A uniform electric field has a magnitude 2.40 kV/m and points in the +x direction. (a) What is the electric potential difference between x = 0.00 m plane and the x = 3.70 m plane? V(3.70 m) = kV (b) A point particle that has a charge of +2.60 µC is released from rest at the origin. What is the change in the electric potential energy of the particle as it travels from the x = 0.00 m plane to the x = 3.70 m plane? Δυ- m) (c) What is the kinetic energy of the particle when it arrives at the x = 3.70 m plane? K3.70 m = m) (d) Find the expression for the electric potential V(x) if its value is chosen to be zero at x = 0. (Use the following as necessary: x.) V(x) = kV

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A uniform electric field has a magnitude of 2.40 kV/m and points in the +x direction.

(a) What is the electric potential difference between x = 0.00 m plane and the x = 3.70 m plane?
\[ V(3.70 \, \text{m}) = \text{\_\_\_\_\_\_\_\_\_\_} \, \text{kV} \]

(b) A point particle that has a charge of +2.60 μC is released from rest at the origin. What is the change in the electric potential energy of the particle as it travels from the x = 0.00 m plane to the x = 3.70 m plane?
\[ \Delta U = \text{\_\_\_\_\_\_\_\_\_\_} \, \text{mJ} \]

(c) What is the kinetic energy of the particle when it arrives at the x = 3.70 m plane?
\[ K_{3.70 \, \text{m}} = \text{\_\_\_\_\_\_\_\_\_\_} \, \text{mJ} \]

(d) Find the expression for the electric potential \( V(x) \) if its value is chosen to be zero at x = 0. (Use the following as necessary: x.)
\[ V(x) = \text{\_\_\_\_\_\_\_\_\_\_} \, \text{kV} \]
Transcribed Image Text:A uniform electric field has a magnitude of 2.40 kV/m and points in the +x direction. (a) What is the electric potential difference between x = 0.00 m plane and the x = 3.70 m plane? \[ V(3.70 \, \text{m}) = \text{\_\_\_\_\_\_\_\_\_\_} \, \text{kV} \] (b) A point particle that has a charge of +2.60 μC is released from rest at the origin. What is the change in the electric potential energy of the particle as it travels from the x = 0.00 m plane to the x = 3.70 m plane? \[ \Delta U = \text{\_\_\_\_\_\_\_\_\_\_} \, \text{mJ} \] (c) What is the kinetic energy of the particle when it arrives at the x = 3.70 m plane? \[ K_{3.70 \, \text{m}} = \text{\_\_\_\_\_\_\_\_\_\_} \, \text{mJ} \] (d) Find the expression for the electric potential \( V(x) \) if its value is chosen to be zero at x = 0. (Use the following as necessary: x.) \[ V(x) = \text{\_\_\_\_\_\_\_\_\_\_} \, \text{kV} \]
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