Household electricity is supplied in the form of alternating current that varies from 155 V to -155 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the equation E(t) = 155 sin(120πt), where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of [E(t)]² over one cycle. (a) Calculate the RMS voltage of household current. RMS voltage =
Household electricity is supplied in the form of alternating current that varies from 155 V to -155 V with a frequency of 60 cycles per second (Hz). The voltage is thus given by the equation E(t) = 155 sin(120πt), where t is the time in seconds. Voltmeters read the RMS (root-mean-square) voltage, which is the square root of the average value of [E(t)]² over one cycle. (a) Calculate the RMS voltage of household current. RMS voltage =
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
Related questions
Question
![Household electricity is supplied in the form of
alternating current that varies from 155 V to -155
V with a frequency of 60 cycles per second (Hz).
The voltage is thus given by the equation
E(t) = 155 sin(120πt),
where t is the time in seconds. Voltmeters read
the RMS (root-mean-square) voltage, which is the
square root of the average value of [E(t)]² over
one cycle.
(a) Calculate the RMS voltage of household
current.
RMS voltage =
(b) Many electric stoves require an RMS voltage
of 220 V. Find the corresponding amplitude A
needed for the voltage E(t) = A sin(120πt).
{\it A} =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5bf4ba0-b032-4556-ac45-0f5d16670fd8%2F34d20565-32c3-4adf-8619-dbe77bdb5379%2Fwpyplf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Household electricity is supplied in the form of
alternating current that varies from 155 V to -155
V with a frequency of 60 cycles per second (Hz).
The voltage is thus given by the equation
E(t) = 155 sin(120πt),
where t is the time in seconds. Voltmeters read
the RMS (root-mean-square) voltage, which is the
square root of the average value of [E(t)]² over
one cycle.
(a) Calculate the RMS voltage of household
current.
RMS voltage =
(b) Many electric stoves require an RMS voltage
of 220 V. Find the corresponding amplitude A
needed for the voltage E(t) = A sin(120πt).
{\it A} =
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
