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Lösning:<br />

F<br />

a<br />

2<br />

−7<br />

B<br />

F 0,<br />

5 ⋅ 2 ⋅ 4π<br />

⋅10<br />

= ⇒ B = 2µ<br />

0 =<br />

= 0,<br />

22 T<br />

2µ<br />

a<br />

−6<br />

0<br />

27 ⋅10<br />

−6 −6<br />

Φ = B ⋅ a = 0, 22 ⋅ 27 ⋅ 10 = 5, 8 ⋅10<br />

Wb<br />

−3<br />

( 12 + 12 + 20 + 20)<br />

⋅10<br />

5<br />

R mJärn =<br />

= 9,<br />

4 ⋅10<br />

A / Wb<br />

−7 −6<br />

4 ⋅ π ⋅10 ⋅ 2000 ⋅ 27 ⋅10<br />

(får försummas)<br />

−3<br />

1⋅10<br />

7<br />

R mgap =<br />

= 2,<br />

9 ⋅10<br />

A / Wb<br />

−7 −6<br />

4 ⋅ π ⋅10 ⋅ 27 ⋅10<br />

Rm = Rmgap + RmJärn = 3⋅10 7 A / Wb<br />

Ohms lag för den magnetiska kretsen:<br />

-6 -7<br />

Fm<br />

= Φ ⋅ Rm<br />

= 5,8⋅10 ⋅3⋅10 = 177 At<br />

11

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