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A student asked, 鈥淪ince electrical potential is always proportional to potential energy, why bother with the concept of potential at all?鈥 How would you respond?

Short Answer

Expert verified

The electric field is a conservative field and depending on the electrical potential- As We know to calculate the electric potential needs at least two charges one of them is a test charge. If We put a test charge in a medium of many charges, then the electric field generates around the test charge due to the surrounding charges.

Step by step solution

01

About electric potential 

The electric potential difference between points A and B, VB鈭扸A is defined to be the change in potential energy of a charge q moved from A to B, divided by the charge.Units of potential difference are joules per coulomb, given the name volt (V) after Alessandro Volta.

02

Determine the potential

Solution:

As we know the electric field is a conservative field- Also, We know that the electric field is given by the following relation:

As we know in mechanics in general, We have two important concepts energy and potentiaL As We mention the electric field is a conservative field and depending on the electrical potentiaL As We know to calculate the electric potential needs at least two charges one of them is a test charge- If we put a test charge in a medium of many charges, then the electric filed generates around the test charge due to the surrounding charges- In general, We have electric potential and mechanical potential-

Therefore

The electric field is a conservative field and depending on the electrical potential- As We know to calculate the electric potential needs at least two charges one of them is a test charge. If We put a test charge in a medium of many charges, then the electric field generates around the test charge due to the surrounding charges.

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Most popular questions from this chapter

A heart defibrillator is used to enable the heart to start beating if it has stopped. This is done by passing a large current of12Athrough the body at25Vfor a very short time, usually3.0msabout . (a) What power does the defibrillator deliver to the body, and (b) how much energy is transferred ?

BIO The average bulk resistivity of the human body (apart from surface resistance of the skin) is about 5.0m. The conducting path between the hands can be represented approximately as a cylinder 1.6 m long and 0.10 m in diameter. The skin resistance can be made negligible bysoaking the hands in salt water. (a) What is the resistance between the hands if the skin resistance is negligible? (b) What potential difference between thehands is needed for a lethal shock current of 100 mA ? (Note that your result shows that small potential differences produce dangerous currents when the skin is damp.) (c) With the current in part (b),what power is dissipated in the body?

In the circuit shown in Fig. E26.20, the rate at which R1 is dissipating electrical energy is 15.0 W. (a) Find R1 and R2. (b) What is the emf of the battery? (c) Find the current through both R2 and the 10.0 惟 resistor. (d) Calculate the total electrical power consumption in all the resistors and the electrical power delivered by the battery. Show that your results are consistent with conservation of energy.

The energy that can be extracted from a storage battery is always less than the energy that goes into it while it is being charged. Why?

(See Discussion Question Q25.14.) Will a light bulb glow more brightly when it is connected to a battery as shown in Fig. Q25.16a, in which an ideal ammeter is placed in the circuit, or when it is connected as shown in Fig. 25.16b, in which an ideal voltmeter V is placed in the circuit? Explain your reasoning.

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