Electric potential along the x-axis

In summary, the electric potential along the x-axis is given by V=100e^(-2x/m), where x is in meters. To find the electric field Ex at specific points, we can use the equation Ex = dV/dx, where m represents the units of meters. Taking the derivative of V, we get (-200/m)e^(-2x/m). By assuming m=1, we can find the correct values for Ex at x=1.0m and x=2.1m. However, the meaning or significance of m is not clear.
  • #1
chicagobears34
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0

Homework Statement


The electric potential along the x-axis is V=100e^(−2x/m), where x is in meters.
Find Ex at x=1.0m and Ex at x=2.1m

Homework Equations


V=Ed
Ex = dV/dx (?)

The Attempt at a Solution


I took the derivative of V and got (-200/m)e^(-2x/m)
I don't know what m is and I'm just not sure how I can get an integer value for Ex at x=1.0m and 2.1m
EDIT===
I assumed m=1 and got the correct answer, don't understand what m is though
 
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  • #2
m might just represent units of meter. So the 2 in the exponential has units of 1/m and they decided to show that explicitly.
 

FAQ: Electric potential along the x-axis

What is electric potential?

Electric potential is a measure of the potential energy per unit charge at a specific point in an electric field. It is measured in volts (V).

How is electric potential along the x-axis calculated?

Electric potential along the x-axis is calculated using the equation V(x) = kQ/x, where k is the Coulomb's constant, Q is the charge, and x is the distance from the point charge.

What is the relationship between electric potential and electric field?

Electric potential and electric field are related by the equation E = -∆V/∆x, where E is the electric field, V is the electric potential, and x is the distance between two points. In other words, the electric field is the negative gradient of the electric potential.

How does electric potential change along the x-axis?

Electric potential decreases as the distance from the point charge increases. This means that the further away from the point charge, the lower the electric potential will be.

What are the units of electric potential?

Electric potential is measured in volts (V), which is equivalent to joules per coulomb (J/C).

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