7. An electromotive force E(t) = {0 0 ? t < 20, 120 t ? 20 is applied to an LR-series circuit in which the inductance is 20 henries and the resistance is 2 ohms. Find the current as a function of time if the initial current (at t = 0) is 0 . Use the relationship built by Kirchhoff's second law 20 di/dt + 2i = E(t)
Added by Elizabeth J.
Close
Step 1
We have an LR-series circuit with L = 20 H and R = 2 Ω. Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 77 other Calculus 3 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
An electromotive force $$E(t)=\left\{\begin{array}{lr}120, & 0 \leq t \leq 20 \\0, & t>20\end{array}\right.$$\ is applied to an $L R$ -series circuit in which the inductance is 20 henries and the resistance is 2 ohms. Find the current $i(t)$ if $i(0)=0$
Eduard S.
Modeling with First-Order Differential Equations
Linear Models
An electromotive force E(t) = {180, 0 < t < 20; 0, t > 20} is applied to an LR-series circuit in which the inductance is 30 henries and the resistance is 3 ohms. Find the current i(t) if i(0) = 0.
Sri K.
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