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An RL circuit is modeled by + 21 = 4. Find the general solution for the...
The Natural Response of an RL Circuit In summary, to find the time constant of an...
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...
Solution to Practice Test Problem 7.10(Simple RL Decay Problem) Problem: A 0.02H inductor carries a current...
Solution to Practice Test Problem 7.10(Simple RL Decay Problem) Problem: A 0.02H inductor carries a current of 3A at time t = 0. The inductor discharges through a 312 resistor. Compute the time it takes the current to decay to 1A. Select One of the Following: (a) 0.0027s (b) 0.06 (c-Answer) 0.00738 (d) 0.00675 Solution For a discharging RL circuit, 1A = 3Ae- Total Points for Problem: 3 Points
(1) The general solution to the equation Mark your answer and record it in the TABLE...
(1) The general solution to the equation Mark your answer and record it in the TABLE in page 2 du = 3xt is given by: OA r = Cette OB ra OC 1 = Ce! OD r=C3 (2) The general solution to the equation - 4y= 0 is: Mark your answer and record it in the TABLE in page 2 OA y(t) = 62° + C -2 OB y(t) = Cell + C 4 Ocyt) = cos 4t + C,...
Problem 1: /10 A) For the RL circuit of Figure 1, the switch is closed at...
Problem 1: /10 A) For the RL circuit of Figure 1, the switch is closed at t=0 (charging phase). Report the time constant of the circuit T1 , voltage V, and current i, at time t = t1/2 23 82H £292 3v 20 20 Fig. 1: EMILM B) At time t = t;/2 , the switch in the RL circuit of Figure 1 is opened (discharging phase); Report the time constant of the circuit ta , voltage V, and current...
Use the elimination method to find a general solution for the given linear system, where differentiation...
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t * = 4x - 5y oy = 5x + 4y Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C, "cos 5t+C2 et sin 5t OB. y(t) = C, e " + Cate OC. y(t) = C, e - 4 cos 5t+Cze-4 sin 5t OD. y(t) = C, -4+ Cyte...
5. (4) Consider an RL circuit that can initially be thought of as containing an ideal...
5. (4) Consider an RL circuit that can initially be thought of as containing an ideal battery of voltage 2.10 V, an ideal resistor of resistance 910 Ω and an ideal inductor of inductance 77.50 mH. (a) Another ideal inductor, of inductance 125.0 mH, is added in series. Find the new equivalent inductance and the new time constant for the circuit. (b) The circuit is closed at t=0. Sketch the behaviour of the voltage across the resistor and the voltage...
Problem 1:(20 points) Consider the RL circuit in Figure 1. You may assume that the switch...
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...
As shown in the figure, a simple RL circuit (L = 1H) is powered by a...
As shown in the figure, a simple RL circuit (L = 1H) is powered by a 10 V batterey. The initial current in the circuit is zero. (el-0.367 -0.135, -0.049, e---0.018, e'-0.006) R t-0)0 time (sec) Vc (Volt) MW 6.33 8.65 9.51 9.82 9.94 3 4 5 6 7 8 sec.) a) Calculate the time constant of the RL circuit using the graph given above. O b) Calculate VR(t) the voltage across the resistor R. as a function of time....
+ c2e6t The general solution to x = (1-4) -4 4 -1 -8 X can be...
+ c2e6t The general solution to x = (1-4) -4 4 -1 -8 X can be given by OA Cie-6t 2 -1 + cze6t O4 -6t Се [-( )+(:)] ( 21 ) +c8e-4 [-(-2) + (:)] [*( )+()] (-1) [:( 21 ) +()] OL -6t Cle-6t 2 -1 ( ) + cze -6t Ce 6t + cze 2 2 O Cie-6t t +
GOAL Calculate a time constant and relate it to current in an RL circuit. PROBLEM A...
GOAL Calculate a time constant and relate it to
current in an RL circuit.
PROBLEM A 12.6-V battery is in a circuit with a
30.0-mH inductor and a 0.150-? resistor. The switch is closed at
t = 0. (a) Find the time constant of the
circuit. (b) Find the current after one time
constant has elapsed. (c) Find the voltage drops
across the resistor when t = 0 and t = one time
constant. (d) What's the rate of change...
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...
Solution to Practice Test Problem 7.10(Simple RL Decay Problem) Problem: A 0.02H inductor carries a current of 3A at time t = 0. The inductor discharges through a 312 resistor. Compute the time it takes the current to decay to 1A. Select One of the Following: (a) 0.0027s (b) 0.06 (c-Answer) 0.00738 (d) 0.00675 Solution For a discharging RL circuit, 1A = 3Ae- Total Points for Problem: 3 Points
(1) The general solution to the equation Mark your answer and record it in the TABLE in page 2 du = 3xt is given by: OA r = Cette OB ra OC 1 = Ce! OD r=C3 (2) The general solution to the equation - 4y= 0 is: Mark your answer and record it in the TABLE in page 2 OA y(t) = 62° + C -2 OB y(t) = Cell + C 4 Ocyt) = cos 4t + C,...
Problem 1: /10 A) For the RL circuit of Figure 1, the switch is closed at t=0 (charging phase). Report the time constant of the circuit T1 , voltage V, and current i, at time t = t1/2 23 82H £292 3v 20 20 Fig. 1: EMILM B) At time t = t;/2 , the switch in the RL circuit of Figure 1 is opened (discharging phase); Report the time constant of the circuit ta , voltage V, and current...
Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t * = 4x - 5y oy = 5x + 4y Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C, "cos 5t+C2 et sin 5t OB. y(t) = C, e " + Cate OC. y(t) = C, e - 4 cos 5t+Cze-4 sin 5t OD. y(t) = C, -4+ Cyte...
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...
As shown in the figure, a simple RL circuit (L = 1H) is powered by a 10 V batterey. The initial current in the circuit is zero. (el-0.367 -0.135, -0.049, e---0.018, e'-0.006) R t-0)0 time (sec) Vc (Volt) MW 6.33 8.65 9.51 9.82 9.94 3 4 5 6 7 8 sec.) a) Calculate the time constant of the RL circuit using the graph given above. O b) Calculate VR(t) the voltage across the resistor R. as a function of time....
+ c2e6t The general solution to x = (1-4) -4 4 -1 -8 X can be given by OA Cie-6t 2 -1 + cze6t O4 -6t Се [-( )+(:)] ( 21 ) +c8e-4 [-(-2) + (:)] [*( )+()] (-1) [:( 21 ) +()] OL -6t Cle-6t 2 -1 ( ) + cze -6t Ce 6t + cze 2 2 O Cie-6t t +
GOAL Calculate a time constant and relate it to
current in an RL circuit.
PROBLEM A 12.6-V battery is in a circuit with a
30.0-mH inductor and a 0.150-? resistor. The switch is closed at
t = 0. (a) Find the time constant of the
circuit. (b) Find the current after one time
constant has elapsed. (c) Find the voltage drops
across the resistor when t = 0 and t = one time
constant. (d) What's the rate of change...
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