Question

Part III: Two wires (1 and 2) are oriented perpendicular to the page, as shown. Each wire is located a distance L= 0.40 m away from the origin and carries an unknown current. The total magnetic field at the origin due to both currents has magnitude 4.20 × 10?? T (0.042 mT) and is directed 35° from the +x axis. Each wire is the same distance L from the origin. (Ignore the Earth's magnetic field in this problem.) Wire 1 A. Suppose that the current in wire 1 were temporarily turned off. L L $B_{total} = 0.042 mT$ 35° +x What would be the magnitude and direction of the magnetic field at the origin? Explain how you know. (Hint: Which component of the original magnetic field, $B_{total}$, would remain: the x-component or the y-component?) Wire 2 B. On the basis of your answer to part A (on the preceding page), determine the magnitude (in A) and direction (into or out of the page?) of the current through wire 2. Clearly show all work. C. Repeat parts A and B, except this time imagine that the current in wire 2 were temporarily turned off (and the current in wire 1 were still flowing). Determine the magnitude (in A) and direction (into or out of the page?) of the current through wire 1. Clearly show all work. D. With the currents in both wires turned back on, suppose now that a negatively charged particle with q = -4.20 × 10?? C traveled through the origin with speed 3.00 × 10? m/s in the +y direction. Determine the magnitude and direction of the force exerted on the particle when it passes through the origin. Clearly show all work.

          Part III: Two wires (1 and 2) are oriented perpendicular to the page, as shown. Each wire is located a
distance L= 0.40 m away from the origin and carries an unknown current.
The total magnetic field at the origin due to both currents has
magnitude 4.20 × 10?? T (0.042 mT) and is directed 35° from the
+x axis. Each wire is the same distance L from the origin. (Ignore
the Earth's magnetic field in this problem.)
Wire 1
A. Suppose that the current in wire 1 were temporarily turned off.
L
L
$B_{total} = 0.042 mT$
35°
+x
What would be the magnitude and direction of the magnetic
field at the origin? Explain how you know. (Hint: Which
component of the original magnetic field, $B_{total}$, would remain:
the x-component or the y-component?)
Wire 2
B. On the basis of your answer to part A (on the preceding page), determine the magnitude (in A) and
direction (into or out of the page?) of the current through wire 2. Clearly show all work.
C. Repeat parts A and B, except this time imagine that the current in wire 2 were temporarily turned off
(and the current in wire 1 were still flowing).
Determine the magnitude (in A) and direction (into or out of the page?) of the current through wire 1.
Clearly show all work.
D. With the currents in both wires turned back on, suppose now that a negatively charged particle with
q = -4.20 × 10?? C traveled through the origin with speed 3.00 × 10? m/s in the +y direction.
Determine the magnitude and direction of the force exerted on the particle when it passes through
the origin. Clearly show all work.

Part III: Two wires (1 and 2) are oriented perpendicular to the page, as shown. Each wire is located a
distance L= 0.40 m away from the origin and carries an unknown current.
The total magnetic field at the origin due to both currents has
magnitude 4.20 × 10?? T (0.042 mT) and is directed 35° from the
+x axis. Each wire is the same distance L from the origin. (Ignore
the Earth's magnetic field in this problem.)
Wire 1
A. Suppose that the current in wire 1 were temporarily turned off.
L
L
Btotal = 0.042 mT
35°
+x
What would be the magnitude and direction of the magnetic
field at the origin? Explain how you know. (Hint: Which
component of the original magnetic field, Btotal, would remain:
the x-component or the y-component?)
Wire 2
B. On the basis of your answer to part A (on the preceding page), determine the magnitude (in A) and
direction (into or out of the page?) of the current through wire 2. Clearly show all work.
C. Repeat parts A and B, except this time imagine that the current in wire 2 were temporarily turned off
(and the current in wire 1 were still flowing).
Determine the magnitude (in A) and direction (into or out of the page?) of the current through wire 1.
Clearly show all work.
D. With the currents in both wires turned back on, suppose now that a negatively charged particle with
q = -4.20 × 10?? C traveled through the origin with speed 3.00 × 10? m/s in the +y direction.
Determine the magnitude and direction of the force exerted on the particle when it passes through
the origin. Clearly show all work.

Added by Tami P.

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