# Does Frequency Affect Amplitude?

A small particle having charge $$q$$ is at rest between the two plates. When an alternating voltage source $$V = V_0 \sin ( \omega t )$$ is connected across the plates, it is observed that the particle oscillates with amplitude $$A$$.

If the frequency of the voltage source is doubled, $$V' = V_0 \sin (2 \omega t)$$, then what would be the new amplitude of the particle?

Note: Ignore gravity.

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