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A stepper motor is driven by a $5$ vdc digital pulse signal at a minimum frequency of $2,000Hz.$ A first order $(1)RC$ filter is used to reduce the effect of $60$ Hz EMI noise on the pulse signal:

$f_c=200Hz$

$f_{\text{e}\text{m}\text{i}}=60Hz$

$f_{\text{s}\text{t}\text{e}\text{p}\text{p}\text{e}\text{r}}=2000Hz$ and higher

$(2$ pts$)$: Which type of $1$ filter is needed for this application?

$1$ RC Filter Type $=$

$($Hi or Lo$?)$

$(6$ pts $)$: Calculate $($to $4$ significant figures$)$ Gain, $M_{\text{e}\text{m}\text{i}\text{,}}$ produced by the filter on the EMI noise. $($Partial Credit for finding approximate $M_{\text{e}\text{m}\text{i}}$ from appropriate Filter Response Plot above$)$

$M_{\text{e}\text{m}\text{i}}=$

$(5$ pts$)$: Calculate $($to $4$ sig$-$figures$)$ the resistor, R $,$ needed. Given a capacitor, $C=4\mathrm{.}7$ nano$-$F$.$

$R=$

$(2$ pts$)$: Is the value of $R$ above suitable for the filter circuit?

Goodness of $R=$

$($Yes or No$?)$

$(5$ pts$)$: An amplifier is added with a linear Gain of $M_R=65,$ convert this Gain to DeciBels.

$P(dB)=$