14. Numerical value of 4€, is :
1
(a) 9 x 109
(6)
9 x 109
(c)1
(d) some other value.
Answers
Step-by-step explanation:
1/4€=9x10*9 OK friend this is urs answer
Answer:
SOLUTIONS
1. Resonant frequency fr = 1/2rrv(LC) = 1126 kHz.
Q = w,L/R = 2rrfrL/R = 177.
Impedance Z = R + j I wL - _1_) = R [1 + j (WL __ 1_)~. \' wC R wCR~
:. the angle rp and magnitude IZI of Z are given by:
tan rp = [': - w~RJ and IZI = Rv(1 + tan2 rp),
i.e. ( w Wr) tanrp=Q --- . Wr W
( W)2 _ tan rp(W )_ 1 = 0
wr Q wr
W tan rp J[ (tan rp)] and Wr = 2 Q + 1 + 2 Q ; since at resonance W = Wr and tan rp
= 0, and only the positive sign has meaning. At the upper half-power fre-
quency W = Wl, tan rp = 1.
:= 21Q + J~ + 4~21 At the lower half-power frequency W = W2, tan rp = - 1.
:: = - 2~ + J [1 + 4~l Wl
In this case, Q = 177, sofi = - = 1129 kHz
2rr
and W2 12 = -= 1122 kHz.
2rr
2. [max = 344 rnA so [max/V(2) = 243 rnA.
Bandwidth at [max/V(2) = 16 kHz.
:. Q = frI(16 X 103) = 884 X 103/(16 X 103) = SS.2