Chapter 15, Problem 15.1CYU

Check Your Understanding If a European ac voltage source is considered, what is the time difference between the zero crossings on an ac voltage-versus-time graph?

To determine

The time difference between the zero crossings of an ac voltage versus time graph for an European voltage source.

Answer to Problem 15.1CYU

The time between two zero crossing is $8.34\times {10}^{-3}\text{s}$.

Explanation of Solution

Formula Used:

The relation between the time period and frequency is,

  $T=\frac{1}{f}$

The expression for the time period between two zero crossing is.

  $t=\frac{T}{2}$

Calculation:

The European frequency is $60\text{Hz}$.

The value of the time period of an European voltage source is calculated as,\

  $\begin{array}{c}T=\frac{1}{60\text{ Hz}}\\ =0.017\text{s}\end{array}$

The value of the time between two zero crossing is calculated as,

  $\begin{array}{c}t=\frac{0.017\text{s}}{2}\\ =8.34\times {10}^{-3}\text{s}\end{array}$

Conclusion:

The time between two zero crossing of an European voltage source is $8.34\times {10}^{-3}\text{s}$.