# How can this statement be phrased in mathematical

• Notes
• 21

This preview shows pages 6–11. Sign up to view the full content.

How can this statement be phrased in mathematical terms?

This preview has intentionally blurred sections. Sign up to view the full version.

7 2.1. Example Maxwell’s Equations (iii) Faraday's law describes how a changing magnetic field can create ("induce") an electric field . This aspect of electromagnetic induction is the operating principle behind many electric generators : A bar magnet is rotated to create a changing magnetic field, which in turn generates an electric field in a nearby wire. How can this statement be phrased in mathematical terms? 2. Vector Calculus
8 2. Vector Calculus 2.1. Example Maxwell’s Equations (iv) Ampère's law with Maxwell's correction states that magnetic fields can be generated in two ways: by electrical current (this was the original "Ampère's law") and by changing electric fields (this was "Maxwell's correction"). How can this statement be phrased in mathematical terms?

This preview has intentionally blurred sections. Sign up to view the full version.

9 2. Vector Calculus 2.1. Example Maxwell’s Equations Maxwell’s equations can be formulated very conveniently using concepts of vector calculus . Typically, they can be written either in a differential form using vector differential operators, or in integral form . These differential and Integral forms are related by famous vector integral theorems which will be discussed here as well.
10 2.2.Scalar and Vector Fields A scalar field assigns to each point in a region of a 1D, 2D or 3D domain a scalar value which is associated with this point.

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern