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Subelement T5
ELECTRICAL PRINCIPLES
Section T5D
Ohm’s Law; Series and parallel circuits
What formula is used to calculate current in a circuit?
  • I = E × R
  • Correct Answer
    I = E / R
  • I = E + R
  • I = E - R

Ohms law involves 3 variables - Voltage (\(E\), for Electromotive force) Resistance (\(R\)), and Current (\(I\)). In a recent webcast, Gordon West suggested a simple method for remembering their order. He suggests that you think of \(E\) as an Eagle, \(I\) as an Igloo, and \(R\) as a Rabbit.

Any time \(E\) is on the left side, \(I\) and \(R\) are on the right side; the Igloo and the Rabbit are both on the ground, so they go next to each other (multiplication, or \(E=I\times R\)). If \(E\) is on the right side, then the Eagle is always on top (in the air). So Resistance is \(\frac{E}{I}\), because the Eagle is always above the Igloo. Current (\(I\)) is \(\frac{E}{R}\), because the eagle is always above the Rabbit. (Remember that \(\frac{E}{R}\) means \(E\) divided by \(R\))

This might help you remember the formulae for Ohms Law.

Last edited by kd7bbc. Register to edit

Tags: ohm's law electrical current electromotive force (voltage) resistance arrl chapter 3 arrl module 4

What formula is used to calculate voltage in a circuit?
  • Correct Answer
    E = I × R
  • E = I / R
  • E = I + R
  • E = I - R

Ohms law involves 3 variables - Voltage (\(E\), for Electromotive force) Resistance (\(R\)), and Current (\(I\)). In a recent webcast, Gordon West suggested a simple method for remembering their order. He suggests that you think of \(E\) as an Eagle, \(I\) as an Igloo, and \(R\) as a Rabbit.

Any time \(E\) is on the left side, \(I\) and \(R\) are on the right side; the Igloo and the Rabbit are both on the ground, so they go next to each other (multiplication, or \(E=I\times R\)). If \(E\) is on the right side, then the Eagle is always on top (in the air). So Resistance is \(\frac{E}{I}\), because the Eagle is always above the Igloo. Current (\(I\)) is \(\frac{E}{R}\), because the eagle is always above the Rabbit. (Remember that \(\frac{E}{R}\) means \(E\) divided by \(R\))

This might help you remember the formulae for Ohms Law.

Last edited by kd7bbc. Register to edit

Tags: ohm's law electrical current electromotive force (voltage) resistance arrl chapter 3 arrl module 4

What formula is used to calculate resistance in a circuit?
  • R = E × I
  • Correct Answer
    R = E / I
  • R = E + I
  • R = E - I

Ohms law involves 3 variables - Voltage (\(E\), for Electromotive force) Resistance (\(R\)), and Current (\(I\)). In a recent webcast, Gordon West suggested a simple method for remembering their order. He suggests that you think of \(E\) as an Eagle, \(I\) as an Igloo, and \(R\) as a Rabbit.

Any time \(E\) is on the left side, \(I\) and \(R\) are on the right side; the Igloo and the Rabbit are both on the ground, so they go next to each other (multiplication, or \(E=I\times R\)). If \(E\) is on the right side, then the Eagle is always on top (in the air). So Resistance is \(\frac{E}{I}\), because the Eagle is always above the Igloo. Current (\(I\)) is \(\frac{E}{R}\), because the eagle is always above the Rabbit. (Remember that \(\frac{E}{R}\) means \(E\) divided by \(R\))

This might help you remember the formulae for Ohms Law.

Last edited by kd7bbc. Register to edit

Tags: ohm's law resistance electromotive force (voltage) electrical current arrl chapter 3 arrl module 4

What is the resistance of a circuit in which a current of 3 amperes flows when connected to 90 volts?
  • 3 ohms
  • Correct Answer
    30 ohms
  • 93 ohms
  • 270 ohms

Ohms law involves 3 variables - Voltage (\(E\), for Electromotive force) Resistance (\(R\)), and Current (\(I\)). In a recent webcast, Gordon West suggested a simple method for remembering their order. He suggests that you think of \(E\) as an Eagle, \(I\) as an Igloo, and \(R\) as a Rabbit.

Any time \(E\) is on the left side, \(I\) and \(R\) are on the right side; the Igloo and the Rabbit are both on the ground, so they go next to each other (multiplication, or \(E=I\times R\)). If \(E\) is on the right side, then the Eagle is always on top (in the air). So Resistance is \(\frac{E}{I}\), because the Eagle is always above the Igloo. Current (\(I\)) is \(\frac{E}{R}\), because the eagle is always above the Rabbit. (Remember that \(\frac{E}{R}\) means \(E\) divided by \(R\))

This might help you remember the formulae for Ohms Law.

Last edited by kd7bbc. Register to edit

Tags: math ohm's law resistance electrical current electromotive force (voltage) arrl chapter 3 arrl module 4

What is the resistance of a circuit for which the applied voltage is 12 volts and the current flow is 1.5 amperes?
  • 18 ohms
  • 0.125 ohms
  • Correct Answer
    8 ohms
  • 13.5 ohms

\(E = I \times R\)

\(R = \frac{E}{I}\) \(=\) \(\frac{12}{1.5}\) = \(8\) ohms

See Ohm's Law on Wikipedia

Last edited by kd7bbc. Register to edit

Tags: math ohm's law resistance electromotive force (voltage) electrical current arrl chapter 3 arrl module 4

What is the resistance of a circuit that draws 4 amperes from a 12-volt source?
  • Correct Answer
    3 ohms
  • 16 ohms
  • 48 ohms
  • 8 ohms

