Question 1.SA.12: Calculate the net or total inductance as seen from the 24 V ......

Electrical Engineering Fundamentals [1024827]

Calculate the net or total inductance as seen from the 24 V source vantage point in the circuit shown below.

٢٠٢٣٠٤٠٦_٢١٠٩١٩

Step-by-Step

The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.

Focus on the parallel combination of $L_2, L_3$ , and $L_4$ , first. Apply Eq. 1.36 to calculate the equivalent inductance $L_{234}$ for the three parallel inductors:

$L_{EQ}=\frac{L_1L_2L_3}{L_1L_2+L_2L_3+L_1L_3}$ (1.36)

L_{234}=\frac{L_2L_3L_4}{L_2L_3+L_3L_4+L_1L_4}

= $\frac{(20 mH)(30 mH)(40 mH)}{(20 mH)(30 mH)+(30 mH)(40 mH)+(20 mH)(40 mH)}$

= 9.23 mH

This reduces the circuit as shown below:

Inductors $L_1$ and $L_{234}$ , in this reduced circuit, lend themselves to a linear com-bination. Therefore, the equivalent inductance $L_{EQ}$ for the entire parallel and series inductor hybrid circuit would be as follows:

L_{EQ}=L_1+L_{234}= 10  mH+ 9.23  mH =19.23  mH

٢٠٢٣٠٤٠٦_٢١٠٨٣٨

Related Answered Questions

Question: 1.SA.10

Consider the series RL circuit given in Problem 9, in discharge mode, with voltage source removed. Parameters such as R = 10 Ω and L = 10 mH are the same. The switch has been closed for long period of time, such that the current has developed to the maximum or steady-state level 1.04 A.How much time ...

Verified Answer:

Apply series RL current equation, Eq. 1.31. [latex...

Question: 1.SA.7

Determine the equivalent capacitance in series and parallel combination circuit shown below. The capacitance values are: C1 = 10 μF, C2 = 10 μF, C3 = 20 μF, and C4 = 20 μF. ...

Verified Answer:

The capacitors in this circuit that lend themselve...

Question: 1.SA.8

Assume that the circuit in Problem 6 is powered by a 60 Hz AC source instead of the DC source. Determine the total capacitive reactance, Xc, seen by the AC source. ...

Verified Answer:

If the DC source is replaced by an AC source, the ...

Question: 1.SA.9

Consider the series RL circuit shown in the diagram below. The source volt-age is 12 V, R = 10 Ω, and L = 10 mH. The switch is closed at t = 0. What would be the magnitude of current flowing through this circuit at t = 2 ms? ...

Verified Answer:

In most series RL cases, the current value at a ce...

Question: 1.SA.13

Assume that the circuit in Problem 12 is powered by a 60 Hz AC source. Calculate the inductive reactance, XL, as seen by the AC voltage source. ...

Verified Answer:

If the DC source is replaced by an AC source, the ...

Question: 1.SA.11

Determine the equivalent inductance LEQ for three parallel inductor DC circuit shown in the diagram below if L1 = 2 mH and L2 = 5 mH, and L3= 20 mH. ...

Verified Answer:

Apply Eq. 1.36 to compute

L_{EQ}

fo...

Question: 1.SA.4

Consider the RC circuit shown in the diagram below. The source voltage is 12 V. The capacitor voltage is 2 V before the switch is closed. The switch is closed at t = 0. What would the capacitor voltage be at t = 5 seconds? ...

Verified Answer:

This particular case represents a capacitor chargi...

Question: 1.SA.6

Determine the equivalent capacitance for the DC circuit shown below if this circuit consists of twenty 100 μF capacitors in series. ...

Verified Answer:

Apply Eq. 1.22 to “n” series capacitor circuit sho...

Question: 1.SA.3

What is the resistance of the following circuit as seen from the battery? ...

Verified Answer:

No current will flow through the two 4 Ω resistors...

Question: 1.SA.5

Determine the equivalent capacitance for the DC circuit shown in the circuit diagram below if C1 = 5 μF and C2 = 10 μF. ...

Verified Answer:

Application of Eq. 1.21 to the two-capacitor serie...