{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1_1_Midterm_Solution_EE1_2010Fall

# 1_1_Midterm_Solution_EE1_2010Fall - Wt I 2(“Jim Mia(69 El...

This preview shows pages 1–3. Sign up to view the full content.

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: Wt /, I 2 (“Jim Mia (69)) El Midterm f O Fall, 2010 (’3 r2 am (13)" t) §J MinQ/w/ #1 (35pts) For the case of a ring of unit rm line charge density pS shown in the CEinyllowing figure, the MAN radius of the ring is a. find (1) electric field anywhere in Z- -axis from Coulomb’s law (2) the potential ' anywhere in Z-axis through path integration of the electric field (3) the potential anywhere in Z—axis (3} through charge—potential integration (3) f" 2 /M(?l, WWW” a i V , {In '3 MMXA w "I? . A A) Z‘MWOZ E {’2} r ._ I “I i 2*. : l, ﬂ“’i"‘2.’“j E r k: ”/1 E04 #2. (SOpts) For a boundary surface between air and a dielectric with dielectric constant of 4, the electric field in the air right above the surface is measured to be 30 degree from the normal direction of the surface (assumed to be z«axis) and with a magnitude of 1. Write the electric field and electric flux density in the dielectric right below the surface in vector form. if the dielectric has a conductivity 0:0.1, what would be the current density excited by the field? a; rim/Do be m! 7,7,, 7 0w2iﬂ 5"; P ,:‘)I ﬁe" (5' E7; " f“; {’0 Hit)»: A; 5’ «l r M “’“t’ni @ x A U 9%!{3 ’5‘; , #3. (35pts) For a parallel plate capacitor with a layer of dielectric (95:4) inserted shown in the following figure. The area of the plate is S and the thickness of the dielectric layer and the air layer are d1 and d2 respectively. (1) Derive its capacitance from Gauss’s law. (2) if the capacitor is standalone, one takes the dielectric away from it, will the energy stored in the capacitor increase or reduce? (3) if the capacitor is connected to a voltage source with constant voitage qune takes the dielectric away from it again, will the energy stored in the capacitor increase or reduce? an 5 ‘ 7 (”A“) , ad 5” t: I 7 Mg 9 "3 \$043? J! 7““ ’7 Ch 3‘ mmm Lg” Gtmvssimw CD ”D 5 £391” 5, [a a 9,1: ,5 Q, Ni 55 D (M £5] ﬁﬁ - 7' £53 655 '5’ \(y: Lied: ‘ Q35 fl” ,> V54 (Aka!) Q05 52) (a? 5 {25 5/259 {3 W? H? m ’ ii . i , i Q :7? YC W‘ aims W1, ,« K 5 KM . :7 Q" j 1 /® ...
View Full Document

{[ snackBarMessage ]}

### Page1 / 3

1_1_Midterm_Solution_EE1_2010Fall - Wt I 2(“Jim Mia(69 El...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online