In a US household the voltage in an electric outlet in volts

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(120 pi t) However, in a European house, the voltage is given (in the same units) by the following equation. V = 339sin(100 pi t) Answer the following questions comparing the voltages in the two regions. How much greater is the maximum voltage in a European house than a US house? ________ volts What is the number of cycles (oscillations) per second in a US house? ________ cycles/second

Solution

Solution:

The sine function has a maximum value of 1 so

The american household has a maximum voltage of 156 volts
The European household has a maximum voltage of 339 volts

(a) the difference is the answer

= 339 - 156 = 183 volts

(b) no of cycles per second = 120 Pi / 2*pi = 60 cycles/second