Does Frequency Affect Amplitude?

Electricity and Magnetism Level 3

A small particle having charge q q is at rest between the two plates. When an alternating voltage source V = V 0 sin ⁡ ( ω t ) V = V_0 \sin ( \omega t ) is connected across the plates, it is observed that the particle oscillates with amplitude A A .

If the frequency of the voltage source is doubled, V ′ = V 0 sin ⁡ ( 2 ω t ) V' = V_0 \sin (2 \omega t) , then what would be the new amplitude of the particle?

Note: Ignore gravity.

1 2 A \dfrac{1}{2} A A A 4 A 4A 1 4 A \dfrac{1}{4} A 2 A 2 A

Pranshu Gaba by Pranshu Gaba , 22, India

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1 solution

Steven Chase
Sep 13, 2016

4 Helpful 1 Interesting 1 Brilliant 0 Confused

@Steven Chase In this problem , energy of particle will increase or decrease ? bcoz we say more amplitude ,more energy .So acc. to that here energy of particle should decrease bcoz amplitude has decreased.. But we also know that E= h* (frequency) so according to this relation , energy should increase . What is the correct answer ?

Saraswati Sharma - 4 years, 7 months ago

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I'm not inclined to bring quantum mechanics into it. Let's keep it classical. I just posted a problem on this in the Emag section. Give it a try.

Steven Chase - 4 years, 7 months ago

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