Calculating Acceleration Change: Oil Drop in Electric Field | F=ma and F_e=qE

The charge of the oil droplet in this scenario would be -1.60x10^-19 C, since it has lost one electron.In summary, to find the change in acceleration for an oil drop with a mass of 1.00x10^-14 kg losing an electron in an electric field of 1.00x10^6 N/C, you would use the formula (qE/m) final - (qE/m) initial, where q represents the charge of the oil droplet, which in this case would be -1.60x10^-19 C. The electric field applied would stay the same and the initial charge of the oil droplet would be considered neutral.
  • #1
jaejoon89
195
0
If an oil drop with mass 1.00x10^-14 kg loses an electron whilst in an electric field of 1.00x10^6 N/C, what is the change in acceleration?

***

F=ma
F_e = qE

So I know delta a for change in acceleration will be (qE/m) final - (qE/m) initial... but what do I use for q (I can't use 1.60*10^-19 C, right, because that's just for one electron and not the whole oil droplet?). Also, will the electric field stay the same?
 
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  • #2
Would the oil droplet initially be considered neutral, so that the initial component (with Q=0) cancels out?
 
  • #3
It looks like you have to assume that the initial charge Q0 = 0 since you're not given any other info.

The electric field applied should stay the same; the loss of an electron does not affect the applied field strength.
 

1. What is an electric field?

An electric field is a physical quantity that describes the influence that an electric charge has on other charges in its vicinity. It is represented by a vector and is measured in units of Newtons per Coulomb (N/C).

2. How is an electric field calculated?

The electric field at a particular point is calculated by dividing the force exerted on a test charge by the magnitude of the test charge. Mathematically, it is represented as E = F/Q, where E is the electric field, F is the force, and Q is the test charge.

3. What is the direction of an electric field?

The direction of an electric field is the direction that a positive test charge would move if placed in the field. It is always perpendicular to the equipotential lines and points towards negative charges or away from positive charges.

4. What factors affect the strength of an electric field?

The strength of an electric field is affected by the magnitude of the source charge and the distance from the source charge. As the source charge increases or the distance decreases, the electric field becomes stronger.

5. How is an electric field represented graphically?

An electric field is represented graphically using field lines, also known as lines of force. These lines show the direction and strength of the electric field at different points in space. The closer the lines are together, the stronger the electric field is at that point.

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