Unformatted text preview: N 2 turns carries current I 2 between the points A(10,0,4), B(4,0,4), C(10,0,12) and back to A. Determine the expression for “ M ” the mutual inductance between the two circuits. 4. Faraday’s Law Problem: A circular conducting loop of radius “ a ” [m] exists on the z = 0 plane centred on the origin. The loop is immersed in a magnetic ﬁeld-→ B = B o t~a z [T]. Two points on the loop α ( a, + , 0) cyl and β ( a, 2 π, 0) cyl form an inﬁnitesimal gap in the loop. (a) Calculate V emf = V βα =-dψ dt the voltage induced in the loop. (b) Use-→ ∇ ×-→ E =-∂-→ B ∂t and reverse-curl via integration to solve for-→ E = E ( ρ ) ~a φ [V/m]. (c) Solve for V emf = H l-→ E · d ~ l along the loop. (d) Which terminal α or β is positive?...
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- Spring '08
- Magnetic Field, internal inductance Lint, Magnetic Boundary Conditions, Mutual Inductance Problem