TEST 1 (Modern Physics) 22.03.2017

TEST 1 (Modern Physics)

22.03.2017

1. Differential form of Faraday’s law is given by:

A. D.

B. E.

C.

Explain the meaning of symbols

2. Divergence operator of any vector field, is defined as:

A. D.

B.

C. E.

Explain the meaning of symbols t )

ε (

μ

rot _{o o}



 

 E

j B

 



dt

d d ^B

C

 



rot t



 

 B

E

 

o t

o 

 B

E

 

ε μ rot

E  div

z E y

E x

Ex y _z



 



 



 



 E

E 

 

div div E E ˆi ˆj kˆ

z E y

E x

Ex y _z



 



 



 





 



i C

a a

i i



 

l E

n E

 



  d

ˆ lim )

div

( 0

εo

divE  ρ

V lim d

div V 0



  E A

E

 

 

0 divB 

5. Maxwell’s equations predict that the speed of light in free space is A. an increasing function of frequency

B. a decreasing function of frequency C. independent of frequency

D. a function of the distance from the source E. a function of the size of the source

3. For a field vector in 3D space, expressed as:

A. , D. , B. , E. , C. ,

j i

w  yˆ x ˆ

0 div w 

0 curlw  0

div w 

0 curlw  0

div w 

0 curlw 

0 div w 

0 curlw 

0 g w 

rad curlw  0

4. General form of a differential wave equation is:

A. D.

B.

E.

C. Explain the meaning of symbols

2 2 2 2

t v ) 1 t ,

( 



 



 r

2 2

v2

) 1 ,

( t t





 



 r

2 2 2

2 ( , ) v

t t





 



 r t t





 



² ₂

v ) 1 , (r

2 0

2 0

2  x 

dt x

d 