How do you find the flux of a curved surface?
The flux associated with the base of the hemisphere is ϕ=-EπR2 (negative as it is the incoming flux). Hence, the same amount of flux wil be associated with curved surface, but the sigh of the flux will be positive as it is as outgoing flux. Hence, ϕcurve=EπR2 .
What is the net electric flux through the cylinder?
The net electric flux through the cylinder is 2E(πR2).
What is the net electric flux through the torus ie Doughnut shape?
Φ=−112.94Wb.
In which direction is the electric field on the cylindrical Gaussian surface?
The electric field of an infinite cylindrical conductor with a uniform linear charge density can be obtained by using Gauss’ law. Considering a Gaussian surface in the form of a cylinder at radius r > R, the electric field has the same magnitude at every point of the cylinder and is directed outward.
How do you find the electric field outside a cylinder?
Consider an infinitely long cylinder of radius R made out of a conducting material. The charge density of the surface of the cylinder is ?. Use Gauss law to calculate the electric field outside the cylinder. (Note that the element of surface in cylindrical coordinates is given by ?? = ?????).
What is lambda in electric field?
Linear charge density (λ) is the quantity of charge per unit length, measured in coulombs per meter (C⋅m−1), at any point on a line charge distribution. Charge density can be either positive or negative, since electric charge can be either positive or negative.
Is the electric field in a circuit constant?
We studied electric fields due to point charges. The magnitude of these fields decreases with the square of the distance from the point charge. Instead, the electric field inside a wire in a circuit is constant.
Why is electric field constant in a circuit?
Er… the electric field is simply the gradient of the potential. Since you are applying a constant potential at the ends of the wire, and the wire’s length is constant, this means that the potential gradient is constant. Thus, the electric field is a constant.