7.14 The switch in the circuit in Fig. P7.14 has been closed for a long time before opening at $t = 0$. Find $v_o(t)$ for $t = 0^+$. Figure P7.14
Added by Vincent M.
Close
Step 1
Since the switch has been closed for a long time before opening at t = 0, we can assume that the circuit has reached a steady state. Therefore, the initial conditions are: - The current through the inductor (IL) is zero. - The voltage across the inductor (VL) is Show more…
Show all steps
Your feedback will help us improve your experience
Ameer Said and 93 other Physics 102 Electricity and Magnetism 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
Solve the following differential equation. y'' - y' + 2y = 0 The circuit shown in Figure 1 contains an electromotive force (supplied by a battery or generator), a resistor R, an inductor L, and a capacitor C, in series. Figure 1: An electrical circuit in series A differential equation for the charge, Q(t) can be represented by the following differential equation: L * d^2Q / dt^2 + R * dQ / dt + 1/C * Q = E(t). By using an appropriate method, find the charge at time t in the circuit of Figure 1 if R = 30 ohm, L = 1 H, C = 25 x 10^-4 F, E(t) = 150 sin 2t, and the initial charge and current are both zero.
Adi S.
Differential Equation Application. A series RLC circuit has R = 40 ohms, L = 100mH and C = 50 microfarad. The circuit is connected across a 100 V dc source at t = 0 through a switch. Determine the current 0.02 second after the switch is closed. Assume all initial condition to be zero. Ans.: 45.3 mA
Sri K.
9-53 The switch in Figure P9-53 has been open for a long time and is closed at t=0. The circuit parameters are R=50Ω, L=250 mH, C=0.5 μF, and VA=1000 V. (a) Find the circuit differential equation in iL(t) and the initial conditions iL(0) and vC(0). (b) Use Laplace transforms to solve for iL(t) for t ≥ 0.
Madhur L.
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Watch the video solution with this free unlock.
EMAIL
PASSWORD