An alternating current with a frequency of 100HZ has a period of

1. Analyze the question

You are asked to find the period ($T$) of an alternating current given its frequency ($f$).

2. Explain the concept

In physics, the period ($T$) of a wave or an alternating current is defined as the time taken to complete one full cycle. The frequency ($f$) is the number of cycles completed in one second.

The relationship between period and frequency is inverse:

Where:

• $T$ is the period measured in seconds (s).
• $f$ is the frequency measured in Hertz (Hz).

3. Show the solution

Given:

• Frequency ($f$) = $100\text{ Hz}$

Using the formula:

4. Identify the answer

Comparing our result to the given options: A. 0.03sec B. 0.01sec C. 0.04sec D. 0.15sec

The correct option is B.

5. Tip

Whenever you see a question involving frequency and period, just remember the simple rule: "Period is the reciprocal of frequency." If you are given a frequency of 50Hz, the period is $1/50 = 0.02\text{s}$. If you are given a frequency of 100Hz, it is $1/100 = 0.01\text{s}$. This is a very common JAMB question, so keep this relationship at your fingertips!