Peak alternating current Suppose that at any given time $t$ (in seconds) the current $i$ (in amperes) in an alternating current circuit is $i=2 \cos t+2 \sin t .$ What is the peak current for this circuit (largest magnitude)?
Added by Hector N.
Step 1
First, we can rewrite the given equation as $i = 2\sqrt{2}(\frac{1}{\sqrt{2}}\cos t + \frac{1}{\sqrt{2}}\sin t)$. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 91 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Suppose that at any given time $t$ (in seconds) the current $i$ (in amperes) in an alternating current circuit is $i=2 \cos t+2 \sin t .$ What is the peak current for this circuit (largest magnitude)?
Applications of Derivatives
Extreme Values of Functions
Suppose that at any given time t (in seconds) the current i(t) in an alternating current circuit is i(t) = 6cos(t) + 2sin(t). What is the peak current for this circuit (largest magnitude)? Leave your answer exact.
Vishal P.
Suppose that at any given time t (in seconds) the current i (in amperes) in an alternating current circuit is i = 9 cos t + 9 sin t. What is the peak current for this circuit (largest magnitude)?
Keerti J.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD