What Is The Value Of A Charge That Has An Electric Potential Of 325 V And An Electric Potential Energy Of 0.025 J?A. $7.7 \times 10^{-4} , C$B. $7.7 \times 10^{-5} , C$C. $ 13 × 10 3 C 13 \times 10^3 \, C 13 × 1 0 3 C [/tex]D. $1.3
Understanding Electric Potential and Potential Energy
Electric potential and electric potential energy are two fundamental concepts in physics that are often confused with each other. Electric potential is the potential difference in electric potential energy per unit charge between two points in an electric field. It is measured in volts (V) and represents the work required to move a unit charge from one point to another against the electric field. On the other hand, electric potential energy is the energy a charged object possesses due to its position in an electric field. It is measured in joules (J) and represents the work that can be done by the charged object.
Calculating the Value of a Charge
To calculate the value of a charge that has an electric potential of 325 V and an electric potential energy of 0.025 J, we can use the following formula:
Electric potential energy (EPE) = Electric potential (V) x Charge (Q)
Rearranging the formula to solve for charge (Q), we get:
Q = EPE / V
Substituting the Given Values
Now, let's substitute the given values into the formula:
Q = 0.025 J / 325 V
Calculating the Value of Charge
To calculate the value of charge, we need to perform the division:
Q = 0.025 J / 325 V Q = 7.6923076923 x 10^-5 C
Rounding the Answer
Rounding the answer to two significant figures, we get:
Q ≈ 7.7 x 10^-5 C
Conclusion
Therefore, the value of a charge that has an electric potential of 325 V and an electric potential energy of 0.025 J is approximately 7.7 x 10^-5 C.
Answer Options
Comparing our calculated answer with the given options, we can see that the correct answer is:
B. $7.7 \times 10^{-5} , C$
Final Thoughts
In this article, we have discussed the concepts of electric potential and electric potential energy, and how to calculate the value of a charge using the formula: Q = EPE / V. We have also seen how to substitute the given values into the formula and perform the calculation to get the final answer.
Q: What is the difference between electric potential and electric potential energy?
A: Electric potential is the potential difference in electric potential energy per unit charge between two points in an electric field. It is measured in volts (V) and represents the work required to move a unit charge from one point to another against the electric field. On the other hand, electric potential energy is the energy a charged object possesses due to its position in an electric field. It is measured in joules (J) and represents the work that can be done by the charged object.
Q: How is electric potential related to electric potential energy?
A: Electric potential is directly proportional to electric potential energy. The formula to calculate electric potential energy is:
Electric potential energy (EPE) = Electric potential (V) x Charge (Q)
Q: What is the unit of electric potential?
A: The unit of electric potential is volts (V).
Q: What is the unit of electric potential energy?
A: The unit of electric potential energy is joules (J).
Q: How is electric potential energy related to work?
A: Electric potential energy is the energy that can be used to do work. When a charged object is moved from one point to another in an electric field, the electric potential energy is converted into work.
Q: Can electric potential energy be negative?
A: Yes, electric potential energy can be negative. This occurs when the charged object is moved against the electric field, requiring work to be done on the object.
Q: Can electric potential be negative?
A: No, electric potential cannot be negative. Electric potential is a measure of the potential difference in electric potential energy per unit charge, and it is always positive.
Q: How is electric potential related to the electric field?
A: Electric potential is related to the electric field by the following formula:
Electric potential (V) = Electric field (E) x Distance (d)
Q: What is the relationship between electric potential and the charge of an object?
A: The electric potential of an object is independent of its charge. The electric potential of an object depends only on its position in the electric field.
Q: Can electric potential energy be converted into other forms of energy?
A: Yes, electric potential energy can be converted into other forms of energy, such as kinetic energy, thermal energy, and electromagnetic radiation.
Q: What is the significance of electric potential and potential energy in real-world applications?
A: Electric potential and potential energy play a crucial role in many real-world applications, including power generation, transmission, and distribution, as well as in the design of electronic devices and systems.
Q: How can electric potential and potential energy be measured?
A: Electric potential and potential energy can be measured using various instruments, including voltmeters, ammeters, and wattmeters.
Q: What are some common sources of electric potential and potential energy?
A: Some common sources of electric potential and potential energy include batteries, generators, and power plants.
Q: Can electric potential and potential energy be harnessed and utilized?
A: Yes, electric potential and potential energy can be harnessed and utilized to generate electricity, power devices, and perform work.
Q: What are some potential applications of electric potential and potential energy in the future?
A: Some potential applications of electric potential and potential energy in the future include the development of more efficient power generation and transmission systems, the creation of new energy storage technologies, and the design of more advanced electronic devices and systems.