A finite region of horizontal, uniform electric field points to the right with magnitude E. The region is square-shaped with side length L = 35 cm. Outside this region the electric field is zero. A proton traveling upward with speed v₁ = 55 km/s enters vy the field region at the midpoint of the bottom side, passes through the field region, and then finally exits the field region exactly at one of the corners of the top side. What is the magnitude E of the electric field? (Assume that gravity can be neglected in this problem.) For the limit check, investigate what happens to Ę if the proton's initial speed is extremely large (i.e., vy → ∞). Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As vy∞, what limit does E approach? b) Why does the result make physical sense?

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A finite region of horizontal, uniform electric field points to the
right with magnitude E. The region is square-shaped with side
length L = 35 cm. Outside this region the electric field is zero.
A proton traveling upward with speed v₁ = 55 km/s enters
vy
the field region at the midpoint of the bottom side, passes
through the field region, and then finally exits the field region
exactly at one of the corners of the top side. What is the
magnitude E of the electric field? (Assume that gravity can
be neglected in this problem.) For the limit check, investigate
what happens to Ę if the proton's initial speed is extremely
large (i.e., vy → ∞).
Initial Equations
Algebra Work (Symbols only. Don't plug in any numbers yet.)
Symbolic Answer:
Unit Check
Limit Check
a) As vy∞, what limit does E approach?
b) Why does the result make physical sense?
Transcribed Image Text:A finite region of horizontal, uniform electric field points to the right with magnitude E. The region is square-shaped with side length L = 35 cm. Outside this region the electric field is zero. A proton traveling upward with speed v₁ = 55 km/s enters vy the field region at the midpoint of the bottom side, passes through the field region, and then finally exits the field region exactly at one of the corners of the top side. What is the magnitude E of the electric field? (Assume that gravity can be neglected in this problem.) For the limit check, investigate what happens to Ę if the proton's initial speed is extremely large (i.e., vy → ∞). Initial Equations Algebra Work (Symbols only. Don't plug in any numbers yet.) Symbolic Answer: Unit Check Limit Check a) As vy∞, what limit does E approach? b) Why does the result make physical sense?
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