A fuse of zero resistance, an inductor with inductance L-5 H, a battery with emf E=10 V, and a switch are connected in series and make one loop. If the current through the fuse reaches the maximum allowed Imax = 3 A, the fuse "blows" and thereafter has infinite resistance. The switch is initially open and closes at time t=0 s. How long will it take since closing the switch till the fuse blows?
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- The figure shows an electrical circuit with an ideal source ε1 = 12 [V], a real source ε2 = 9 [V] and r1 = 1 [Ω], eight resistors and two capacitors. Switches A and B areThey are originally open and the charge on the capacitors is zero. If at t = 0 [s] switch A opens and switch B closes, determine:d) The potential difference of resistor R8 at t = 2.6 [s].e) The time required for the potential difference of the equivalent capacitor to reach the maximum possible value. Justify your answer.1. For the network shown in Figure 1:(a) Determine the mathematical expressions for the variation of the current in the inductor following the closure of the switch at t = 0 on to position 1.(b) When the switch is closed on to position 2 at t = 100 ms, determine the new expression for the inductor current and for the voltage across R.(c) Plot the current waveforms for t: 0 to t = 200 ms.The figure shows an electrical circuit with an ideal source ε1 = 12 [V], a real source ε2 = 9 [V] and r1 = 1 [Ω], eight resistors and two capacitors. Switches A and B areThey are originally open and the charge on the capacitors is zero. If switch A closes (B remains open), determine:a) The currents of the resistors R2 and R5.b) The potential difference between b and c, that is, Vbc. Indicate which point is at the greatest potential.c) The power supplied by the real source ε2.
- 2. 7.2 In the circuit shown the switch makes contact withposition b just before breaking contact with position a. This is known asa make-before-break switch and it ensures that the inductor current iscontinuous. The interval of time between “making” and “breaking” isassumed to be negligible. The switch has been in the a position for along time. At t=0 the switch is thrown from position a to position b.4. d) What percentage of the initial energy stored in the inductor isdissipated in the 90 Ω resistor 1 ms after the switch is thrown fromposition a to position b?A circuit consists of switches that open or close at t=0, resistances, dc sources, and a single energy storage element, either an inductance or a capacitance. We wish to solve for a current or a voltage x(t) as a function of time for t≥0. Write the general form for the solution. How is each unknown in the solution determined?Prior to t=0, the current in a 2-H inductance is zero. Starting at t=0, the current is increased linearly with time to 10 A in 5 s. Then, the current remains constant at 10 A. Sketch the voltage, current, power, and stored energy to scale versus time.
- Vbatt=25 VC1=90 ?CC2=75 ?CC3=60 ?CR1=160 ΩR2=120 Ωt2=21.6 msect3=27 msecConsider the circuit shown below which shows a battery connected to some resistors and capacitors along with some switches which will be toggled opened or closed at different times. The components are listed above. The capacitances are in microCoulombs (?C), the resitances are in Ohms (Ω), and the times are in milliseconds (msec). A stopwatch is started at time t1=0 ms. At that time, switch S1 is closed and all other switches are open and the capacitor is allowed to charge up.(a). What is the charge (in uC) on C1 at the time the stopwatch reads t2=21.6 ms?Ans: 1750 uC(b). What is the current (in mA) through R1 at t2=21.6 ms?Ans: 34.9 mA(c). What is the voltage (in V) across R1 at t2=21.6 ms?Ans: 5.58 V(d). What is the voltage (in V) across C1 at t2=21.6 ms?Ans: 19.4 V(e). What is the energy (in mJ) in C1 at t2=21.6 ms?Ans: 17.0 mJThen, immediately at time t2=21.6 on the stopwatch, switch S1 is thrown open and…A circuit with a supply voltage of 2.5 V is being powered through a package. The packagehas a resistance of 100 m and a certain inductance L. The circuit requires at least 2.25 Vto function correctly. If this voltage is required in a time of 1ns, calculate the effectiveinductance L for the package.In the circuit shown in the figure, the inductor has inductance ?=3.50 HL=3.50 H and negligible internal resistance. The battery has a voltage of ?b=16.0 VVb=16.0 V and is connected in series to a resistor of resistance ?1=14.0 Ω.R1=14.0 Ω. A second resistor has a resistance of ?2=145 Ω.R2=145 Ω. The switch ?S has been open for a long time. At time ?=0,t=0, the switch is closed. What is the current ?b,0Ib,0 through the battery, the current ?2,0I2,0 through resistor ?2,R2, and the current ?L,0IL,0 through the inductor at ?=0.t=0. What is the current ?b,∞Ib,∞ through the battery, the current ?2,∞I2,∞ through resistor ?2,R2, and the current ?L,∞IL,∞ through the inductor long after the switch is closed (i.e., ?=∞).
- A battery of emf 30.0 V is connected to a switch, an inductor of inductance ? = 0.600 ? and two resistors, R1 = 10.0 ? and R2 = 6.00?. The switch is initially open. A. What are the values of currents ?1, ?2, ?3 just after the switch is closed? (Just give an answer) ?1 = ?2 = ?3 = B.)Which point, a or b, is at higher potential or are they at the same potential, just after switch S is closed? (Just give an answer) C. What is the value of current ?1 through the battery a long time after the switch is closed? Show your work and briefly explain your logicPlease help with the 6 questions: In the circuit shown in the figure, the inductor has inductance ?=2.50 HL=2.50 H and negligible internal resistance. The battery has a voltage of ?b=11.0 VVb=11.0 V and is connected in series to a resistor of resistance ?1=15.0 Ω.R1=15.0 Ω. A second resistor has a resistance of ?2=185 Ω.R2=185 Ω. The switch ?S has been closed for a long time. At time ?=0,t=0, the switch is opened. What is the current ?b,0Ib,0 in the battery, the current ?2,0I2,0 in resistor ?2,R2, and the current ?L,0IL,0 in the inductor at ?=0.t=0. What is the current ?b,∞Ib,∞ in the battery, the current ?2,∞I2,∞ in resistor ?2,R2, and the current ?L,∞IL,∞ in the inductor after the switch is opened for a long time (i.e., ?=∞).A 150-volt electromotive force is applied to an RC-series circuit in which the resistance is 1500 ohm and the capacitance is 5 micro Farad (uF). If q(0)=0, find the charge and current at t=0.005 s. charge: q = micro Farad (uF) current: i = milli ampere (mA) Determine the charge as t approaches infinity. charge: q= micro Farad (uF)