Calculating Electric field and total charge

In summary, The surface charge density on a gold plate with a radius of 15cm is 5x10^-9 C/m^2. Using the equation En=\rho / \epsilon, the electric field intensity near the center of the plate is calculated to be 565 V/m. To find the total charge on the plate, the equation q= (charge density) x area of plate can be used, assuming the charge density is constant throughout the entire surface of the plate.
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Homework Statement


Surface charge density on gold plate of radium 15cm is 5x10^-9 C/m^2
A) Calculate electric field intensity (E) near plate center
B) Assuming surface charge density is constant over the entire surface of the plate, calculate the total charge on the plate

Homework Equations


En=[itex]\rho[/itex] / [itex]\epsilon[/itex]


The Attempt at a Solution


A) En=5x10^-9 C/m^2 / 8.85x10^-12 = 565 V/m
B) Not sure on the total charge equation.
 
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FAQ: Calculating Electric field and total charge

What is an electric field?

An electric field is a physical quantity that describes the influence that a charged particle exerts on other charged particles in its surrounding space. It is represented by a vector that points in the direction of the force that a positive test charge would experience if placed in the field. The magnitude of the electric field is determined by the strength and distribution of the charges creating it.

How do you calculate the electric field?

The electric field can be calculated using the equation E = F/q, where E is the electric field, F is the force exerted on the test charge, and q is the magnitude of the test charge. To use this equation, the force must be known or able to be calculated. Alternatively, the electric field can also be calculated using the equation E = kQ/r^2, where k is the Coulomb's constant, Q is the magnitude of the charge creating the field, and r is the distance from the charge to the point where the field is being measured.

What is total charge?

Total charge is the net amount of electric charge present in a system or object. It can be positive, negative, or neutral, depending on the balance of positive and negative charges. In a closed system, the total charge remains constant, meaning that the amount of positive charge must equal the amount of negative charge.

How do you calculate total charge?

The total charge can be calculated by adding up the individual charges present in a system. If the charges are known, the total charge can be determined by using the equation Q = ne, where Q is the total charge, n is the number of charges, and e is the fundamental unit of charge, equal to 1.6 x 10^-19 Coulombs. Alternatively, if the electric field and distance from a charge are known, the total charge can be calculated using the equation Q = Er^2/k, where E is the electric field, r is the distance, and k is the Coulomb's constant.

What are some real-world applications of calculating electric field and total charge?

Calculating electric field and total charge has many real-world applications, including designing and analyzing electrical circuits, predicting the behavior of charged particles in electromagnetic fields, and understanding the properties of materials. It is also essential in fields such as electronics, telecommunications, and energy production. Additionally, studies of electric fields and charges are crucial for understanding weather patterns, lightning, and the movement of charged particles in the Earth's atmosphere and space.

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