6.5 The current in and the voltage across a 5 H inductor are known to be zero for t < 0. The voltage across the inductor is given by the graph in Fig. P6.5 for t 2 0. a) Derive the expression for the current as a function of time in the intervals 0 sis 1s, 1s st< 3 s, 3 s 0, what is the current in the inductor when the voltage is zero? c) Sketch i versus t for 0 < t < ∞. Figure P6.5 v (V) 100 I (s) 3 5 - 100

6.5 The current in and the voltage across a 5 H inductor are known to be zero for t < 0. The voltage across the inductor is given by the graph in Fig. P6.5 for t 2 0. a) Derive the expression for the current as a function of time in the intervals 0 sis 1s, 1s st< 3 s, 3 s 0, what is the current in the inductor when the voltage is zero? c) Sketch i versus t for 0 < t < ∞. Figure P6.5 v (V) 100 I (s) 3 5 - 100

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Task: Using the given charge and discharge values at these discrete points in time, construct two plots of Voltage (V.) vs. Time (t) for charging and discharging of the capacitor. ID: Name of Student: 3.1 RC Circuit The objective of this part is to study the charging and discharging of a capacitor by measuring the potential difference (voltage) across the capacitor as a function of time. The students will also measure the experimental time constant and use it to determine the experimental value of the capacitance of the capacitor. Table 1. Voltage-Time Table for Charging Capacitor Time t(s) Potential Diffèrence V(t) Time t(s) Potential Diffèrence V(t) 40 1.328 V OV 5 0.332 V 50 1.386 V 10 60 0.638 V 1.422 V 15 70 0.861 V 1.437 V 20 1.017 V 80 1.448 V | 25 90 1.458 V 1.131 V Task: Using your collected Voltage-Time data for discharging, calculate time constant t. 30 1.220 V 100 1.458 V Show the formulations and data pair you used in the calculation. If the resistance is given to be equal…
Consider an inductor that is connected to a voltage source that has the waveform given in (a), and the current, power, and the energy of the inductor has the waveforms given in (b), (e), and (d), respectively. According to these waveforms, estimate the inductance of the inductor. 5 Voltage (mV) Current (mA) 0.7 1.0- 0.6- 0.8- 0.5- 0.6- 0.4- 0.4- 0.3- 02- 0.2- 0.5 1 0.1- 1.5 3.5 Time (s) 2 2.5 3 -02 0.5 1 1.5 2 2.5 3 3.5 Time (s) (a) (b) Energy (nJ) Power (W) 40- 024 35 0.15- 30- 25- 0.1- 20- 0.05- 15- 0- 10- 0.5 1.5 2.5 Time (s) -0.05- 5- -0.14 0.5 1.5 2.5 Time (s) (c) (d) 200 mH 400 mH 2 mH 8 H 18 mH 36 mH 0.6 mH O 0.06 H O O
Inductance, Capacitance, and Mutual Inductance d.) Find the energy (in microjoules) stored in the inductor at 5 ms.e.) Find the maximum energy 9in microjoules) stored in the inductor and the time(in milliseconds) when it occurs.D and E only. Thank youuu
EXAMPLE 6. The waveform for the current in a 1nF capacitor is shown. If the capacitor has an initial voltage of -5 V, determine the waveform for the capacitor voltage. How much energy is stored in the capacitor at t = 6 ms? 10 10 -10 -10 10 12 time (ms) (micro- 2.
+ , ? (D Page view 13 of 17 12 E6.5 The waveform for the current in a 1-nF capacitor is Fig. E6.5. If the capacitor has an initial voltage of-5V, determine the waveform for the capacitor voltage. How much energy is stored in the capacitor at t 6 ms? 4 i(t) (HA) 10- 4. (ms) 6 8. 9 10 -10- + 3
Ask NVC M Gmail YouTube Maps Google bily 6. in (A) 21 2. 4. 5. Consider the following figure that shows the current in an inductor of 5 H. Find the voltage across the inductor at t= 3.5 second. otherwise 125 V -12.5 V 25 V 75V +++
Derive the expression for the energy storage in the inductor.
A capacitor C is charged by a constant voltage source (U= 1 V). Source and capacitor are connected by a resistor R with 10 k. The voltage at the capacitor is denoted as Uc. 10 kQ 1 V The charging characteristics is shown in the following graph. Uc/U in a.u. 0.8 0.6 0.4 0.2 0.2 0.4 0.6 time in s 0.8 U₁ ×10-7 a) Please determine the time constant . If necessary, add information to the diagram above. b) Please calculate the capacitance C. c) When the constant voltage source is replaced by an alternating voltage source with a sinusoidal output, please derive the magnitude of the transfer function H(jw)=Uout/Uin when yout is the voltage at the capacitor for w→ 0 and w →∞. What kind of filter is obtained? How can the filter characteristics be inverted?
Using V = 14 mV, and given the voltage across an inductor L = 2 mH as shown in Fig. P6.25, determine the equation of current as a function of time across the inductor during the time Oms <= t <= 1 ms. Assuming the solution looks like i₁(t) = Xt² + C, what is the value of X? For your answer, just put the value of X in Amperes/s² (there should only be a number in your answer). v(t) (mV) 4 V- t (ms)
of 17 (D Page view |A Read alo 13 12 E6.5 The waveform for the current in a 1-nF capacitor is Fig. E6.5. If the capacitor has an initial voltage of-5V, determine the waveform for the capacitor voltage. How much energy is stored in the capacitor at t = 6 ms? i(t) (HA) 10- 4 t (ms) 1 3. 6. 7 8 9. 10 -10-
Using V = 9 mV, and given the voltage across an inductor L = 10 mH as shown in Fig. P6.25, determine the waveform for the inductor current during the time t1 <= t <=t2, where t1=4 ms and t2-19 ms. Assuming the solution looks like i(t) = X(t-t1)² + Y(t- t1) + C, what is the initial condition of the current (the constant, C)? For your answer just put the magnitude of the initial value of the constant and in milliAmps (there should only be a number in your answer). v(t) (mV) 4 V- O t1 t2 t (ms)
Question 6 E Using V = 4 mV, and given the voltage across an inductor L = 6 mH as shown in Fig. P6.25, determine the equation of current as a function of time across the inductor during the time Oms <= t <= 1 ms. Assuming the solution looks like i(t) = Xt² + C, what is the value of X? For your answer, just put the value of X in Amperes/s² (there should only be a number in your answer). v(1) (MV) 4 0 Figure P6.25 V Notes on entering solution: . . 2 Enter your solution in Amps/s² Pay attention to the interval • Enter your solution to 2 decimal points Only put the number before the t2, ex. 20012 + 1 is entered as 200 r (ms) • Pay attention to signs • Do not include units in your answer .ex. 5A/s² is entered as 5.00