Suppose the three branch currents in this circuit are I₁ = -3 A, I₂ = -18 A, and I3 = -15 A. The voltage drop across each circuit element is as given in the table below. From this information, determine, for each of these circuit elements,(i) whether an active or passive sign convention is being used for that element,(ii) whether that element is absorbing or producing a net (positive) amount of electrical power.In each answer box within the table below, type the correct choice from among the bold-faced words above.V₂ BABACD1₁AB1₂1₂+Circuit element Voltage drop Sign convention? Absorbing or producing net electrical power?-9 V-2 VC9 V-11 VD

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Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Suppose the three branch currents in this circuit are I₁ = -3 A, I₂ = -18 A, and I3 = -15 A. The voltage drop across each circuit element is as given in the table below. From this information, determine, for each of these circuit elements,
(i) whether an active or passive sign convention is being used for that element,
(ii) whether that element is absorbing or producing a net (positive) amount of electrical power.
In each answer box within the table below, type the correct choice from among the bold-faced words above.
V₂ B
A
B
A
C
D
1₁
A
B
1₂
1₂
+
Circuit element Voltage drop Sign convention? Absorbing or producing net electrical power?
-9 V
-2 V
C
9 V
-11 V
D

Expert Solution

Step 1

Introduction

The passive sign convention is used when describing the power dissipated by passive elements in a circuit, such as resistors, capacitors, and inductors.

The active sign convention is used when describing the power supplied by active elements in a circuit, such as voltage sources, current sources, and transistors.

Given data:

The current given is;

$\begin{array}{rcl} I_{1} & = & - 3 A \\ I_{2} & = & - 18 A \\ I_{3} & = & - 15 A \end{array}$

The voltage drop across elements;

$\begin{array}{rcl} V_{A} & = & - 9 V \\ V_{B} & = & - 2 V \\ V_{C} & = & 9 V \\ V_{D} & = & - 11 V \end{array}$

Find out:

(i) Whether active or passive sign convention is used.

(ii) The element is absorbing or producing power.

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