Problem

For the circuit shown in Fig. 9.46, find Zeq and use that to find current I. Let ω = 10 ra...

For the circuit shown in Fig. 9.46, find Zeq and use that to find current I. Let ω = 10 rad/s.

Figure 9.46

Step-by-Step Solution

Solution 1

Consider the following circuit diagram:

Picture 1

Figure 1

Consider that the angular frequency, .

Calculate the total impedance of the circuit as follows:

The elements are in series and the resultant reactance is in parallel with resistance.

Calculate the equivalent impedance offered by elements and assume that as .

The resultant impedance, , and are in series.

Calculate the total impedance offered by these elements.

Transform the impedances to polar form and simplify to get the following.

Thus, the equivalent impedance, of the circuit is .

The following is the expression for the current, in the circuit.

Substitute for .

The following is the general expression for the current, .

Thus, the current, in the circuit is .

Add your Solution
Textbook Solutions and Answers Search