# Finding the potential difference?

• tyhwang1987
In summary, potential difference, also known as voltage, is the difference in electrical potential energy between two points in an electrical circuit and is measured in volts (V). It is measured using a voltmeter and has a direct relationship with current. Potential difference causes the flow of electrons in a circuit and is affected by the type and number of components, circuit resistance, and power source voltage. Changes in these factors can affect the potential difference and the flow of current in the circuit.
tyhwang1987
Hi anyone can solve this problem?

A volume charge density of pv= 1/r^2 uC/m^3 exists in the region bounded by
1.0m < r < 1.5m. Find the potential difference between the point A(3.0, 4.0, 12.0) and
the point B (2.0, 2.0, 2.0).

Anyone can show me the solution for this problem?

And this should probably go in the homework section.

Sure, I'd be happy to help you solve this problem! To find the potential difference between points A and B, we first need to calculate the electric potential at each point. This can be done using the equation V = k*q/r, where V is the electric potential, k is the Coulomb's constant (9x10^9 Nm^2/C^2), q is the charge, and r is the distance between the point and the charge.

For point A, we can calculate the potential using the given volume charge density and the distance from the origin (r = √(3^2 + 4^2 + 12^2) = 13). Therefore, V(A) = (1/4πε0) * (1/r^2) * (4/3)π(1.5^3 - 1^3) = 0.0073 V.

Similarly, for point B, we can calculate the potential using the given volume charge density and the distance from the origin (r = √(2^2 + 2^2 + 2^2) = 3√3). Therefore, V(B) = (1/4πε0) * (1/r^2) * (4/3)π(1.5^3 - 1^3) = 0.0219 V.

Now, to find the potential difference between these two points, we simply subtract V(A) from V(B). Therefore, the potential difference between points A and B is V(B) - V(A) = 0.0219 V - 0.0073 V = 0.0146 V.

I hope this helps! Let me know if you have any other questions.

## 1. What is potential difference?

Potential difference, also known as voltage, is the difference in electrical potential energy between two points in an electrical circuit. It is measured in volts (V) and is a key concept in understanding electricity.

## 2. How is potential difference measured?

Potential difference is measured using a voltmeter, which is a device that is connected in parallel to the circuit and measures the difference in electrical potential energy between two points.

## 3. What is the relationship between potential difference and current?

Potential difference and current have a direct relationship, meaning that an increase in potential difference will result in an increase in current, and vice versa. This relationship is described by Ohm's Law, which states that the current (I) flowing through a conductor is directly proportional to the potential difference (V) across it, and inversely proportional to its resistance (R).

## 4. How does the potential difference affect the flow of electrons in a circuit?

Potential difference is what causes the flow of electrons, also known as electric current, in a circuit. When there is a difference in potential between two points, electrons will flow from the point of higher potential to the point of lower potential, creating a flow of electrical energy.

## 5. What factors affect the potential difference in a circuit?

The potential difference in a circuit is affected by various factors, including the type and number of components in the circuit, the resistance of the circuit, and the voltage of the power source. Changes in any of these factors can affect the potential difference and therefore the flow of current in the circuit.

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