a. Graph the electric potential inside this accelerator for x ∈ (0,11) m. b. For what value of x is the potential inside the accelerator maximum? c. Determine an expression for the electric field inside the accelerator.
a. Graph the electric potential inside this accelerator for x ∈ (0,11) m.
b. For what value of x is the potential inside the accelerator maximum?
c. Determine an expression for the electric field inside the accelerator.
d. Which of the two end plates, left or right hand side, is positively charged? Justify your answer.
e. A proton is placed at x = 4 m. What is its acceleration at this point?
f. The proton is released, with zero initial velocity from x = 4 m. What is its speed when (and if) it collides with one of the end plates of the accelerator?
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Relation between Electric Potential and Electric Field:
The negative derivative of the electric potential with respect to the position at a particular point gives the electric field at that point. Mathematically,
where is the electric field, is the electric potential and represents its derivative with respect to its position .
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