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Part A What is the magnitude of the magnetic field B %u20D7 at point a in the fi

ID: 2121367 • Letter: P

Question

Part A What is the magnitude of the magnetic field B%u20D7 at point a in the figure? (Figure 1)
Part B What is the direction of the magnetic field B%u20D7 at point a in the figure?


Part C What is the magnitude of the magnetic field B%u20D7 at point b in the figure?
Part D What is the direction of the magnetic field B%u20D7 at point b in the figure?
Part E What is the magnitude of the magnetic field B%u20D7 at point c in the figure?
Part F What is the direction of the magnetic field B%u20D7 at point c in the figure?



Part B What is the direction of the magnetic field B%u20D7 at point a in the figure?

Part C What is the magnitude of the magnetic field B%u20D7 at point b in the figure?
Part D What is the direction of the magnetic field B%u20D7 at point b in the figure?
Part E What is the magnitude of the magnetic field B%u20D7 at point c in the figure?
Part F What is the direction of the magnetic field B%u20D7 at point c in the figure?



Part D What is the direction of the magnetic field B%u20D7 at point b in the figure?
Part E What is the magnitude of the magnetic field B%u20D7 at point c in the figure?
Part F What is the direction of the magnetic field B%u20D7 at point c in the figure?

Part E What is the magnitude of the magnetic field B%u20D7 at point c in the figure?
Part F What is the direction of the magnetic field B%u20D7 at point c in the figure?
Part F What is the direction of the magnetic field B%u20D7 at point c in the figure?

Explanation / Answer

The fields are clockwise in the direction of positive current flow. With currents being equal and opposite, the total field along the x axis points along +x at all 3 points.
Field from each wire B0 = mu0*I/(2pi*d)
At point b:
d = 0.01 ==> B0 = 0.0002 T
Fields are both along x axis ==> total B = 2B0 = 0.0004 T
At points a and c:
d = sqrt2*0.01 ==> B0 = 0.0002/sqrt(2) T
Fields are 45 deg to x axis ==> total B = sqrt(2)*B0 = 0.0002 T