gieft gright Emiddle An E-core with three air-gaps is give in the figure with dimensions of left mean corslength 10 cm, right mean core length 10 cm, middle leg mean core length of 4 cm and core cross section of 1 cm2 and uniform through the geometry except 2cm2 at middle leg. 2. Now assume the core is made out of a high-quality material “B" with a relative permeability of 15000. Solve the parts below. Comment on your findings. What is the reason of change, or lack thereof? How does adding an air-gap to a ferrous core affect the inductance? a) Calculate the coil inductance when there are no air-gaps. Left air gap is equal to the right air gap and when g left-g right=x cm, g middle= x+ 0.1 cm. While left and right air gaps are simultaneously changed between 0 em

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Chapter1: Units, Trigonometry. And Vectors
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gieft
gright
Emiddle
An E-core with three air-gaps is give in the figure with dimensions of left mean gore length 10 cm, right
mean core length 10 cm, middle leg mean core length of 4 cm and core cross section of 1 cm2 and
uniform through the geometry except 2cm2 at middle leg.
2. Now assume the core is made out of a high-quality material “B" with a relative
permeability of 15000. Solve the parts below. Comment on your findings. What is the
reason of change, or lack thereof? How does adding an air-gap to a ferrous core affect the
inductance?
a) Calculate the coil inductance when there are no air-gaps.
Left air gap is equal to the right air gap and when g left=g right=x cm, g middle= x + 0.1 cm. While left
and right air gaps are simultaneously changed between 0 cm <x<0.1 em (use at least 100 data points):
b) Calculate and plot inductance (L) of the coil with respect to middle gap length. What is the reason
behind this change? Give your comments.
c) Calculate and plot the middle and left air gap flux density with respect to respective air gap lengths.
Comment on your graphs.
Transcribed Image Text:gieft gright Emiddle An E-core with three air-gaps is give in the figure with dimensions of left mean gore length 10 cm, right mean core length 10 cm, middle leg mean core length of 4 cm and core cross section of 1 cm2 and uniform through the geometry except 2cm2 at middle leg. 2. Now assume the core is made out of a high-quality material “B" with a relative permeability of 15000. Solve the parts below. Comment on your findings. What is the reason of change, or lack thereof? How does adding an air-gap to a ferrous core affect the inductance? a) Calculate the coil inductance when there are no air-gaps. Left air gap is equal to the right air gap and when g left=g right=x cm, g middle= x + 0.1 cm. While left and right air gaps are simultaneously changed between 0 cm <x<0.1 em (use at least 100 data points): b) Calculate and plot inductance (L) of the coil with respect to middle gap length. What is the reason behind this change? Give your comments. c) Calculate and plot the middle and left air gap flux density with respect to respective air gap lengths. Comment on your graphs.
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