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5Ω 3. Find the voltage across the inductor as a function of time, for t0. 6Ω...
AC generator connected across an inductor
The output voltage of an AC generator is given by Δv = (1.18 ✕ 102 V)sin(31?t). The generator is connected across a 0.500 H inductor. Find the following.(a) frequency of the generator Hz(b) rms voltage across the inductor V(c) inductive reactance Ω(d) rms current in the inductor A(e) maximum current in the inductor A(f) average power delivered to the inductor W(g) Find an expression for the instantaneous current. (Use the following as necessary: t.)i=2.42·sin(31πt) (h) At what time after t = 0 does the instantaneous current first reach 1.00 A? (Use the inverse sine function.) Your response differs...
-6 --- Figure P8.22 Voltage across an inductor for problem P8-22. E 8-23. The voltage across...
-6 --- Figure P8.22 Voltage across an inductor for problem P8-22. E 8-23. The voltage across an inductor is given in Fig. P8.23. Knowing that v(t) = 1 dit) and p(t) = v(t) i(t), sketch the graphs of i(t) and p(t). Assume L = 2 mH, i(0) = 0 A, and p(0) = 0 W. & Problems 271 i( v() - (1), V 1, ms en (1) Figure P8.23 Voltage across an inductor for problem P8-23. of 8-24. The current...
1. The current of a 20 mH inductor is given as 40 mA i(t) = la,e-10000t...
1. The current of a 20 mH inductor is given as 40 mA i(t) = la,e-10000t + A2e-40000-A ,t so ,t > 0 Assume that at time t0, the inductor voltage is 28 V. For t>0, find (a) the inductor voltage (b) the time when the inductor power is zero Now assume that at time t-0, the inductor voltage is-68 V. For t>O find (c) the inductor voltage for this new initial condition (d) the time interval during which the...
Problem 3: Find the voltage v,f) across the capacitor as a function of time for i>...
Problem 3: Find the voltage v,f) across the capacitor as a function of time for i> 0 for the circuit below. Assume steady-state conditions exist at r D t-0 10Ω ЗА
2. Find the voltage v(t) for t 2 0 in the circuit of Fig. 2 3Ω...
2. Find the voltage v(t) for t 2 0 in the circuit of Fig. 2 3Ω 21 V 12Ω 1 F 6 6Ω Fig. 2
3. A circuit contains a switch, a switch is closed at t0 = 10 V battery, a Imax-20 A fuse, and a L = 5.0 H inductor. The ImAx (a) Write a loop equation for the circuit to find a relation between dI/d...
3. A circuit contains a switch, a switch is closed at t0 = 10 V battery, a Imax-20 A fuse, and a L = 5.0 H inductor. The ImAx (a) Write a loop equation for the circuit to find a relation between dI/dt, L and ε (b) Integrate the result of part a to find the I at a function of time t with parameters to fully specify I(t) you must consider the initial value of the current. and L....
(a) In an RLC circuit, can the amplitude of the voltage across an inductor be greater...
(a) In an RLC circuit, can the amplitude of the voltage across an inductor be greater than the amplitude of the generator emf? (b) Consider an RLC circuit with driving emf amplitude Εm = 12 V, resistance R = 10 Ω, inductance L = 0.8 H, and capacitance C = 1.0 μF. Find the amplitude of the voltage across the inductor at resonance.
ART 2: Capacitor and Inductor Switch Circuits If the voltage, v, across the top 3 ohm...
ART 2: Capacitor and Inductor Switch Circuits If the voltage, v, across the top 3 ohm resistor is 9V at time t-0-, and the current, i through the top 9 ohm resistor at time 0- is 1A, find i and di/dt at time 0-, 0+, and t-infinity. (note, if you want a partial check on your answers, i(0+) should be -2A and di(0+)/dt should be 7.5A/s. 4. 3Ω IF 18V 3Ω
Question 1 Find the waveform for the voltage across a 18-mH inductor when the inductor current...
Question 1 Find the waveform for the voltage across a 18-mH inductor when the inductor current is given by the waveform shown in the figure below. i(t) (A) 4 0.6 0.9 0.3 1.1 t (s) -2
An inductor has an inductance of 0.036 H. The voltage across this inductor is 41 V...
An inductor has an inductance of 0.036 H. The voltage across this inductor is 41 V and has a frequency of 570 Hz. What is the current in the inductor?
The output voltage of an AC generator is given by Δv = (1.18 ✕ 102 V)sin(31?t). The generator is connected across a 0.500 H inductor. Find the following.(a) frequency of the generator Hz(b) rms voltage across the inductor V(c) inductive reactance Ω(d) rms current in the inductor A(e) maximum current in the inductor A(f) average power delivered to the inductor W(g) Find an expression for the instantaneous current. (Use the following as necessary: t.)i=2.42·sin(31πt) (h) At what time after t = 0 does the instantaneous current first reach 1.00 A? (Use the inverse sine function.) Your response differs...
-6 --- Figure P8.22 Voltage across an inductor for problem P8-22. E 8-23. The voltage across an inductor is given in Fig. P8.23. Knowing that v(t) = 1 dit) and p(t) = v(t) i(t), sketch the graphs of i(t) and p(t). Assume L = 2 mH, i(0) = 0 A, and p(0) = 0 W. & Problems 271 i( v() - (1), V 1, ms en (1) Figure P8.23 Voltage across an inductor for problem P8-23. of 8-24. The current...
1. The current of a 20 mH inductor is given as 40 mA i(t) = la,e-10000t + A2e-40000-A ,t so ,t > 0 Assume that at time t0, the inductor voltage is 28 V. For t>0, find (a) the inductor voltage (b) the time when the inductor power is zero Now assume that at time t-0, the inductor voltage is-68 V. For t>O find (c) the inductor voltage for this new initial condition (d) the time interval during which the...
Problem 3: Find the voltage v,f) across the capacitor as a function of time for i> 0 for the circuit below. Assume steady-state conditions exist at r D t-0 10Ω ЗА
2. Find the voltage v(t) for t 2 0 in the circuit of Fig. 2 3Ω 21 V 12Ω 1 F 6 6Ω Fig. 2
3. A circuit contains a switch, a switch is closed at t0 = 10 V battery, a Imax-20 A fuse, and a L = 5.0 H inductor. The ImAx (a) Write a loop equation for the circuit to find a relation between dI/dt, L and ε (b) Integrate the result of part a to find the I at a function of time t with parameters to fully specify I(t) you must consider the initial value of the current. and L....
ART 2: Capacitor and Inductor Switch Circuits If the voltage, v, across the top 3 ohm resistor is 9V at time t-0-, and the current, i through the top 9 ohm resistor at time 0- is 1A, find i and di/dt at time 0-, 0+, and t-infinity. (note, if you want a partial check on your answers, i(0+) should be -2A and di(0+)/dt should be 7.5A/s. 4. 3Ω IF 18V 3Ω
Question 1 Find the waveform for the voltage across a 18-mH inductor when the inductor current is given by the waveform shown in the figure below. i(t) (A) 4 0.6 0.9 0.3 1.1 t (s) -2
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