This one is from Griffiths. A toughie!!(adsbygoogle = window.adsbygoogle || []).push({});

A point charge q of mass m is released at a distance d from an infinite grounded conducting plane. How long will it take for the charge to hit the plane?

I chose a distance 'x' as a height above the plane. So the force on 'q' is given by:

[tex]F = {-1\over 4\pi \epsilon_0}{q^2\over 4x^2}[/tex]

And equal that to force equation:

[tex]F = m\frac{d^2 x}{d t^2}[/tex]

So,

[tex]\frac{d^2 x}{d t^2} = \frac{-q^2}{16\pi \epsilon_0 x^2 m}[/tex]

I need to solve this equation for 't'. Any clues?

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# Homework Help: Charged particle near a grounded plane

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