Q2. a) The second Maxwell equation (M2) states that the divergence of a magnetic field is always zero. What is a divergent field, and what does M2 tell you generally about the distribution of magnetic flux? b) With reference to Figure 2, the Biot-Savart law can be used to show that the magnetic flux density due to a straight current- carrying wire of finite length is given by B=(cos α₂ -cos α₁) â d₁ Figure 2 Show that this expression is consistent with Ampère's law when applied to a long straight current carrying conductor. For parts c) and d), X is the last digit of your student number. For example, if your number is C1700123, then R=11mm, N=17 c) A long current-carrying wire is formed into an N-turn coil, as shown in Figure 3. The coil has radius R = 8+X mm, N = 20-X and the conductor carries a current of 0.5A (the diameter of the wire may be considered negligible) N turns Figure 3 Assuming the relative permeability of the substrate to be 1, calculate the magnitude and direction of the magnetic flux density at position M.
Q2. a) The second Maxwell equation (M2) states that the divergence of a magnetic field is always zero. What is a divergent field, and what does M2 tell you generally about the distribution of magnetic flux? b) With reference to Figure 2, the Biot-Savart law can be used to show that the magnetic flux density due to a straight current- carrying wire of finite length is given by B=(cos α₂ -cos α₁) â d₁ Figure 2 Show that this expression is consistent with Ampère's law when applied to a long straight current carrying conductor. For parts c) and d), X is the last digit of your student number. For example, if your number is C1700123, then R=11mm, N=17 c) A long current-carrying wire is formed into an N-turn coil, as shown in Figure 3. The coil has radius R = 8+X mm, N = 20-X and the conductor carries a current of 0.5A (the diameter of the wire may be considered negligible) N turns Figure 3 Assuming the relative permeability of the substrate to be 1, calculate the magnitude and direction of the magnetic flux density at position M.
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X = 8 and Y = 4
Transcribed Image Text:Q2. a) The second Maxwell equation (M2) states that the divergence of
a magnetic field is always zero. What is a divergent field, and
what does M2 tell you generally about the distribution of magnetic
flux?
b) With reference to Figure 2, the Biot-Savart law can be used to
show that the magnetic flux density due to a straight current-
carrying wire of finite length is given by
B = (cos α₂ - cos α₁) â
4fr
a₂
d₂
Figure 2
Show that this expression is consistent with Ampère's law when
applied to a long straight current carrying conductor.
For parts c) and d), X is the last digit of your student number.
For example, if your number is C1700123, then R=11mm, N=17
c) A long current-carrying wire is formed into an N-turn coil, as
shown in Figure 3. The coil has radius R = 8+X mm, N = 20-X and
the conductor carries a current of 0.5A (the diameter of the wire
may be considered negligible)
N turns
Figure 3
Assuming the relative permeability of the substrate to be 1,
calculate the magnitude and direction of the magnetic flux density
at position M.
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Follow-up Question
could you please specify which numbers are superscripts ie the the πa2 written as πa2?
Also section B still doesn't go back to B=μorI/4πa but instead B=μorI2πa2, why is that the case?
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