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9) Consider an RL circuit. a) Use the initial conditions that were discussed in class to...
Question 1 1.1. Derive a differential equation describing an RL circuit (see below). The initial condition...
Question 1 1.1. Derive a differential equation describing an RL circuit (see below). The initial condition is Vo 0 1.2. Solve the equation for a function input Vin-4, (t) 1.3. Solve the equation for Vn -V sin (at in out
ON CAPAC Transient RL Circuit Consider the circuit shown in the figure. The resistance of the...
ON CAPAC Transient RL Circuit Consider the circuit shown in the figure. The resistance of the wire used to make the inductor is negligible compared to the resistors in the circuit. V-140 V, R; -10.Ohms, Ry - 1100 Ohms, and L-200 H RI WWW For this part, assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find (1) the battery current, (2) the current in resistor Ry, and (3) the...
1. (a) Consider the LC circuit discussed in class, comprised of one inductor and one capacitor in a loop. There are no...
1. (a) Consider the LC circuit discussed in class, comprised of one inductor and one capacitor in a loop. There are no external sources, and the circuit is driven by its initial conditions. Prove that the energy stored in the circuit is a constant. (b) Now add a resistor in series with the inductor and capacitor. Prove that the energy in the circuit goes to 0 at t -+ oo.
1. (a) Consider the LC circuit discussed in class, comprised...
9. In a linear first-order RL circuit, the responses of the inductor current to initial conditions,...
9. In a linear first-order RL circuit, the responses of the inductor current to initial conditions, a voltage source, and a current source are, Initial conditions: -e2 Voltage source Current source: 0.5-0.5e 2-2e If the voltage source excitation is increased by a factor of four, and the initial inductor current is changed from-1 A to-3 A, find the total response of the inductor current. a. (4-7e)A b. (2.5-3.5e)A d. (0.5-9eA e. (2-7e) A
9. Consider the RL circuit given in the figure. The switch is opened at time t...
9. Consider the RL circuit given in the figure. The switch is opened at time t = 0 after it had been closed for a long time. a) How long will it take for the current in the inductor to drop to 25% of its initial value? b) How long will it take for the energy in the inductor to drop to 25% of its initial value? Switch 200 unit of L my i 3150 80.5H BS 12 V
A series RC circuit has a 12 volt battery connected in series to a resistor with...
A series RC circuit has a 12 volt battery connected in series to a resistor with resistance 1 ?? and a capacitor wi capacitor. The switch is thrown at t-0 seconds. a) Write the differential equation for the circuit. b) Solve the equation for the charge q() and the current io). 8. th capacitance 1 pF. There is an initial charge of 10 nC on the
need help with this question 10) Consider once again RL circuit shown in Figure, with switch...
need help with this question
10) Consider once again RL circuit shown in Figure, with switch S2 at position a and the current having reached its steady-state value. When S2 is thrown to position b, the current in the right-hand loop decays exponentially with time according to the expression / = 1e- where I= E/R is the initial current in the circuit and T L/R is the time constant. Show that all the energy initially stored in the magnetic field...
Do both A dc source is connected to a series RLC circuit by a switch that...
Do
both
A dc source is connected to a series RLC circuit by a switch that closes at t-0, as shown in Figure 1. The initial conditions i(0")-0 and vo(0)-0. Write the differential equation for Ve(t). Solve for ve(t), if R-80ohm. 2. 1=0 2 mH i(t) 叱-(0) = 0 i(0)-0 Figure 1 3. Repeat problem 2 for R-400hm and 20ohm.
(1) [21 pts] The RL circuit shown in Figures 1 and 2 has a switch. You...
