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Subelement T5

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

Section T5D

Ohm's Law: formulas and usage; components in series and parallel

What formula is used to calculate current in a circuit?

  • Current (I) equals voltage (E) multiplied by resistance (R)
  • Correct Answer
    Current (I) equals voltage (E) divided by resistance (R)
  • Current (I) equals voltage (E) added to resistance (R)
  • Current (I) equals voltage (E) minus resistance (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
    Voltage (E) equals current (I) multiplied by resistance (R)
  • Voltage (E) equals current (I) divided by resistance (R)
  • Voltage (E) equals current (I) added to resistance (R)
  • Voltage (E) equals current (I) minus resistance (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?

  • Resistance (R) equals voltage (E) multiplied by current (I)
  • Correct Answer
    Resistance (R) equals voltage (E) divided by current (I)
  • Resistance (R) equals voltage (E) added to current (I)
  • Resistance (R) equals voltage (E) minus current (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 through a resistor 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 in 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)

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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

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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

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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

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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:

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

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

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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

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

What happens to current at the junction of two components in series?

  • It divides equally between them
  • Correct Answer
    It is unchanged
  • It divides based on the on the value of the components
  • The current in the second component is zero

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 current is determined by the total resistance through the whole series so the current at the junction is unchanged as can be seen from the fact that all three test points show 10mA, and the dots move at the same speed through the whole series.

HINT

Current at junction in series unchanged.

(Current at junction in parallel depends.)

Voltage across two components in series depends.

(Voltage across two components in parallel is the same.)

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Tags: arrl chapter 3 arrl module 3

What happens to current at the junction of two components in parallel?

  • Correct Answer
    It divides between them dependent on the value of the components
  • It is the same in both components
  • Its value doubles
  • Its value is halved

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.

Animation of Current in Parallel

Notice that across the components in parallel the current (85mA) is divided between the components based on the value of the components.

In this case the components are resistors and their values are resistance in ohms. The dots are moving faster through the \(100 \Omega\) resistor than they are through the \(500\Omega\) resistor. The speed of the dots indicates the amount of current, indicating less current through the higher value resistors.

HINT

Current at junction in series unchanged.

(Current at junction in parallel depends.)

Voltage across two components in series depends.

(Voltage across two components in parallel is the same.)

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Tags: arrl chapter 3 arrl module 3

What is the voltage across each of two components in series with a voltage source?

  • The same voltage as the source
  • Half the source voltage
  • Correct Answer
    It is determined by the type and value of the components
  • Twice the source voltage

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 current in the series doesn't change, but the voltage across each of the two components does change. So it is determined by the type and value of the components, in this case the resistance of the resistors.

There are many similar questions regarding current vs voltage using circuits in series or in parallel.

HINT

Current at junction in series unchanged.

(Current at junction in parallel depends.)

Voltage across two components in series depends.

(Voltage across two components in parallel is the same.)

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Tags: arrl chapter 3 arrl module 3

What is the voltage across each of two components in parallel with a voltage source?

  • It is determined by the type and value of the components
  • Half the source voltage
  • Twice the source voltage
  • Correct Answer
    The same voltage as the source

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.

Animation of Voltage in Parallel

Notice that across the components in parallel the voltage (5V) is the same as the voltage source.. The values of the resistors have no effect.

HINT

Current at junction in series unchanged.

(Current at junction in parallel depends.)

Voltage across two components in series depends.

(Voltage across two components in parallel is the same.)

Last edited by mike881. Register to edit

Tags: arrl chapter 3 arrl module 3

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