At the Stanford Linear Accelerator, electrons are accelerated from an energy of 0eV to 20 x 10^9eV as they travel in a straight evacuated pipe 1600m in length. The acceleration is due to a strong electric field pushing the electrons along. Assume that the electric field is uniform.What must be its strength?

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An electron is initially at rest in a uniform electric field having a strength of 2.2 x 10^6 V/m. It is then released and accelerated by the presence of the electric field.

Part (a) What is the change in the electron's kinetic energy, in kilo electron volts, if it travels over a distance of 0.475 m in this field? Numeric: A numeric value is expected and not an expression.

Part (b) Over how many kilometers would it have to be accelerated in the same electric field to increase its kinetic energy by 45 GeV? Numeric: A numeric value is expected and not an expression.

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A charge of +2C is at the origin. When a charge Q is placed at2malong the positive axis, the electric field at 2m along thenegativex axis becomes zero. What is the valueofQ? a.-3C b.-6C c. - 7C d. -8C

8. Electrons in a particle beam each have a kinetic energyof3.2x10-17 J. What is the magnitude of the electric field thatwillstop these electrons in a distance of 0.1m?

a. 200 N/C b.1000N/C c. 2000N/C d. 4000N/C

9. A proton (+1.6x10^-19 C) moves 10cm along the direction ofanelectric field os strength 3.0 N/C. The electricalpotentialdifference between the protonâs initial and endingpointis:

a. 4.8x 10^-19 V b.0.30V c.0.033V d. 30V

10. If an electron is accelerated from rest through apotentialdifference of 1200V, find its approximate velocity at theend ofthis process. ( e= 1.6x10^-19 C, m= 9.1x10^-31kg)

a.1,0x10^7m/s b.1.4x10^7m/s c.2.1 x10^7m/s d.2.5x10^7m/s

An aluminum wire with a diameter of 0.100 mm has a uniform electric field of 0.200 V/m imposed along its entire length. The temperature of the wire is 50.0˚C. Assume one free electron per atom. (a) Use the information in Table 26.2 to determine the resistivity of aluminum at this temperature. (b) What is the current density in the wire? (c) What is the total current in the wire? (d) What is the drift speed of the conduction electrons? (e) What potential difference must exist between the end of a 2.00-m length of the wire to produce a stated electric field?

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