The current in 5 mH inductor is periodic and triangular as shown below.
a. Plot the inductor voltage vs. time (using the relationship that v(t) = L di/dt).
b. Plot the instantaneous power vs. time.
c. Determine the average power of the inductor (computed over the period of the waveform, 2 ms).
Homework Answers
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The current in 5 mH inductor is periodic and triangular as shown
below.
a. Plot...
The current in a 5-mH inductor has the waveform shown in Fig. 1. Compute the inductor...
The current in a 5-mH inductor has the waveform shown in Fig. 1. Compute the inductor voltage for each of the time segments shov Ai(t) (mA) 20 10 - - - O 2 3 5 tims) Figure 1 Show work Omsst s1 ms -->v(t)= ? 1msst s2 ms -->v(t)= ? 2msst s 3ms -->v(t)= ? 3 ms s t 4 ms -->v(t)= ? 4 ms st 55 ms -->v(t)= ?
The triangular current pulse shown in (Figure 1) is applied to a 20 mH inductor. Use...
The triangular current pulse shown in (Figure 1) is applied to a 20 mH inductor. Use the passive sign convention. O AEQ If vec ? y = Submit Request Answer Part F Derive the expression for the inductor voltage in the interval 0 <t<5 ms. Suppose that t is in seconds. Express your answer in volts in terms of t. TIVI AS01 1. vec ? Submit Request Answer Figure < 1 of 1 > Part G the interval ms <t<10...
The current in a 6.00 mH-inductor varies in time as shown. Construct a graph of the...
The current in a 6.00 mH-inductor varies in time as shown.
Construct a graph of the self-induced emf across the inductor
over the time interval t= 0 to t= 12.0 ms
i (mA) 3 2 1 (ms) 2 4 6 8 10 12 -1 -2
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
The triangular current pulse is applied the four time intervals, t0, 0 st< 5 ms, 5...
The triangular current pulse is applied the four time intervals, t0, 0 st< 5 ms, 5 ms ts 10 ms, and to a 20 mH inductor. (a) Write the expressions that describe it) in IS t> 10 ms. (b) Derive the expressions for inductor voltage, power and energy. Use passive sign convention i(mA) 250 10ms t(ms 5ms
Determine the current through a 45.0 mH inductor, in A, at time t=64.8 ms, for the...
Determine the current through a 45.0 mH inductor, in A, at time t=64.8 ms, for the voltage across the inductor shown graphically: 1:0), V 2V V 0 1, ms 1, T; -V -2V where V=4.6 V T1=13,8 18 T2=28.6 ms T3=57.2 ms
7. A periodic triangular-wave voltage source (t)is applied to an RLC circuit (both are shown below)....
7. A periodic triangular-wave voltage source (t)is applied to an RLC circuit (both are shown below). Estimate the average power delivered to the 20 kΩ resistor when the circuit is operating in steady-state. Hint: 200 Σ nz sin 4(t) = 25 + sin(na0t) n=1 n=odd 20 mH 50 pF 20 kΩ % (V) 50 r (As) 3
A 7.09 µF capacitor and a 7.39 mH inductor are connected in series with an AC...
A 7.09 µF capacitor and a 7.39 mH inductor are connected in series with an AC power source that has a frequency of 3.45 x103 Hz and a peak voltage of 65 V. Take the initial time t as zero when the instantaneous voltage equals zero. Determine the instantaneous current when t = 2.13x 10-4 s.
A 2.41 µF capacitor and a 11.60 mH inductor are connected in series with an AC...
A 2.41 µF capacitor and a 11.60 mH inductor are connected in series with an AC power source that has a frequency of 4.03 x103 Hz and a peak voltage of 34 V. Take the initial time t as zero when the instantaneous voltage equals zero. Determine the instantaneous current when t = 7.38x 10-4 s.
2. Consider the periodic waveform illustrated below. (The period is 10 ms, and two periods are...
2. Consider the periodic waveform illustrated below. (The period is 10 ms, and two periods are shown.) (a) Determine the rms voltage. (b) If this voltage waveform is applied across a 0.5 Ohm resistor, determine the average power delivered to this resistor, and the rms current in the resistor. v(t) (Volts) VA 1 2 4 6 8 10 place in the 12 14 16 18 20 t (ms) -10 +
The current in a 5-mH inductor has the waveform shown in Fig. 1. Compute the inductor voltage for each of the time segments shov Ai(t) (mA) 20 10 - - - O 2 3 5 tims) Figure 1 Show work Omsst s1 ms -->v(t)= ? 1msst s2 ms -->v(t)= ? 2msst s 3ms -->v(t)= ? 3 ms s t 4 ms -->v(t)= ? 4 ms st 55 ms -->v(t)= ?
The triangular current pulse shown in (Figure 1) is applied to a 20 mH inductor. Use the passive sign convention. O AEQ If vec ? y = Submit Request Answer Part F Derive the expression for the inductor voltage in the interval 0 <t<5 ms. Suppose that t is in seconds. Express your answer in volts in terms of t. TIVI AS01 1. vec ? Submit Request Answer Figure < 1 of 1 > Part G the interval ms <t<10...
The current in a 6.00 mH-inductor varies in time as shown.
Construct a graph of the self-induced emf across the inductor
over the time interval t= 0 to t= 12.0 ms
i (mA) 3 2 1 (ms) 2 4 6 8 10 12 -1 -2
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
The triangular current pulse is applied the four time intervals, t0, 0 st< 5 ms, 5 ms ts 10 ms, and to a 20 mH inductor. (a) Write the expressions that describe it) in IS t> 10 ms. (b) Derive the expressions for inductor voltage, power and energy. Use passive sign convention i(mA) 250 10ms t(ms 5ms
Determine the current through a 45.0 mH inductor, in A, at time t=64.8 ms, for the voltage across the inductor shown graphically: 1:0), V 2V V 0 1, ms 1, T; -V -2V where V=4.6 V T1=13,8 18 T2=28.6 ms T3=57.2 ms
7. A periodic triangular-wave voltage source (t)is applied to an RLC circuit (both are shown below). Estimate the average power delivered to the 20 kΩ resistor when the circuit is operating in steady-state. Hint: 200 Σ nz sin 4(t) = 25 + sin(na0t) n=1 n=odd 20 mH 50 pF 20 kΩ % (V) 50 r (As) 3
2. Consider the periodic waveform illustrated below. (The period is 10 ms, and two periods are shown.) (a) Determine the rms voltage. (b) If this voltage waveform is applied across a 0.5 Ohm resistor, determine the average power delivered to this resistor, and the rms current in the resistor. v(t) (Volts) VA 1 2 4 6 8 10 place in the 12 14 16 18 20 t (ms) -10 +
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