Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical 115-volt outlet can be expressed by the function V(t) = 163 sin wt, where w is the angular speed (in radians per second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec. Complete parts (a) and (b). (a) How many times does the current oscillate in 0.25 sec? 15 time(s) (b) What are the maximum and minimum voltages in this outlet? Is the voltage always equal to 115 volts? The maximum voltage is V and the minimum voltage is V.

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Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical 115-volt outlet can
be expressed by the function V(t) = 163 sin wt, where w is the angular speed (in radians per second) of the rotating generator at the electrical plant and t is the time
measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec. Complete parts (a) and (b).
(a) How many times does the current oscillate in 0.25 sec?
15 time(s)
(b) What are the maximum and minimum voltages in this outlet? Is the voltage always equal to 115 volts?
The maximum voltage is
V and the minimum voltage is
V.
Transcribed Image Text:Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical 115-volt outlet can be expressed by the function V(t) = 163 sin wt, where w is the angular speed (in radians per second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec. Complete parts (a) and (b). (a) How many times does the current oscillate in 0.25 sec? 15 time(s) (b) What are the maximum and minimum voltages in this outlet? Is the voltage always equal to 115 volts? The maximum voltage is V and the minimum voltage is V.
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