Let the parallel current sheets be as in Figure 7.14. Also let H = H₂ + H₂ where H, and H, are the contributions due to the current sheets z = 0 and z = 4, respec- tively. We make use of eq. (7.23).

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hi can you explain the calculations 

Planes z = 0 and z = 4 carry current K = -10a, A/m and K = 10a, A/m, respectively.
Determine Hat
(a) (1, 1, 1)
(b) (0, -3, 10)
Solution:
Let the parallel current sheets be as in Figure 7.14. Also let
H = H₂ + H₂
4, respec-
where H, and H4 are the contributions due to the current sheets z = 0 and z =
tively. We make use of eq. (7.23).
(a) At (1, 1, 1), which is between the plates (0 < z = 1 < 4),
H₂ = 1/2 K X a,, = 1/2 (-10a,) × a₂ = 5a, A/m
H₁ = 1/2 K X a, = 1/2 (10a,) × (-a) = 5a, A/m
Solved Examples
x-1
(b) At (0, -3, 10), which is above the two sheets (z = 10 > 4> 0),
H₂ = 1/2 (-10a,) × a₂ = 5a, A/m
H₁ = 1/2 (10a,) × a₂ = -5a, A/m
Hence,
H = 0 A/m
Transcribed Image Text:Planes z = 0 and z = 4 carry current K = -10a, A/m and K = 10a, A/m, respectively. Determine Hat (a) (1, 1, 1) (b) (0, -3, 10) Solution: Let the parallel current sheets be as in Figure 7.14. Also let H = H₂ + H₂ 4, respec- where H, and H4 are the contributions due to the current sheets z = 0 and z = tively. We make use of eq. (7.23). (a) At (1, 1, 1), which is between the plates (0 < z = 1 < 4), H₂ = 1/2 K X a,, = 1/2 (-10a,) × a₂ = 5a, A/m H₁ = 1/2 K X a, = 1/2 (10a,) × (-a) = 5a, A/m Solved Examples x-1 (b) At (0, -3, 10), which is above the two sheets (z = 10 > 4> 0), H₂ = 1/2 (-10a,) × a₂ = 5a, A/m H₁ = 1/2 (10a,) × a₂ = -5a, A/m Hence, H = 0 A/m
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