What is the formula for Stokes theorem?

By Stokes’ theorem, ∬S1curl⇀F⋅d⇀S=∫C⇀F⋅d⇀r=∬S2curl⇀F⋅d⇀S.

How do you calculate flux in Stokes theorem?

Stokes’ theorem says we can calculate the flux of curl F across surface S by knowing information only about the values of F along the boundary of S. Conversely, we can calculate the line integral of vector field F along the boundary of surface S by translating to a double integral of the curl of F over S.

When can we apply Stokes theorem?

Stokes’ theorem can be used to turn surface integrals through a vector field into line integrals. This only works if you can express the original vector field as the curl of some other vector field. Make sure the orientation of the surface’s boundary lines up with the orientation of the surface itself.

What is Stokes theorem in physics class 11?

The force that retards a sphere moving through a viscous fluid is directly ∝to the velocity and the radius of the sphere, and the viscosity of the fluid.

What is Stokes law in physics class 11?

Stoke’s Law states that the force that retards a sphere moving through a viscous fluid is directly proportional to the velocity and the radius of the sphere, and the viscosity of the fluid.

Where can we apply Stokes theorem?

Stokes’ theorem is also used in evaluating the curl of a vector field. Stokes’ theorem and the generalized form of this theorem are fundamental in determining the line integral of some particular curve and evaluating a bounded surface’s curl. Generally, this theorem is used in physics, particularly in electromagnetism.

What is stokes law write the formula and importance of it?

In Stokes’s law, the drag force F acting upward in resistance to the fall is equal to 6πrηv, in which r is the radius of the sphere, η is the viscosity of the liquid, and v is the velocity of fall. Key People: Sir George Gabriel Stokes, 1st Baronet Related Topics: viscosity fluid flow.

What is Stoke’s method?

The stokes method allows each individual isolate to be compared with sensitive control of the same or similar species which is subjected to the same technical conditions of medium, incubation time, atmosphere, temperature, and disc content.