- #1
Reshma
- 749
- 6
This one is from Griffiths. A toughie!
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?
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?