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Lecture 3 Magnetic Circuits

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D4.2 A magnetic core is built in the form of a circular ring having a mean radius of 10<br />

cm. A coil containing 150 turns is wound uniformly throughout the length of the core.<br />

The coil is connected to a voltage source, and it draws a current of 15A.<br />

a. Determine the of the coil<br />

b. Calculate the magnetic field intensity in the core<br />

Solution:<br />

Given, N=150 turns; I =15A; r = 10cm = 0.1m<br />

a. <br />

b. l c = 2r = 20.1=0.628 m<br />

c.<br />

D4.3 The circular ring of has a mean cross-sectional area of<br />

25cm 2 . The relative permeability of the material of the ring is 1500. Calculate<br />

a. The magnetic flux in the core<br />

b. The magnetic flux density in the core<br />

c. The flux linkage of the coil<br />

d. The reluctance of the core<br />

Solution:<br />

Here, A c = 25cm 2 =2510 -4 m 2 ; µ r =1500<br />

a. B=µH =µ 0 µ r H =410 -7 15003581=6.75 T<br />

b. =BA=6.752510 -4 wb=16.875 mwb<br />

c. =N=150 =2.53 wb-t<br />

d.<br />

Dr. Ahsan Page 8

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