a) A magnetic circuit consists of a toroidal silicon sheet steel with relative permeability 4, of 150, and a small air gap. A current I flows through 200 turns of wire wrapped around the toroid. The magnetic flux of the circuit is 5x 10-9 Wb. The total length of the circuit is 0.8 m, and the cross-sectional area of the toroid is10-*m². The length of the air gap is 0.07 m. Find i. The total reluctance and inductance of the circuit ii. Magnetomotive force and hence the current. Ho = 4n x 10-7 H/m b) Differentiate between faraday law of electromagnetic induction and Lenz law and discuss their practical importance c) Using stokes theorem, prove that the divergence of curl of a vector is zero

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QUESTION 5
a) A magnetic circuit consists of a toroidal silicon sheet steel with relative
permeability 4, of 150, and a small air gap. A current I flows through 200 turns
of wire wrapped around the toroid. The magnetic flux of the circuit is
5 x 10-9 Wb. The total length of the circuit is 0.8 m, and the cross-sectional
area of the toroid is10-*m². The length of the air gap is 0.07 m.
Find
i. The total reluctance and inductance of the circuit
ii. Magnetomotive force and hence the current.
Ho = 4n x 10-7 H/m
b) Differentiate between faraday law of electromagnetic induction and Lenz
law and discuss their practical importance
c) Using stokes theorem, prove that the divergence of curl of a vector is zero
Transcribed Image Text:QUESTION 5 a) A magnetic circuit consists of a toroidal silicon sheet steel with relative permeability 4, of 150, and a small air gap. A current I flows through 200 turns of wire wrapped around the toroid. The magnetic flux of the circuit is 5 x 10-9 Wb. The total length of the circuit is 0.8 m, and the cross-sectional area of the toroid is10-*m². The length of the air gap is 0.07 m. Find i. The total reluctance and inductance of the circuit ii. Magnetomotive force and hence the current. Ho = 4n x 10-7 H/m b) Differentiate between faraday law of electromagnetic induction and Lenz law and discuss their practical importance c) Using stokes theorem, prove that the divergence of curl of a vector is zero
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