Problem $1$: You are tasked with machining a complex titanium alloy part using Wire EDM.

The EDM machine has a maximum allowable discharge time of td $=1$ s$,$ and the part re$-$

quires frequent sparking to avoid thermal damage.

$$ Supply voltage: Vo $=120$ V

$$ Resistance: R $=4$

$$ Capacitance: C $=200$ F $=200106$ F

$$ Desired Breakdown Voltage: Vs $=80$ V

Questions:

$1.$ Calculate the charging time required to reach the breakdown voltage.

$2.$ Calculate the sparking frequency if td is $10\%$ of tc $($charging time$).$

$3.$ If you can only change the capacitance to reduce the sparking frequency without chang$-$

ing Vs$,$ what new capacitance C$$ would you need to achieve a frequency of $5$ Hz$?$