Question

A circuit is consisted from resistors, inductors and capacitors. The total impedance is in the form of Z=A+BJ, and B is a positive number. What can we say about this circuit?

a.can not be determined
b.it behaves like a series/parallel RL
c.it behaves like a series/parallel LC
d.it behaves like a series/parallel RC

Answer 1

The circuit behaves like a series or parallel RL circuit since the positive B in the impedance indicates inductive reactance is greater than capacitive reactance.

Step-by-step explanation:

If the total impedance of an AC circuit is given in the form Z=A+BJ, where B is a positive number, it indicates that the circuit's inductive reactance (XL) is greater than its capacitive reactance (XC). Since impedance (Z) consists of resistance (R), inductive reactance (XL), and capacitive reactance (XC), a positive B in the imaginary part suggests that the circuit is behaving more like an inductor than a capacitor.

In such a case, the impedance can be written as Z = R + j(XL - XC), and with B being positive, XL > XC. Therefore, in this scenario, the circuit behaves like a series or parallel RL circuit because the effects of the inductors are dominating the behavior of the circuit as opposed to the capacitors.