Alternating current is called so because the electrons carried by the current move back & forth creating a wave. Alternating direction. Depending on where you are in the world, the number of times per second this wave occurs varies. Each wave, or cycle, back & forth is called a Hertz (Hz).

In New Zealand, our electrical current normally operates at 50Hz.

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Correct answer: 0.01 second

The time for one cycle is the period \(T\), which is related to frequency by:

\[ T = \frac{1}{f} \]

Given:

• \(f = 100\ \mathrm{Hz}\)

Substituting:

\[ T = \frac{1}{100} = 0.01\ \mathrm{s} \]

• 1 second corresponds to 1 Hz.
• 0.0001 second corresponds to 10,000 Hz.
• 10 seconds corresponds to 0.1 Hz.

Therefore, the time for one cycle is 0.01 second.

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Correct answer: 10 Hz

Frequency is the number of cycles completed per second:

\[ f = \frac{1}{T} \]

where \(T\) is the time for one cycle.

Given:

• \(T = 0.1\ \mathrm{s}\)

Substituting:

\[ f = \frac{1}{0.1} = 10\ \mathrm{Hz} \]

• 1 Hz would require a period of 1 second.
• 100 Hz would require a period of 0.01 second.
• 1000 Hz would require a period of 0.001 second.

Therefore, the frequency is 10 Hz.

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