(1) [21 pts] The RL circuit shown in Figures 1 and 2 has a switch. You are given I1 =10 mA, R1=R2=1 ks2, and L=10 mH. (a) [3 pts] Using Figure 1, with an open switch, calculate the steady state current through the inductor. (b) [12 pts) Using Figure 2, with a closed switch, derive the differential equation as an expression of the inductor current. (c) [2 pts] Using your answer to Part (b), calculate the time constant. (d) [4...
electromagnetic 1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary...
electromagnetic
1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary differential equation (ODE) describing the charge vs. time function (1) for a capacitor in the discharging RC circuit shown below. Assume that at time t = 0 (right before the switch is closed) the voltage across the capacitor is V = V.. R R с V(t) С t=0 t>O Fig. 1. Fully charged RC circuit Fig. 2. Discharging RC Circuit (b) Solve the ODE...
Question 1 1.1. Derive a differential equation describing an RL circuit (see below). The initial condition is Vo 0 1.2. Solve the equation for a function input Vin-4, (t) 1.3. Solve the equation for Vn -V sin (at in out
ON CAPAC Transient RL Circuit Consider the circuit shown in the figure. The resistance of the wire used to make the inductor is negligible compared to the resistors in the circuit. V-140 V, R; -10.Ohms, Ry - 1100 Ohms, and L-200 H RI WWW For this part, assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find (1) the battery current, (2) the current in resistor Ry, and (3) the...
1. (a) Consider the LC circuit discussed in class, comprised of one inductor and one capacitor in a loop. There are no external sources, and the circuit is driven by its initial conditions. Prove that the energy stored in the circuit is a constant. (b) Now add a resistor in series with the inductor and capacitor. Prove that the energy in the circuit goes to 0 at t -+ oo.
1. (a) Consider the LC circuit discussed in class, comprised...
9. In a linear first-order RL circuit, the responses of the inductor current to initial conditions, a voltage source, and a current source are, Initial conditions: -e2 Voltage source Current source: 0.5-0.5e 2-2e If the voltage source excitation is increased by a factor of four, and the initial inductor current is changed from-1 A to-3 A, find the total response of the inductor current. a. (4-7e)A b. (2.5-3.5e)A d. (0.5-9eA e. (2-7e) A
9. Consider the RL circuit given in the figure. The switch is opened at time t = 0 after it had been closed for a long time. a) How long will it take for the current in the inductor to drop to 25% of its initial value? b) How long will it take for the energy in the inductor to drop to 25% of its initial value? Switch 200 unit of L my i 3150 80.5H BS 12 V
A series RC circuit has a 12 volt battery connected in series to a resistor with resistance 1 ?? and a capacitor wi capacitor. The switch is thrown at t-0 seconds. a) Write the differential equation for the circuit. b) Solve the equation for the charge q() and the current io). 8. th capacitance 1 pF. There is an initial charge of 10 nC on the
need help with this question
10) Consider once again RL circuit shown in Figure, with switch S2 at position a and the current having reached its steady-state value. When S2 is thrown to position b, the current in the right-hand loop decays exponentially with time according to the expression / = 1e- where I= E/R is the initial current in the circuit and T L/R is the time constant. Show that all the energy initially stored in the magnetic field...
Do
both
A dc source is connected to a series RLC circuit by a switch that closes at t-0, as shown in Figure 1. The initial conditions i(0")-0 and vo(0)-0. Write the differential equation for Ve(t). Solve for ve(t), if R-80ohm. 2. 1=0 2 mH i(t) 叱-(0) = 0 i(0)-0 Figure 1 3. Repeat problem 2 for R-400hm and 20ohm.
(1) [21 pts] The RL circuit shown in Figures 1 and 2 has a switch. You are given I1 =10 mA, R1=R2=1 ks2, and L=10 mH. (a) [3 pts] Using Figure 1, with an open switch, calculate the steady state current through the inductor. (b) [12 pts) Using Figure 2, with a closed switch, derive the differential equation as an expression of the inductor current. (c) [2 pts] Using your answer to Part (b), calculate the time constant. (d) [4...
electromagnetic
1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary differential equation (ODE) describing the charge vs. time function (1) for a capacitor in the discharging RC circuit shown below. Assume that at time t = 0 (right before the switch is closed) the voltage across the capacitor is V = V.. R R с V(t) С t=0 t>O Fig. 1. Fully charged RC circuit Fig. 2. Discharging RC Circuit (b) Solve the ODE...
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