Question

In a US household, the voltage in an electric outlet (in volts) is given by the following equation, where t is in seconds.
V = 156sin(120πt)
However, in a European house, the voltage is given (in the same units) by the following equation.
V = 339sin(100πt)

a. How much greater is the maximum voltage in a European house than a US house?
b.What is the number of cycles (oscillations) per second in a US house?

Answer 1

The function is of the form\[V = V_{max}Sin(2\pi f t)\]#PART (a) For US households,\[V_{max} = 156\]similarly find the maximum voltage for the European households, and find the difference.
#PART(b) The 'f' in the formula of the form of 'V' is called the frequency (number of cycle per second). So arrange the given expression for the US household in this form and find the answer.