We are interested in the magnetic field at an ob- servation location with coordinates <1, 1,0 >m. At the moment of interest, there is a negatively charged particle with a charge q of -25µC moving through the point < 1,0,0 >m with a velocity v₁ of 200m/s in the negative x-direction, as shown in the figure. There is also a current of 12.5 milliampere flowing in the negative z-direction through a very long straight wire that crosses the x-y-plane at <5, 2,0>m. 1+ obs 9 = -25μC x -1 3 V₁ = 200m/s I= 12.5mA -2+ 1. [4pts] Calculate the unit vector B₁ in the direction of the magnetic field B, at the observation location that is caused by the moving charge. 2. [6pts] Calculate the unit vector BI in the direction of the magnetic field BỊ at the observation location that is caused by the wire current. 3. [10pts] Calculate the field B₁ (in Tesla) at the observation location due to the moving charge. 4. [10pts] Determine the net field Bnet = B₁+ BỊ at the observation location.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 80P
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We are interested in the magnetic field at an ob-
servation location with coordinates <1, 1,0 >m.
At the moment of interest, there is a negatively
charged particle with a charge q of -25µC moving
through the point < 1,0,0 >m with a velocity v₁ of
200m/s in the negative x-direction, as shown in the
figure. There is also a current of 12.5 milliampere
flowing in the negative z-direction through a very
long straight wire that crosses the x-y-plane at
<5, 2,0>m.
1+
obs
9 =
-25μC
x
-1
3
V₁ = 200m/s
I= 12.5mA
-2+
1. [4pts] Calculate the unit vector B₁ in the direction of the magnetic field B, at the observation location that
is caused by the moving charge.
2. [6pts] Calculate the unit vector BI in the direction of the magnetic field BỊ at the observation location that
is caused by the wire current.
3. [10pts] Calculate the field B₁ (in Tesla) at the observation location due to the moving charge.
4. [10pts] Determine the net field Bnet = B₁+ BỊ at the observation location.
Transcribed Image Text:We are interested in the magnetic field at an ob- servation location with coordinates <1, 1,0 >m. At the moment of interest, there is a negatively charged particle with a charge q of -25µC moving through the point < 1,0,0 >m with a velocity v₁ of 200m/s in the negative x-direction, as shown in the figure. There is also a current of 12.5 milliampere flowing in the negative z-direction through a very long straight wire that crosses the x-y-plane at <5, 2,0>m. 1+ obs 9 = -25μC x -1 3 V₁ = 200m/s I= 12.5mA -2+ 1. [4pts] Calculate the unit vector B₁ in the direction of the magnetic field B, at the observation location that is caused by the moving charge. 2. [6pts] Calculate the unit vector BI in the direction of the magnetic field BỊ at the observation location that is caused by the wire current. 3. [10pts] Calculate the field B₁ (in Tesla) at the observation location due to the moving charge. 4. [10pts] Determine the net field Bnet = B₁+ BỊ at the observation location.
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