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
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