Physics Help. Please answer all completely. 1. A long straight horizontal wire c
ID: 2034140 • Letter: P
Question
Physics Help. Please answer all completely.
1. A long straight horizontal wire carries a current I = 2.60 A to the left. A positive 1.00 C charge moves to the right at a distance 4.50 m above the wire at constant speed v = 1250 m/s . (Figure 1) What are the magnitude and the direction of the magnetic force on the charge?
A. What is the magnitude B of the magnetic field at the location of the charge due to the current-carrying wire?
2. The unit of current, the ampere, is defined in terms of the force between currents. Two 1.0-meter-long sections of very long wires a distance 2.5 m apart each carry a current of 1.0 A.
What is the force between them? (If the force between two actual wires has this value, the current is defined to be exactly 1 A.)
3. A device called a railgun uses the magnetic force on currents to launch projectiles at very high speeds. An idealized model of a railgun is illustrated in (Figure 1). A 1.2 V power supply is connected to two conducting rails. A segment of copper wire, in a region of uniform magnetic field, slides freely on the rails. The wire has a 0.71 m? resistance and a mass of 5.6 g . Ignore the resistance of the rails. The power supply is switched on.
A. What is the current?
B. What is the magnitude of the force on the wire?
4. Irrigation channels that require regular flow monitoring are often equipped with electromagnetic flowmeters in which the magnetic field is produced by horizontal coils embedded in the bottom of the channel. A particular coil has 100 turns and a diameter of 6.0 m. When it's time for a measurement, a 5.0 A current is turned on. The large diameter of the coil means that the field in the water flowing directly above the center of the coil is approximately equal to the field in the center of the coil. The field is directed downward and the water is flowing east. The water is flowing above the center of the coil at 1.5 m/s .
A. What is the magnitude of the field at the center of the coil?
B.What is the magnitude of the force on an ion with a charge +e?
5. At the equator, the earth’s field is essentially horizontal; near the north pole, it is nearly vertical. In between, the angle varies. As you move farther north, the dip angle, the angle of the earth’s field below horizontal, steadily increases. Green turtles seem to use this dip angle to determine their latitude. Suppose you are a researcher wanting to test this idea. You have gathered green turtle hatchlings from a beach where the magnetic field strength is 50 ?T and the dip angle is 56?. You then put the turtles in a 1.2 m diameter circular tank and monitor the direction in which they swim as you vary the magnetic field in the tank. You change the field by passing a current through a 250-turn horizontal coil wrapped around the tank. This creates a field that adds to that of the earth.
A. What current should you pass through the coil, to produce a net field in the center of the tank that has a dip angle of 62? ?
Explanation / Answer
(1)
Given that,
l = 2.6 A
q = 1 C
r = 4.5 m
v = 1250 m/s
(b)
Magnitrude of magnetic field at the location of the charge due to the current-carrying wire,
B = u0*l / 2*pi*r
B = 4*pi*10^(-7)*2.6 / 2*pi*4.5
B = 1.15*10^(-7) T (into the page).
(a)
magnetic force on the charge,
F = qvB
F = 1*1250*1.15*10^(-7)
F = 1.44*10^(-4) N
Direction- From right hand rule
Force is directed upwards.
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