Electric Potential and Second Charge

In summary, the problem involves calculating the value of a point charge located at a distance of 10.9 mm from a second point charge, given that the electric potential at a position located 18.6 mm from the first charge is 1.02 kV. Using the equation q2 = r2 * (v - (k * q1 / r1)) / k and the given values, the value of the second charge is found to be -3.16 x 10^-9 C, not nC. The discrepancy may be due to rounding off error or a unit error.
  • #1
carpelumen
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Homework Statement


The electric potential at a position located a distance of 18.6 mm from a positive point charge of 7.50×10-9C and 10.9 mm from a second point charge is 1.02 kV. Calculate the value of the second charge.


Homework Equations


q2 = r2 * (v - (k * q1 / r1)) / k


The Attempt at a Solution


v = 1.02 kV = 1.02 x 10^3 V = 1020 V
q1 = 7.50 x 10^-9 C
r1 = 18.6 mm = 0.0186 m
r2 = 10.9 mm = 0.0109 m
k = 9 x 10^9 Nm^2/C^2

q2 = (.0109) * (1020 - (9E9*7.5E-9/.0186)) / 9E9
q2 = -3.15E-9 nC

I keep getting the same answer but the homework system says it's wrong!
 
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  • #2
I get -3.16 10-9 C (not nC). Rounding off error ? Or is it the nC instead of the C ?
 
  • #3
Wow. I feel like a total idiot. IT IS C instead of nC! I figured it couldn't be a unit error because the homework system usually notifies us of that.

Thanks so much!
 

FAQ: Electric Potential and Second Charge

What is electric potential?

Electric potential is a measure of the potential energy that a charged particle possesses at a given point in space. It is a scalar quantity, meaning it has magnitude but no direction.

How is electric potential related to electric field?

Electric potential is directly related to electric field. The electric field at a given point is equal to the negative of the gradient of the electric potential at that point.

What is the formula for calculating electric potential for a point charge?

The formula for calculating electric potential for a point charge is V = kQ/r, where V is the electric potential, k is the Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

How does adding a second charge affect the electric potential at a point?

Adding a second charge affects the electric potential at a point by changing the magnitude and direction of the electric field at that point. This, in turn, changes the electric potential at the point.

What is the principle of superposition when it comes to electric potential?

The principle of superposition states that the electric potential at a point due to multiple charges is equal to the sum of the individual electric potentials at that point due to each individual charge. This principle applies to both point charges and continuous charge distributions.

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