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(Solved): below is a tip for question 11-3 Write the expressions for LkJ as functions of m, where k ...


11-3 Write the expressions for \( L_{k J} \) as functions of \( \theta_{m} \), where \( k \equiv a, b, c \) and \( J \equiv A

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\[ 11-3 \] - All answers will take the form of \( L_{k j}=L_{m 1 \text { phase }} \cdot K \) where \( K \) is a function of \
11-3 Write the expressions for as functions of , where and . - All answers will take the form of where is a function of (rotor position).


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The problem statement asks us to write expressions for LkJ as functions of ?m, where k can take values a, b, or c, and J can take values A, B, or C. We are given a tip that all the answers will take the form of Lkj = Lm1_phase ? K, where K is a function of ?m (rotor position).


To solve this, we need to determine the specific form of the function K for each combination of k and J. Let's go through the process:
Start with the given form: Lkj = Lm1_phase ? K.
For k ? a and J ? A: We need to determine the function K_aA(?m) that relates L_aA to ?m. This function might involve mathematical operations, such as trigonometric functions, polynomial functions, or any other relevant operations that capture the relationship between L_aA and ?m.
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