1. In the circuit shown in the figure, R1 = R2 = 2kn, C = 500µF, C2 = 1000µF, C3 = 1000µF, and e = 50V. Capacitors have no charge at t=0 when switch S is set to position A. ww a) Find the current through the power supply at t-0. b) Find the time constant of the circuit. c) When the capacitors are fully charged, find the potential difference between the plates of C2.
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- Consider the circuit shown in the figure, with ε=36.0V,R0=50.0Ω,R=150Ω andL=4.00H. (a) Switch S1 is closed. Just after S1 is closed, what are the current i0 through R0 andthe potential differences VAC and VCB? (b) After S1 has been closed a long time so that the current has reached its final, steadyvalue, what are i0 , VAC and VCB? (c) Find the expressions for i0 , VAC and VCB as functions of time since S1 was closed.Do your results agree with what you get in (a) and (b) ? Graph i0 , VAC and VCB as afunction of time.Bioelectrical impedance analysis is a commercially available method used to estimate body fat percentage. The device applies a small potential between two parts of the patient's body and measures the current that flows through. With an estimate of the resistance individually of the muscle and fat between the two points, the composition of the tissue can be estimated. Assume that the muscle and fat tissue can be modeled as resistors in parallel. a) If a potential difference of 5 V is applied across the patient's arm, what is the potential drop across the patient's fat? b) If the measured resistance of the patient's arm is 750 Ω and the resistance of fat is 3 times that of muscle, what is the resistance of the muscle?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.
- 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 microFarads (?F), 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). (i)What is the charge (in uC) on C1 at the time the stopwatch reads t2=21.6 ms?a)3690 b)1520 c)5710 d)2630 e)683 f)1750 (a).(ii)What is the current (in mA) through R1 at t2=21.6 ms?34.9 30.4 114 13.6 73.6 52.4 (b)(i)What is the voltage (in V) across R1 at t2=21.6 ms?8.37 5.58 2.18 11.8 18.2 4.85(ii). What is the voltage (in V) across C1 at t2=21.6 ms?63.2 29.1 40.9 7.57 19.4 16.9(c). (i) What is the energy (in mJ) in C1 at t2=21.6 ms?6.63…the emf source, E=3.2 V, of the circuit shown in the figure has negligible internal resistance. the resistors have resistances R1=3 ohm and R2=4.2 ohm. the capacitor has a capacitance C= 3.1uF. A) determine the time constant t , in units of microseconds for charging the capacitor. B) what is the charge Q on the capacitor in units of microcoulomb?A potential difference V(t) = V0sin ωt ismaintained across a parallel-plate capacitor withcapacitance C consisting of two circular parallel plates. Athin wire with resistance R connects the centers of the twoplates, allowing charge to leak between plates while theyare charging.(a) Obtain expressions for the leakage current Ires(t) in thethin wire. Use these results to obtain an expression for thecurrent Ireal(t) in the wires connected to the capacitor.(b) Find the displacement current in the space between theplates from the changing electric field between the plates.(c) Compare Ireal(t) with the sum of the displacementChapter 16 | Electromagnetic Waves 733current Id(t) and resistor current Ires(t) between theplates, and explain why the relationship you observe wouldbe expected.
- As shown, the battery has emf ε = 18.0 V and the other circuit elements have values L = 0.400 H, R1 = 2.00 kΩ, and R2 = 6.00 kΩ. The switch is closed for t < 0, and steady-state conditions are established. The switch is then opened at t = 0. (a) Find the emf across L immediately after t = 0. (b) Which end of the coil, a or b, is at the higher potential? (c) Make graphs of the currents in R1 and in R2 as a function of time, treating the steady-state directions as positive. Show values before and after t = 0. (d) At what moment after t = 0 does the current in R2 have the value 2.00 mA?A series resistance of 10 ohms and a capacitance of 0.1 F are connected to a 100-V source. The charge is zero at t = 0. (a) Obtain the equation of the charge at any time t. (b) At what time the current be 5 amp?The circuit shown in Figure-2 is at steady state before the switch closes at time t = 0. The input to the circuit is the voltage of the voltage source, 12 V. The output of this circuit is the voltage across the capacitor, v(t). -Use Matlab Simscape Electrical to build and plot the output, v(t), as a function of t (by using scope). Use the plot to obtain an analytic representation of v(t) for t > 0. Hint: We expect v(t) = A + Be–t/τ for t > 0, where A, B, and τ are constants to be determined. Modify the circuit given in this example (build figure-2) https://www.mathworks.com/help/physmod/simscape/ug/operating-point-rlc-transient-response.html You will obtain a graph as figure 2-b and by using graph and substituting three ‘t’ values to v(t) then you can find A, B and τ.
- What is a Linear Circuit? Simply we can say that the linear circuit is an electric circuit (Links to an external site.) and the parameters of this circuit are resistance, capacitance, inductance and etc are constant. Or we can say the parameters of the circuits are not changed with respect to the voltage and current is called the linear circuit. What is a Non-Linear Circuit? The non-linear circuit is also an electric circuit and the parameters of this circuit differ with respect to the current and the voltage. Or in the electric circuit, the parameters like waveforms, resistance, inductance and etc are not constant is called as Non- linear circuit. Question: Is it possible to apply superposition theorem to nonlinear circuit? If yes, why? and if no, why?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.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 logic