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Chapter 25: Q. 12 (page 709)

What is the speed of an electron that has been accelerated from rest through a potential difference of 1000V?

Short Answer

Expert verified

The electron speed is1.87脳107m/s.

Step by step solution

01

Given information and concept

Potential difference, V=1000V

Mass of electron, me=9.1脳10-31kg

Charge of electron, q=-1.6脳10-19C

Formula used:

The following is the relationship between potential energy and potential difference:

U=q螖V

Where,

Uis the potential energy

q is the charge of electron

螖V is the potential difference

02

Find the speed of electron

Calculate the electron's potential energy.

U=q螖V

Insert the value in the above equation

U=-1.6脳10-19脳(1000)=-1.6脳10-16J

All potential energy is turned into kinetic energy according to energy conservation.

KEinitial-KEfinal=U12mevinitial2-12mevfinal2=U

Insert the required value in the above equation

12脳9.1脳10-31脳0-12脳9.1脳10-31脳v2=-1.6脳10-160-12脳9.1脳10-31脳v2=-1.6脳10-16v=1.6脳10-1612脳9.1脳10-31=1.87脳107m/s

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Most popular questions from this chapter

FIGURE P25.69 shows a thin rod of length L and charge Q. Find an expression for the electric potential a distance x away from the center of the rod on the axis of the rod.

x=-1.0cmA-2.0nCcharge and a +2.0nCcharge are located on the x-axis at and x=+1.0cm, respectively.

a. Other than at infinity, is there a position or positions on the x-axis where the electric field is zero? If so, where?

b. Other than at infinity, at what position or positions on the x-axis is the electric potential zero?

c. Sketch graphs of the electric field strength and the electric potential along the x-axis.

A 3.0-cm-diameter parallel-plate capacitor has a 2.0 mm

1.0脳105V/mspacing. The electric field strength inside the capacitor is.

a. What is the potential difference across the capacitor?

b. How much charge is on each plate?

Show that 1 V/m = 1 N/C.

What potential difference is needed to accelerate a He+ion (charge +e,mass4u) from rest to a speed of2.0脳106m/s?
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