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Biot Savart Law for currents - electromagnetic theory

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(a) Use the Biot-Savart law for currents to analyze the contributions of segments 1 and 5 to the magnetic field at point P.

(b) Compare the contributions of segments 2 and 4 to the magnetic field at point P (both magnitude and direction).

(c) The magnetic field at P is a sum of integrals, each one for a single segment of the wire. Write expressions for all the integrals needed to evaluate the magnetic field at P but do not try to do the integrals. You may draw on the example in your textbook to help you set the integrals up.

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Solution Summary

Detailed, equation based solution for the following problem: (a) Use the Biot-Savart law for currents to analyze the contributions of segments 1 and 5 to the magnetic field at point P. (b) Compare the contributions of segments 2 and 4 to the magnetic field at point P (both magnitude and direction). (c) The magnetic field at P is a sum of integrals, each one for a single segment of the wire. Write expressions for all the integrals needed to evaluate the magnetic field at P but do not try to do the integrals. You may draw on the example in your textbook to help you set the integrals up.

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a.)
By Biot-savart law:
dB =k*I*dl*sin(Q)/r^2
where Q(read as theta) is the angle between dl(length of conductor) and line joining to the point with the conductor.
Because the point P is on the line of conductors 1 and 5. hence the magnetic fields due to these two parts will be zero at P.
(because, here Q (i.e., theta) will be zero)

b.)
magnetic ...

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