NCEES - Power Afternoon #516

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NVRSTOP

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NCEES - POWER AFTERNOON #516

Consider the three-legged magnetic circuit in the figure, fabricated with a homogeneous iron core and a uniform cross-sectional area. With the coil energized, the magnetic flux in Leg A is 3.0 x 10^-3 webers. Assuming linear magnetic properties, the aproximate flux (Wb) in Leg C is most nearly:

Solution:

The path length for Leg B is d, and the path length for Leg C is 3d, thus the flux will divide between Legs B & C in the ratio of 1:3. Therefore, 1/4 of the total flux will be in Leg C and 3/4 will be in Leg B.

Why is the path for Leg C = 3d? Are we counting the vertical section of Leg B and the two horizontal sections to get to Leg C?

Thanks in advance,

NVRSTOP

 
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