Charge, Potential, Work, and Electricity

In summary, the problem involves finding the value of the charge given the potential difference and work done to move the charge. After some incorrect calculations, it is determined that the correct answer is -3.2 micro-Coulombs, taking into account the direction of the electric field.
  • #1
Phoenixtears
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Homework Statement



Moving a charge from point A, where the potential is 275 V, to point B, where the potential is 150 V, takes 4.0 10-4 J of work. What is the value of the charge?


Homework Equations



V= w/q

V= change in voltage
w= work
q= charge

The Attempt at a Solution



This problem seems simple enough, but for some reason I can't get the right answer. W= 4E-4 and then I divided it by the change in V (275- 150).

4E-4/ 115= 3.478E-6

Then I mulitplied by 1E6 to change the units into micro-Coulombs.

Yet this answer is wrong. What am I doing incorrectly??

Thanks in advance for the help!

~Phoenix
 
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  • #2
first 150-275 = 125 not 115

i thin you may have to be careful with signs here as well

hint dV = V2-V1, if it takes work to move a charge to a smaller potential can we say something about the charge?

Think which way the electric field is pointing and how a positive charge would want to move between the points
 
  • #3
Oh... I see what you're saying. (Sorry about the 115 thing, that was just my typing... the actual calculation was correct).

So instead it would be 4E-4/(150-275)= -3.2 Micro-C. Thanks so much! That makes perfect sense.
 

FAQ: Charge, Potential, Work, and Electricity

What is charge?

Charge is a fundamental physical property of matter that causes it to experience a force in an electric field. It can be positive or negative, and is measured in coulombs (C).

What is potential?

Potential, also known as voltage, is a measure of the electric potential energy per unit charge at a specific point in an electric field. It is measured in volts (V).

What is work in relation to electricity?

In the context of electricity, work refers to the transfer of energy from an electric field to an object or vice versa. It is calculated by multiplying the force applied by the distance over which it is applied.

How is electricity generated?

Electricity is typically generated through the conversion of energy from a primary source, such as coal, natural gas, or nuclear power, into electrical energy. This energy is then transmitted through power lines to homes and businesses for use.

What is the difference between AC and DC electricity?

AC (alternating current) electricity is the type of electricity that is commonly used in homes and businesses. It flows in both directions and changes its direction periodically. DC (direct current) electricity, on the other hand, only flows in one direction and is commonly used in batteries and electronic devices.

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