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Subelement T5

Electrical principles: math for electronics; electronic principles; Ohm's Law

Section T5C

Electronic principles: capacitance; inductance; current flow in circuits; alternating current; definition of RF; definition of polarity; DC power calculations; impedance

What is the ability to store energy in an electric field called?

  • Inductance
  • Resistance
  • Tolerance
  • Correct Answer
    Capacitance

This one can throw people off a bit; many confuse Inductance and Capacitance, which are pretty similar on this question.

A capacitor is a passive component that consists of at least one pair of conductors separated by a dielectric (an insulator). When voltage is applied to the capacitor (creating a difference in potential between the two) it creates an electric field across the dielectric which stores energy. The easiest way for me to remember these is that an inductor, being a coil of wire, is used to create an electromagnet (you can make an electromagnet by wrapping a coil of insulated wire around a nail, for example), and so an inductor stores energy in a magnetic field. The capacitor stores energy in an electric field.

Once again:

What is the ability to store energy in a MAGNETIC field called? Inductance

What is the ability to store energy in an ELECTRIC field called? Capacitance

MICE acronym for above = Magnetic & Inductance pair while Capacitance & Electric pair

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Tags: electronics definitions capacitance arrl chapter 3 arrl module 5

What is the basic unit of capacitance?

  • Correct Answer
    The farad
  • The ohm
  • The volt
  • The henry

The basic unit of capacitance, the Farad, is named for the physicist Michael Faraday.

The other units listed here are:

"Henry was Inducted into the hall of fame, and Faraday tipped his Cap(acitance)."

An additional memory aid: Many of us have heard of a Faraday Cage. Cages CAPture things (CAPacitance)

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Tags: electronics definitions capacitance arrl chapter 3 arrl module 5

What is the ability to store energy in a magnetic field called?

  • Admittance
  • Capacitance
  • Resistance
  • Correct Answer
    Inductance

An inductor is a coil of wire, usually around a non-ferrite (nonmagnetic)
core. The basic unit of inductance is the henry. Whenever you make a coil of wire, it creates a magnetic field; think of an electromagnet, which is basically an inductor with a ferrite core. The ability to store energy in such a field is Inductance. So remember -- _inductance creates a magnetic field

Capacitance has a very similar (and in fact opposite) effect to an inductor and creates an electric field.

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Tags: electronics definitions inductance arrl chapter 3 arrl module 5

What is the basic unit of inductance?

  • The coulomb
  • The farad
  • Correct Answer
    The henry
  • The ohm

An inductor is a passive electrical component that stores energy in a magnetic field; its unit is the henry, which is named for Joseph Henry.

It's good to know what the other units listed are as well, since they are all real units:

Study Tip: Consider using the line "Henry was inducted into the hall of fame, and (Farad)ay tipped his Cap(acitance)" to jog your memory.

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Tags: electronics definitions inductance arrl chapter 3 arrl module 5

What is the unit of frequency?

  • Correct Answer
    Hertz
  • Henry
  • Farad
  • Tesla

Hertz is the standard unit for frequency, as used in the SI unit system. It is defined as the number of cycles per second of something periodic. For example a quartz clock ticks at \(1\)Hz. The wall outlet AC (in the US) is set to \(60\)Hz. The tone of A just below middle C is \(220\) Hz. The unit is named after Heinrich Hertz](wiki/Heinrich_Hertz). Here is a graphical example from Wikipedia.

The other (incorrect) answers here are:

  • the farad - unit of capacitance
  • the henry - unit of inductance
  • the tesla - unit of magnetic field strength. \(31 µT\) (\(3.1 \times 10 − 5 T\)) - strength of Earth's magnetic field at 0° latitude (on the equator)

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Tags: frequencies definitions arrl chapter 2 arrl module 2

What does the abbreviation “RF” refer to?

  • Correct Answer
    Radio frequency signals of all types
  • The resonant frequency of a tuned circuit
  • The real frequency transmitted as opposed to the apparent frequency
  • Reflective force in antenna transmission lines

RF is "Radio Frequency" - it's not reflected force or any of these other choices. Just learn this one.

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Tags: arrl chapter 2 arrl module 2

A radio wave is made up of what type of energy?

  • Pressure
  • Correct Answer
    Electromagnetic
  • Gravity
  • Thermal

Radio waves are a type of electromagnetic (EM) radiation with wavelengths in the electromagnetic spectrum longer than infrared light. Radio waves have frequencies as high as 300 GHz to as low as 3 kHz, though some definitions describe waves above 1 or 3 GHz as microwaves, or include waves of any lower frequency. (Wikipedia)

EM waves are made up of magnetic field and electric field oscillations in phase with each other, but their direction is perpendicular.

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Tags: arrl chapter 4 arrl module 8

What is the formula used to calculate electrical power in a DC circuit?

