What will be the potential difference between the plates

Important Solutions Question Bank Solutions Time Tables. Advertisement Remove all ads. Short Note. Solution Show Solution It is given that the plates of the capacitor have the same charges. Now, as point P lies inside the conductor, the total field must be zero. Report Error Is there an error in this question or solution? Chapter 9: Capacitors - Short Answers [Page ]. Share 0. Select a course. My Profile. My Profile [view full profile].

In more general situations, regardless of whether the electric field is uniform, it points in the direction of decreasing potential, because the force on a positive charge is in the direction of E and also in the direction of lower potential V.

Furthermore, the magnitude of E equals the rate of decrease of V with distance. The faster V decreases over distance, the greater the electric field. In equation form, the general relationship between voltage and electric field is. The minus sign tells us that E points in the direction of decreasing potential.

The electric field is said to be the gradient as in grade or slope of the electric potential. The electric field strength between the plates is 2. Skip to main content. Electric Potential and Electric Field. Search for:. Electric Potential in a Uniform Electric Field Learning Objectives By the end of this section, you will be able to: Describe the relationship between voltage and electric field.

Derive an expression for the electric potential and electric field. Calculate electric field strength given distance and voltage. Example 1. Strategy We are given the maximum electric field E between the plates and the distance d between them. The answer is quoted to only two digits, since the maximum field strength is approximate. Discussion One of the implications of this result is that it takes about 75 kV to make a spark jump across a 2.

Example 2. Field and Force inside an Electron Gun An electron gun has parallel plates separated by 4. What is the electric field strength between the plates?

What force would this field exert on a piece of plastic with a 0. Conceptual Questions Discuss how potential difference and electric field strength are related.

Give an example. What is the strength of the electric field in a region where the electric potential is constant? Will a negative charge, initially at rest, move toward higher or lower potential? Explain why. What is the strength of the electric field between two parallel conducting plates separated by 1. The electric field strength between two parallel conducting plates separated by 4.

What is the potential 1. How far apart are two conducting plates that have an electric field strength of 4. The voltage across a membrane forming a cell wall is What is the electric field strength? The value is surprisingly large, but correct.

You may assume a uniform electric field. Membrane walls of living cells have surprisingly large electric fields across them due to separation of ions. Membranes are discussed in some detail in Nerve Conduction—Electrocardiograms.