Project $-7$:

A core with three legs is shown in Figure P$-7.$ Its depth is $10$ cm and there are $1550$ turns on the leftmost leg and supplied with $5$ A current. The relative permeability of the core can be assumed to be $3540$ and constant. Assume a $\backslash (5\backslash \%\backslash )$ increase in effective area of air due to fringing effect.

a$.$ Find the total reluctance $\backslash (\backslash$Re $\backslash )$ of the core.

b$.$ What is the flux in the left leg of the core, centre of the core and right leg of the core?

c$.$ Develop a Simulink model to investigate the number of coils turned in the magnetic core.

$-$ Simulate the effect of varying the number of turns in the coil on the flux in the core. Keep the current constant and increase the number of turns from $1550$ to $2000.$

$-$ Plot how the flux changes in each section of the core as the number of coils turns increases.