A student working with a transmitting apparatus like Heinrich Hertz\' wishes to

Question

A student working with a transmitting apparatus like Heinrich Hertz' wishes to adjust the electrodes to generate electromagnetic waves with a frequency half as large as before. How large should she make the effective capacitance of the pair of electrodes?

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A student working with a transmitting apparatus like Heinrich Hertz' wishes to adjust the electrodes to generate electromagnetic waves with a frequency half as large as before. How large should she make the effective capacitance of the pair of electrodes?

Explanation / Answer

frequency f and capacitrance C are related by the relation w = 2pif = 1/sqrt (LC)

i.e f^2 is directly prop to 1/C

so if f2=f1/2

f2/f1 = sqrt(C1/C2)

SQRT(C1/C2) = 0.5

C1/C2 = 0.25

c2 = C1/0.25 = 1/0.25

c2 = 4 c1

afour times larger than before

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