Before designing the filter, one must understand the relationship between the output voltage of the circuit and the frequency. For a series RLC circuit, how do the impedances of the circuit elements depend on the frequency? a. The impedance magnitudes do not depend on frequency.
b. Both impedance magnitudes decrease when the frequency increases.
c. The magnitude of the impedance of the capacitor decreases when the frequency increases; the magnitude of the impedance of the inductor increases when the frequency increases.
d. The magnitude of the impedance of the capacitor increases when the frequency increases; the magnitude of the impedance of the inductor decreases when the frequency increases.

Option b. is correct

Explanation:

An RLC electrical circuit consists of constituent components: a resistor (R), an inductor (L), and a capacitor (C). A resistor, an inductor, and a capacitor are connected in series or parallel.

The impedances of the circuit elements depend on the frequency.

Both impedance magnitudes decrease when the frequency increases

the part of the wave he is travelling on is the crest

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.