\(E = I \times R\)

\(R = \frac{E}{I}\) \(=\) \(\frac{12}{4}\) \(=\) \(3\) ohms

See Ohm's Law on Wikipedia

Last edited by kd7bbc. Register to edit

Tags: ohm's law math electromotive force (voltage) resistance arrl chapter 3 arrl module 4

What is the current in a circuit with an applied voltage of 120 volts and a resistance of 80 ohms?
  • 9600 amperes
  • 200 amperes
  • 0.667 amperes
  • Correct Answer
    1.5 amperes

\(E = I \times R\)

\(I = \frac{E}{R} = \frac{120}{80} = 1.5 \text{ amperes}\)

See Ohm's Law on Wikipedia

  • E = Electromotive force (Volts)
  • I = Intensity (Amperes)
  • R = Resistance (Ohms)

Last edited by kd7bbc. Register to edit

Tags: math ohm's law electromotive force (voltage) resistance electrical current arrl chapter 3 arrl module 4

What is the current through a 100-ohm resistor connected across 200 volts?
  • 20,000 amperes
  • 0.5 amperes
  • Correct Answer
    2 amperes
  • 100 amperes

Voltage = Current \(\times\) Resistance

Which we can write as: \[E = I \times R\]

Where:

  • \(E\) is the voltage applied to the circuit, in volts (V)
  • \(I\) is the current flowing in the circuit, in amperes (A)
  • \(R\) is the resistance in the circuit, in ohms (\(\Omega\))

In this case we have voltage and resistance and need to find current, so rearrange the equation: \begin{align} E &= I \times R\\ I &= \frac{E}{R}\\ \end{align}

Time to plug and chug! \begin{align} I &= \frac{200 \text{ V}}{100\ \Omega}\\ I &= 2 \text{ A}\\ \end{align}


See Ohm's Law on Wikipedia

Last edited by qubit. Register to edit

Tags: ohm's law electrical current math resistance electromotive force (voltage) arrl chapter 3 arrl module 4

What is the current through a 24-ohm resistor connected across 240 volts?
  • 24,000 amperes
  • 0.1 amperes
  • Correct Answer
    10 amperes
  • 216 amperes

\(E = I \times R\)

\(I = \frac{E}{R} = \frac{240}{24} = 10\) amperes

See Ohm's Law on Wikipedia

Last edited by kd7bbc. Register to edit

Tags: ohm's law math electrical current electromotive force (voltage) resistance arrl chapter 3 arrl module 4

What is the voltage across a 2-ohm resistor if a current of 0.5 amperes flows through it?
  • Correct Answer
    1 volt
  • 0.25 volts
  • 2.5 volts
  • 1.5 volts

This is an Ohm's law question. Remember

\(E = I \times R\)

\(E = 0.5 \text{ A} \times 2\ \Omega = 1 \text{ V}\)

See Ohm's Law on Wikipedia

Last edited by qubit. Register to edit

Tags: ohm's law math electrical current electromotive force (voltage) resistance arrl chapter 3 arrl module 4

What is the voltage across a 10-ohm resistor if a current of 1 ampere flows through it?
  • 1 volt
  • Correct Answer
    10 volts
  • 11 volts
  • 9 volts

Ohm's Law is the relationship between voltage, current, and the resistance in a DC circuit. It can be represented in the equation:

\(E = I \times R\)

Where \(E\) is the voltage/electromotive force (\(E\)), \(I\) is the current (\(A\)), and \(R\) is the resistance (Ω).

If you have any two values in the equation you can find the third:

  • \(E = I \times R\)
  • \(R = \frac{E}{I}\) (obtained by dividing both sides by I)
  • \(I = \frac{E}{R}\) (obtained by dividing both sides by R)

So for our equation:

  • \(E = ?\)
  • \(I = 1A\)
  • \(R = 10Ω\)

\(E = I \times R = 10Ω \times 1A = 10V\)

Last edited by kd7bbc. Register to edit

Tags: ohm's law math electrical current electromotive force (voltage) resistance arrl chapter 3 arrl module 4

What is the voltage across a 10-ohm resistor if a current of 2 amperes flows through it?
  • 8 volts
  • 0.2 volts
  • 12 volts
  • Correct Answer
    20 volts

\(E = I \times R = 2 \times 10 = 20\) volts

Last edited by kd7bbc. Register to edit

Tags: ohm's law math electrical current electromotive force (voltage) resistance arrl chapter 3 arrl module 4

In which type of circuit is DC current the same through all components?
  • Correct Answer
    Series
  • Parallel
  • Resonant
  • Branch

Series is correct. In series current is the same through all components.

In the animation below, the amount of voltage is indicated by the darkness of the green, and the current is represented by the "walking ant" animation.

Series Current and Voltage

The voltage is not the same everywhere in this series but the current is!

Easy way to remember the difference between series and parallel, is parallel is like train tracks they run side by side. Series is like a movie series, one episode after another.

Hint: "If Current is the Same in all components" It is Series.

Last edited by z1dragonfly. Register to edit

Tags: arrl chapter 3 arrl module 3

In which type of circuit is voltage the same across all components?
  • Series
  • Correct Answer
    Parallel
  • Resonant
  • Branch

In the animation below, the amount of voltage is indicated by the darkness of the green, and the current is represented by the "walking ant" animation.

Voltage and Current in Parallel

Notice the green is the same across all components. There is full source voltage on one side and no voltage on the other, but voltage is the same across all components because they're in parallel.

Last edited by rjstone. Register to edit

Tags: arrl chapter 3 arrl module 3

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