R t = 0 V i(t) Vs Figure 9.5 Full Alternative Text
Sinusoids And Phasors
Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.
Circuit Theory
Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low potential level from the opposing high potential level. Electric circuits theory is a linear analysis that helps in establishing a linear relation of voltage and current for R (resistance), L (inductance), and C (capacitance).
The voltage applied to the circuit shown at t=0 is
20 cos(800t+25∘) V. The circuit resistance is 80 Ω and the initial
current in the 75 mH inductor is zero.
1. Find i(t) for t≥0.
2. Write the expressions for the transient and steady-state components
of i(t).
3. Find the numerical value of i after the switch has been closed for
1.875 ms.
4. What are the maximum amplitude, frequency (in radians per
second), and phase angle of the steady-state current?
5. By how many degrees are the voltage and the steady-state current
out of phase?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 5 images
