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6.013 Electromagnetics and Applications Lecture 1

Prof. Markus Zahn Page 1 of 7

Massachusetts Institute of Technology

Department of Electrical Engineering and Computer Science

6.013 Electromagnetics and Applications

Lecture 1, Sept. 8, 2005

I. Maxwell’s Equations in Integral Form in Free Space

1. Faraday’s Law

0

C S

d

E ds = - H da

dt   

Circulation Magnetic Flux

of E

-7 0 = 4 ×10  henries/meter

[magnetic permeability of

free space]

EQS form:

CE ds = 0  (Kirchoff’s Voltage Law, conservative electric

field)

MQS circuit form: di v = L

dt

(Inductor)

2. Ampère’s Law (with displacement current)

0

C S S

d

H ds = J da E da

dt     

Circulation Conduction Displacement

of H Current Current

MQS form:

C S H ds = J da  