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(1) [21 pts] The RL circuit shown in Figures 1 and 2 has a switch. You...
(3) The RL circuit shown in Figure 3 has a switch that is closed att 0. Assume that the circuit has reached steady state prior to the switch closing. You are given R1 1 kQ, R2-10 kQ, R3-R4-100 k2, L 10 mH, Vs-5 V. (a) [15 pts] Calculate the steady-state inductor current before the switch is closed (b) [16 pts] Give the differential equation as an expression of the inductor current fort>0 (i.e. write the differential equation) (c) 13 pts]...
A common demonstration of inductance employs a circuit such as
the one shown in the figure (Figure 1) . Switch S is closed, and
the light bulb (represented by resistance R1) just barely glows.
After a period of time, switch S is opened, and the bulb lights up
brightly for a short period of time. To understand this effect,
think of an inductor as a device that imparts an "inertia" to the
current, preventing a discontinuous change in the current...
(1) Consider the RC circuit shown in Figure 1. For t<0 the switch is open, and the charge stored on the capacitor is 0. At t-0 the switch is closed, and the voltage source begins charging the capacitor. Let R1-R2-220 Ω , C-0.47 μ F , Vs-5 V. (a) Write the differential equation as an expression for the capacitor voltage fort> 0 (i.e. write the differential equation) and calculate the time constant (b) Calculate the steady-state capacitor voltage R2 R1...
In the circuit shown in the
figure, the battery is ideal, = 12.6 V, L = 11.3 mH, R1 = 11.1 ?,
and R2 = 20.1 ?. The switch has been open for a long time before it
is closed at t = 0. At what rate is the current in the inductor
changing (a) immediately after the switch is closed and (b) when
the current in the battery is 0.530 A? (c) What is the current (in
A) in...
The Natural Response of an RL Circuit In summary, to find the time constant of an RL circuit, find the Thevenin equivalent resistance se Learning Goal: To analyze an RL circuit to determine the initial current through an inductor, the time constant, and the expression for the natural response of the inductor current, and to use the expression for the inductor current to find other circuit quantities, such as current, voltage, power, or energy. The natural response of an RL...
IP The switch in the circuit shown in the figure(Figure 1) is
open initially.
Part A Find the current in the circuit a long
time after the switch is closed. Express your answer in terms of
some or all of the variables E, R1, R2, and
L.
Part B. Describe the behavior of the lightbulb
from the time the switch is closed until the current reaches the
value found in part A.
Part C. Now, suppose the switch is opened...
Problem 1:(20 points) Consider the RL circuit in Figure 1. You may assume that the switch has been closed long enough for the voltages and currents to reach steady-state values. At timet 0 the switch is opened. 1 0 Rs Ri Figure 1: The switch in the RL circuit is opened at time t 0 1. (6 points) Find the voltage v(0-) and the current i(0) just before the switch is opened. 2. (6 points) Find the voltage v(0+) and...
Two Loop RL Circuit1 A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1 R2-412, R3 70 and R4 64 . The inductance is L-422 mH and the battery voltage is V 24 V. 1) The switch has been open for a long time when at time t 0, the switch is closed. What is 10), the magnitude of the current through the resistor R1 just after...
A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1-R2-76 Ω, R3-105 Ω and R4-810. The inductance is L-478 mH and the battery voltage is V-24 V 1) The switch has been open for a long time when at time t - o, the switch is closed. What is 11(0), the magnitude of the current through the resistor R1 just after the switch is closed? A uIii...