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)
Answer the following questions comparing the voltages in the two regions.

(a) How much greater is the maximum voltage in a European house than a US house?
__________volts

(b) What is the number of cycles (oscillations) per second in a US house?

_________cycles/second

Answer 1

Didn't we do this before?

Answer 2

It didnt get explained though!

Answer 3

What is the greatest value of sine?

Answer 4

1

Answer 5

So, what are the greatest voltages in either case?

Answer 6

156(1)
and
339(1)

Answer 7

156 and 339?

Answer 8

Yep. It's that easy. Now for the cyclical frequency. There are 2*pi Hz in a revolution there. So in the USA, if the cyclical frequency is 120(pi), what are the Hz?

(120pi / 2pi)

Answer 9

60

Answer 10

Yep, 60Hz (or 60 oscillations/sec)

Answer 11

Thanks man!

Answer 12

Np.