the minimum value of the total impedance will be:
a. 1Kohms
b. 2Kohms
c. 3Kohms
d. 5Kohms
e. none of the above
a. 1Kohms
b. 2Kohms
c. 3Kohms
d. 5Kohms
e. none of the above
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In general: Z = R -j/wC + jwL. You could just find the minumum of this equation if you want.
Impedance here can't be less than the real component (the resistance), so the answer is either D or E. For a series LC circuit, there will be some frequency at which the reactive component is 0 (which would make D correct), so let's find out if that is between 100 Hz and 100 kHz.
Let: jwL - j/wC = 0
jw^2LC - j = 0
w^2 - 1/LC = 0
f = w/(2*pi) = 79.58 kHz.
The answer must be D.
Now what do you say we ditch the rest of these losers and go grab a beer?
Impedance here can't be less than the real component (the resistance), so the answer is either D or E. For a series LC circuit, there will be some frequency at which the reactive component is 0 (which would make D correct), so let's find out if that is between 100 Hz and 100 kHz.
Let: jwL - j/wC = 0
jw^2LC - j = 0
w^2 - 1/LC = 0
f = w/(2*pi) = 79.58 kHz.
The answer must be D.
Now what do you say we ditch the rest of these losers and go grab a beer?