Old Exam Papers June 2012 (Set 2)

fl) dhft;s fd fdUgha nks lfn'k Qyuksa A rFkk B ds
fy, %
b g b g b g 5
. A B B. A A. B
2. (a) What do you understand by gradient of a scalar
field ? Derive the expression for gradient of a scalar
field bx , y, zgin
Cartesian coordinate system. 6
vfn'k {ks= dh izo.krk ls vki D;k le>rs gSa \ ,d
vfn'k {ks= bx , y, zg
ds fy, dkrhZ; funsZ'kkad rU= esa
izo.krk dk O;atd izkIr dhft;sA 6
(b) For a scalar function and vector function A
prove :
b g b g b g
(i) . A . A A.
b g b gb g 4
(ii) A A A
fl) dhft;s fd fdlh vfn'k Qyu rFkk lfn'k
Qyu A ds fy, %
b g b g b g
(i) . A . A A.
b g b gb g 4
(ii) A A A
200 2 PH-03
7. (a) Derive expression for rate of growth of current in a
series L-R circuit connected with a dc source.
Js.kh L-R ifjiFk esa ,d fn"V /kkjk lzksr }kjk /kkjk o`f)
dh nj ds fy, O;atd izkIr dhft;sA 6
(b) Compare a series and a parallel LCR circuit. 4
Js.kh LCR ifjiFk dh rqyuk lekUrj LCR ifjiFk ls
dhft;sA 4
8. (a) Determine the energy required to develop current
i in an inductance coil L. In which form is this energy
present ? 6
izsjdRo L dh dq.Myh esa /kkjk i LFkkfir djus esa O;f;r
ÅtkZ dk eku Kkr dhft;sA ;g ÅtkZ fdl :i esa
fo|eku jgrh gS \ 6
(b) 5 amp current when flowed through a coil having
500 turns develops a magnetic flux of 5 milli weber
per turn. Determine the self inductance of the
coil. 4
500 Qsjksa okyh fdlh dq.Myh esa 5 ,sfEi;j /kkjk izokfgr
djus ij 5 feyh oscj dk pqEcdh; yDl izfr Qsjk
mRiUu gksrk gSA dq.Myh ds LoizsjdRo dh x.kuk
dhft;sA 4
PH-03 5 PTO
6