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Abstract

Electric circuit analysis is the collection of methods and tools to determine the voltages and currents as well as the power consumption and generation in electric circuits and components. The relations among the electric elements depend on the elements of the circuit and their configuration or topology. That is how the circuit elements are connected together.

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Problems

Problems

  1. 2.1

    Find the number of electrons that needs to pass a section of a wire in unit of time to create a current of 2.2 A.

  2. 2.2

    Find the current density of a wire with cross section of 25 mm2 that passes 1.2 A current.

  3. 2.3

    Find the resistance of a 100 m wire made of copper, with cross section of 25 mm2.

  4. 2.4

    What is the resistance of a 100 g copper when it is shaped as a wire with cross section of 4 mm2?

  5. 2.5

    Find the equivalent resistance of the following circuit.

figure a
  1. 2.6

    Find the equivalent resistance of the following circuit.

figure b
  1. 2.7

    Find the equivalent resistance of the following circuit.

figure c
  1. 2.8

    Find the equivalent resistance of the following circuit.

figure d
  1. 2.9

    Find the current and voltage drop of all resistors in the following circuit.

figure e
  1. 2.10

    Find the current and voltage drop of all resistors in the following circuit.

figure f
  1. 2.11

    Find the current and voltage drop of all resistors in the following circuit.

figure g
  1. 2.12

    Find the current and voltage drop of all resistors in the following circuit.

figure h
  1. 2.13

    In the circuits of problems 2.9–2.12, find the power consumption in each resistor. How much power is drawn from the source?

  2. 2.14

    An inductor shows a voltage of 150 V when its current varies 2.5 A in 2 ms.Find the inductance.

  3. 2.15

    Find the equivalent inductance of the following circuit.

figure i
  1. 2.16

    Find the equivalent inductance of the following circuit.

figure j
  1. 2.17

    Find the equivalent inductance of the following circuit.

figure k
  1. 2.18

    Find the current and voltage of all inductors in the following circuit.

figure l
  1. 2.19

    Find the current and voltage of all inductors in the following circuit.

figure m
  1. 2.20

    Find the current and voltage of all inductors in the following circuit.

figure n
  1. 2.21

    Find the current and voltage of all inductors in the following circuit.

figure o
  1. 2.22

    Find the energy stored in the circuits of problems 2.19–2.22.

  2. 2.23

    Find the equivalent capacitance of the following circuit.

figure p
  1. 2.24

    Find the equivalent capacitance of the following circuit.

figure q
  1. 2.25

    Find the equivalent capacitance of the following circuit.

figure r
  1. 2.26

    Find the current and voltage of each capacitor in the following circuit.

figure s
  1. 2.27

    Find the current and voltage of each capacitor in the following circuit.

figure t
  1. 2.28

    Find the current and voltage of each capacitor in the following circuits.

figure u
  1. 2.29

    Find the current and voltage of each capacitor in the following circuits.

figure v
  1. 2.30

    Calculate the energy stored in the circuits of problems 2.26–2.29.

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Izadian, A. (2019). Component Voltage and Current Laws. In: Fundamentals of Modern Electric Circuit Analysis and Filter Synthesis. Springer, Cham. https://doi.org/10.1007/978-3-030-02484-0_2

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  • DOI: https://doi.org/10.1007/978-3-030-02484-0_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-02483-3

  • Online ISBN: 978-3-030-02484-0

  • eBook Packages: EngineeringEngineering (R0)

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