  • Correct Answer
    Power (P) equals voltage (E) multiplied by current (I)
  • Power (P) equals voltage (E) divided by current (I)
  • Power (P) equals voltage (E) minus current (I)
  • Power (P) equals voltage (E) plus current (I)

\[P={E}\times{I}\]

\[E=\frac{P}{I}\]

\[I=\frac{P}{E}\]

  • P for Power (Watts)
  • E for Electromotive Force (Voltage, Volts)
  • I for Intensity (Current) (Amperes, Amps)

An easy way to remember is "Pixie". P I x E

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Tags: formulas math electrical power electrical current electromotive force (voltage) power law arrl chapter 3 arrl module 4

How much power is being used in a circuit when the applied voltage is 13.8 volts DC and the current is 10 amperes?

  • Correct Answer
    138 watts
  • 0.7 watts
  • 23.8 watts
  • 3.8 watts

\(P = I \times E\) \(=\) \(10 \times 13.8\) \(=\) \(138\) watts

The formula for electrical power is \(P = I \times E\).

"Power (in watts) equals Current (in amperes) multiplied by Potential Energy (in volts)."

\(P\) (watts) = \(10\) (amps)\(\times 13.8\) (volts)

\(10 \times 13.8 = 138\)

\(138\) watts

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Tags: math dc power electrical power electromotive force (voltage) electrical current power law arrl chapter 3 arrl module 4

How much power is being used in a circuit when the applied voltage is 12 volts DC and the current is 2.5 amperes?

  • 4.8 watts
  • Correct Answer
    30 watts
  • 14.5 watts
  • 0.208 watts

Power is the rate of of electrical energy generation or consumption.

\(P = V \times I\) (watts \(=\) volts \(\times\) amperes)

Where \(P\) is power (\(W\)), \(V\) is voltage (\(V\)), and \(I\) is current (\(A\)).

  • \(P = I \times V\)
  • \(V = 12V\)
  • \(I = 2.5A\)

\(P = 12V \times 2.5A = 30W\)

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Tags: math dc power electrical power electromotive force (voltage) electrical current power law arrl chapter 3 arrl module 4

How many amperes are flowing in a circuit when the applied voltage is 12 volts DC and the load is 120 watts?

  • 0.1 amperes
  • Correct Answer
    10 amperes
  • 12 amperes
  • 132 amperes

We will use the Power Law, which is most commonly written as:

\[P = I \times E\]

We are given:

\begin{align*} \text{(Power) } P &= 120\text{ watts}\\ \text{(Current) } I &= \text{?}\\ \text{(Voltage) } E &= 12\text{ volts}\\ \end{align*}

To solve for \(I\) we can divide both sides by \(E\) and get

\begin{align*} I &= \frac{P}{E}\\ I &= \frac{120}{12}\\ &= 10\text{ amperes} \end{align*}

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Tags: math ohm's law electrical current electrical power arrl chapter 3 arrl module 4

What is impedance?

  • Correct Answer
    A measure of the opposition to AC current flow in a circuit
  • The inverse of resistance
  • The Q or Quality Factor of a component
  • The power handling capability of a component

The inverse of resistance is conductance (the measure is the Mho - can you see how this is related to Ohm?). So that's not the answer.

The measure of \(Q\) is something covered on the General and Extra exams - it's too deep for the Technician exam. So that's not the answer.

Power handling capability? Power is measured in Watts, so the power handling capability would be measured in Watts. Components are certainly rated in things like Watts and Volts and even Amps, but none of those things are called impedance. So that's not the answer.

And that leaves "It is a measure of the opposition to AC current flow in a circuit."

Impedance, incidentally, is measured in Ohms.

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Tags: arrl chapter 3 arrl module 5

What is a unit of impedance?

  • Volts
  • Amperes
  • Coulombs
  • Correct Answer
    Ohms

Impedance is actually very similar to resistance in many ways -- which makes sense, since impede and resist are roughly synonymous. Thus it makes sense that they share the same unit -- Ohms.

The main difference between resistance and impedance is that impedance changes with frequency. Inductors pass direct current (frequency of \(0\)) but have a higher impedance the higher the frequency, since inductors tend to resist changes in current. Capacitors have infinite impedance with DC and the higher the frequency the lower the impedance (capacitors resist changes in voltage).

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Tags: arrl chapter 3 arrl module 5

What is the proper abbreviation for megahertz?

  • mHz
  • mhZ
  • Mhz
  • Correct Answer
    MHz

M is the SI abbreviation for mega, indicating millions or \[\times10^6\] Hz is the SI unit abbreviation for Hertz or cycles per second.

Therefore the proper abbreviation for megahertz is...

MHz

Hopefully you will find this easy to remember as you will be seeing it a lot.

Visually, you might also notice that MHz is made up of all straight lines.

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Tags: arrl chapter 2 arrl module 2

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