Two long, parallel wires carry currents of I 1 = 19.0 A and I 2 = 9.5 A in oppos
ID: 1282688 • Letter: T
Question
Two long, parallel wires carry currents of I1 = 19.0 A and I2 = 9.5 A in opposite directions (see figure below). Which of the following statements must be true? More than one statement may be correct.
a) In region I, the magnetic field is into the page and is never zero.
b) In region II, the field is into the page and can be zero.
c) In region III, it is possible for the field to be zero.
d) In region I, the magnetic field is out of the page and is never zero.
e) There are no points where the field is zero.
Which of the following are true?
Two long, parallel wires carry currents of I1 = 19.0 A and I2 = 9.5 A in opposite directions (see figure below). Which of the following statements must be true? More than one statement may be correct. a) In region I, the magnetic field is into the page and is never zero. b) In region II, the field is into the page and can be zero. c) In region III, it is possible for the field to be zero. d) In region I, the magnetic field is out of the page and is never zero. e) There are no points where the field is zero. Which of the following are true?Explanation / Answer
The direction of magnetic field can be known by using the Ampere’s right hand rule. Hold the current carrying wire in your right hand as the stretched thumb showing the direction of the current flow, the curl of the fingers around the wire represents the direction of the magnetic field around the wire.
The direction of the magnetic field due to top wire is out of the page in the region I. The direction of the magnetic field due to bottom wire is into the page in the region I.
The direction of the magnetic field due to top wire is into the page in the region II. The direction of the magnetic field due to bottom wire is into the page in the region II. Therefore, the in the regions II the magnetic field never be zero as the fields due to the wires are adding up. Hence, the option (b) is incorrect.
The direction of the magnetic field due to top wire is into the page in the region III. The direction of the magnetic field due to bottom wire is out of the page in the region III.
The strength of the magnetic field is inversely proportional to the distance from the current carrying conductor.
The magnitude of the current flow in the top wire is greater than that of the bottom wire.
In the region I, the strength of the magnetic field due to the top wire is more than that of the bottom wire and the net field never is zero in this region even the field due to each wire is opposite to each other in this region. As the direction of the fields in the region I are opposite to each other, the magnetic field of top wire dominates the field of bottom wire in this region and the direction of net magnetic field in this region is out of the page.
Hence, the option (a) is incorrect and the option (d) is correct.
In the region III, there will be a chance that the strength of the magnetic field due to the top wire is less equal to that of the bottom wire and there will be a change that the net field is equal to zero in this region. Hence, the option (c) is correct and the option (e) is incorrect.
Hence, the correct options are: (c) and (d).
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