What is the work required to move an electron in an electric field?

In summary, to move an electron from (0,5m,0) to (0,0,8m) in an electric field of E = {25, -30, 0} x 10^3 V/m, the work required can be calculated using the equation W = Q* Change in V, where Change in V is equal to -E* change in r. By substituting the values for Change in V and the electric field, the work is calculated to be 150 x 10^3. To find the charge Q, which is needed to calculate the work, the charge of an electron (1.6x10^-19 c) can be used.
  • #1
huntingrdr
24
0

Homework Statement



What work is needed to move an electron from (0,5m,0) to (0,0,8m) in an electric field of E = {25, -30, 0} x 10^3 V/m?

Homework Equations



W = Change in U = Q* Change in V

The Attempt at a Solution



I calculated Change in V = -E* change in r. Change in r I got (0,-5, 8). Then I took that and multiplied it by the Electric Field and got 0-(30)(-5)-0 = 150 x 10^3.

Now, how can I find charge Q? If I knew how to find charge Q I could multiply it to Change in V that I just calculated above and it would give me W.
 
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  • #2
you have an electron .. so your chage Q should be the charge of electron which is 1.6x10^-19 c ..
 
  • #3
thebigstar25 said:
you have an electron .. so your chage Q should be the charge of electron which is 1.6x10^-19 c ..

Ahh thanks...read the question too fast. Should have slowed down and payed attention.
 

FAQ: What is the work required to move an electron in an electric field?

What is an electric field?

An electric field is a region in space where an electrically charged particle experiences a force. This force is exerted by other charged particles in the field.

How do electric fields affect charged particles?

Electric fields exert a force on charged particles, causing them to either attract or repel from each other. The strength and direction of the force depends on the magnitude and direction of the electric field.

How is the strength of an electric field measured?

The strength of an electric field is measured using a unit called volts per meter (V/m). This measures the amount of electric force exerted on a charged particle per unit of distance.

What is the relationship between electric fields and electric potential?

Electric fields and electric potential are closely related. Electric potential is a measure of the energy that a charged particle has due to its position in an electric field. The direction of electric force is always in the direction of decreasing electric potential.

How are electric fields used in everyday life?

Electric fields have many practical applications in our everyday lives. They are used in electronic devices such as cell phones and computers, in power plants to generate electricity, and in medical equipment such as MRI machines. Electric fields are also used in industries like telecommunications and transportation.

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