if current 1 is going up and
current 2 is going down.
b. Find the (a) magnitude and direction of the magnetic
field created by wire 1 at wire 2, (b) force exerted by
wire 1 on the 2.0 m long section of wire 2, and (c) force
exerted by wire 2 on wire 1 if both currents are going
up.
8. What should be the length of an ideal solenoid consisting
of 1250 turns for the magnetic field in its interior to be 0.025
T? A current of 2.0 A is flowing through the solenoid.
Transcribed Image Text:1. Consider two long parallel wires 5.0 cm apart, each carrying a current of 2.0 A in the same direction. Find the magnetic field at point P midway between the two wires. 2. A closely wound circular coil consists of 500 turns. What is the current in the coil if the field at its center is 0.055 T? The radius of the coil is 0.025 m. 3. A DC power line for a light-rail system carries 1000 A at an angle of 30° to the Earth's 5.0ó x 10 T field. What is the force on a 100-m section of this line? 4. A 50 cm wire experiences a magnetic force of 2.40 N. (a) What is the angle between the current and magnetic field if the mentioned wire carries an 8.00 A current and has a magnetic field of 1.20 T? (b) What is the force on the wire if it is rotated to make an angle of 90° with the field? 5.A particle of charge -6.25 nC experiences a force of 1.25 N when it is moving at 3.75 x 10* m/s. Its motion is perpendicular to the magnetic field produced by a current-carrying wire, which is 3.0 cm from it. (a) What is the magnitude of the magnetic field? (b) How much current flows through the wire? 6. A closely wound circular coil consists of 500 turns and carries a current of 4.4 A. The radius of the coil is 0.025 m. At what distance from the center of the coil is the magnitude of the magnetic field equal to 0.48 T? 7. Two parallel wires are separated by a distance of 0.05 m. Wire 1 (located at the left) carries a current of 12.0 A. Wire 2 (located at the right) carries a current of 6.0 A flowing in the opposite direction. a. Find the (a) magnitude and direction of the magnetic field created by wire 1 at wire 2, (b) force exerted by wire 1 on the 2.0 m long section of wire 2, and (c) force exerted by wire 2 on wire 1 if current 1 is going up and current 2 is going down. b. Find the (a) magnitude and direction of the magnetic field created by wire 1 at wire 2, (b) force exerted by wire 1 on the 2.0 m long section of wire 2, and (c) force exerted by wire 2 on wire 1 if both currents are going up. 8. What should be the length of an ideal solenoid consisting of 1250 turns for the magnetic field in its interior to be 0.025 T? A current of 2.0 A is flowing through the solenoid.
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