I am having trouble understanding how these mesh equations are made, Please use
ID: 2990531 • Letter: I
Question
I am having trouble understanding how these mesh equations are made, Please use the notation as described when writing the meshes and add any details on why terms are needed.
The Circuit shown contains a pair of coupled inductors. Write the mesh (KVL) equation for mesh 1. Write the mesh (KVL) equation for mesh 1. Express your answer in terms of v1, i1, i2, L1, L2, M, R1, and R2. Enter the time derivative of (i1 - i2) as (d/dt) (i1 - i2). Suppress t everywhere in your answer except in the denominators of time derivatives, i.e., except when you write terms like L1 (d/dt) i1. Write the mesh (KVL) equation for mesh 2. Express your answer in terms of v1, i1, i2, L1, L2, M, R1, and R2. Enter the time derivative of (i2 - i1) as (d/dt)(i2 - i1). Suppress t everywhere in your answer except in the denominators of time derivatives, i.e., except when you write terms like L2 (d/dt)i2.Explanation / Answer
kvl of first mesh
V1=i1 R1+L1(d/dt)i1+L2(d/dt)(i1-i2)-m(d/dt) (i1-i2)-m(d/dt)i1
kvl of second mesh
i2R2+ L2(d/dt)(i2-i1)-m (d/dt)i1-m(d/dt)(i12-i1)=0
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