Exercise 1: A steady current I passes through a conducting wire in the form of a closed path composed by two half- circles with radius R and 2R related by two straight segments AB and CD as shown in the following figure. 2R D k B Determine the magnetic field B(0) at the center O as function of I, R and Ho by applying the Biot-Savart law.

Introductory Circuit Analysis (13th Edition)
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Exercise 1:
A steady current I passes through a conducting wire in the form of a closed path composed by two half-
circles with radius R and 2R related by two straight segments AB and CD as shown in the following figure.
2R
R
A
B
Determine the magnetic field B(0) at the center O as function of I, R and Ho by applying the Biot-Savart
law.
Exercise 2:
An infinite solenoid composed by N turns and contains many couches as given in the following figure. The
internal radius of the solenoid is R1 and its external radius is R2. By applying the Amperes' law, and if you
know that the current in each turn is I and that the external magnetic field is equal to zero:
R2
M
1) Determine the magnetic field at a point M internal to the solenoid (r < R1), with r represents the distance
of the point M from the axis. What you conclude?
2) Determine the magnetic field at a point M situated between the couches of the solenoid (R1 <r< R2),
with r represents the distance of the point M from the axis.
Transcribed Image Text:Exercise 1: A steady current I passes through a conducting wire in the form of a closed path composed by two half- circles with radius R and 2R related by two straight segments AB and CD as shown in the following figure. 2R R A B Determine the magnetic field B(0) at the center O as function of I, R and Ho by applying the Biot-Savart law. Exercise 2: An infinite solenoid composed by N turns and contains many couches as given in the following figure. The internal radius of the solenoid is R1 and its external radius is R2. By applying the Amperes' law, and if you know that the current in each turn is I and that the external magnetic field is equal to zero: R2 M 1) Determine the magnetic field at a point M internal to the solenoid (r < R1), with r represents the distance of the point M from the axis. What you conclude? 2) Determine the magnetic field at a point M situated between the couches of the solenoid (R1 <r< R2), with r represents the distance of the point M from the axis.
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