{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# Section2-6 - Slide Presentations for ECE 329 Slide...

This preview shows pages 1–7. Sign up to view the full content.

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

View Full Document

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

View Full Document

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

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

Unformatted text preview: Slide Presentations for ECE 329, Slide Introduction to Electromagnetic Fields, to supplement “Elements of Engineering to Electromagnetics, Sixth Edition” Electromagnetics, by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, Urbana, Illinois, USA Distinguished Amrita Professor of Engineering Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India 2.6 The Law of Conservation of Charge 2.6-3 Law of Conservation of Charge d ∫S J • dS + dt ∫V ρ dv = 0 J ρ (t) V S dS Current due to flow of charges emanating from a closed surface S = Time rate of decrease of charge enclosed by S. 2.6-4 Summarizing, we have the following: Maxwell’s Equations d ∫C E • dl = – dt ∫ B • dS d ∫C H • dl = ∫ J • dS + dt ∫ D • dS ∫S D • dS = ∫V ρ dv (1) (2) (3) (4) ∫S B • dS = 0 2.6-5 Law of Conservation of Charge d ∫S J • dS + dt ∫V ρ dv = 0 (5) (4) is, however, not independent of (1), whereas (3) follows from (2) with the aid of (5). 2.6-6 Example: Finding ÑH gd l around C. ∫ C dS I1 Q(t) C S I2 d ∫C H • dl = I2 + dt ∫S D • dS (Ampére’s Circuital Law) 1 ∫S D • dS = 2 Q (Gauss’ Law for the electric field and symmetry considerations) 2.6-7 dQ I2 – I1 + =0 dt dQ = I1 – I2 dt (Law of Conservation of charge) d 1 ∴ ÑH gd l = I2 + Q ∫C dt 2 1 = I2 + ( I1 − I2 ) 2 1 = ( I1 + I2 ) 2 ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 7

Section2-6 - Slide Presentations for ECE 329 Slide...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online