An ADS works by directing an electromagnetic frequency of 95 GHz (G=10^9) toward

Question

An ADS works by directing an electromagnetic frequency of 95 GHz (G=10^9) toward a crowd. The waves excite water molecules on skin to around 130 Fahrenheit (55 celsius) causing an intensely painful sensation.

a) Draw and explain how you will build such a weapon using an inductor and capacitor.

b) Calculate the actual values for the L and C that will give you a freq. of 95 GHz.

c) Calculate the Uncertainities in the frequency by assuming the inductor is only accurate to 5% and that the capacitor is only accurate to 8%.

I need help with A and C! Is calculating an uncertainity

Explanation / Answer

It is unclear what is G=10^9.

a) Basically, one should build an oscillating RLC circuit

b) omega = 1 / sqrt(LC) => 2pi f = 1 / sqrt(LC) => f = 1 / 2pi sqrt(LC) => LC = (1/2pi f)^2 = 2.8 10^-24 H F

c) Consider f as a function of L and C, and take the total differential with respect to L and C as independent variables.

df = (df/dL) dL + (df/dC) dC

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