A boost converter is wired to a remote load. The converter has $12$ V input and $24$ V output. The load draws $5$

A$.$ For reasons of space, the converter$$s capacitor is located at the load instead of adjacent to the output switch.

The switching devices are rated for $36$ V and $10$ A$.$

$($a$)10$ pts$.$ Estimate the highest wire inductance allowed in the connection to the load without causing excessive

voltages on the switches. Use a switching time of $70$ ns$.$

$($b$)10$ pts$.$ What length of wire does this represent?