ε=20V I S i Ry=150 Ω www R=50 Ω ic |C=1uF
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see the image:
The question asks for the currents of i1 and ic at time = 0; Then it asks the currents for i1 and ic at infinite time.
In the first case, where time is 0, ic = 0.4 A and i1 = 0, because, according to the answer, all the current passes trough the capacitor, as it is short circuited, and not the resister.
At the second case, where time = inf, ic = 0, because there is no more current passing through it, and i1 = 0.1A.
THE QUESTION IS:
Why there is no charge passing through i1 at t = 0, and why there is no charge passing through ic at time t = infinite?
As long as I know, when the capacitor is fully charged it does not allow charge to pass trough it, but in some places I find that it allows all the current to flow trough it. Please clarify and let it clear, you may use a real life example to make it simpler.
Step by step
Solved in 2 steps with 2 images
- The figure below shows a simplified model of a cardiac defibrillator, a device used to resuscitate patients in ventricular fibrillation. S R Rorso + The capacitor C charge through the resistor R (when the switch S is toggled to left) and discharge current through the patient's torso which is of resistance (when the switch S is toggled to right). This phenomenon allows the heart's normal rhythm to be reestablished. (a) If the capacitor is initially uncharged with C = 7.0 µF; ɛ = 1240 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 800 V in 2.1 s. (b) If the capacitor is then discharged across the patient's torso with Rtorso = 1200 Q, calculate the voltage (in V) across the capacitor after 4.0 ms.A 2.00-nF capacitor with an initial charge of 5.81 µC is discharged through a 1.56-kΩ resistor. (a) Calculate the current in the resistor 9.00 µs after the resistor is connected across the terminals of the capacitor. (Let the positive direction of the current be define such that dQ dt > 0.) mA (b) What charge remains on the capacitor after 8.00 µs? µC (c) What is the (magnitude of the) maximum current in the resistor? AThe figure below shows a simplified model of a cardiac defibrillator, a device used to resuscitate patients in ventricular fibrillation. R HINT E S C When the switch S is toggled to the left, the capacitor C charges through the resistor R. When the switch is toggled to the right, the capacitor discharges current through the patient's torso, modeled as the resistor Rtorso, allowing the heart's normal rhythm to be reestablished. R torso V (a) If the capacitor is initially uncharged with C = 7.25 µF and E = 1220 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 755 V in 1.60 s. Ω (b) If the capacitor is then discharged across the patient's torso with Rtorso = 1270 , calculate the voltage (in V) across the capacitor after 4.50 ms.
- A 60.5 m length of insulated copper wire is wound to form a solenoid of radius 2.2 cm. The copper wire has a radius of 0.51 mm. (Assume the resistivity of copper is p = 1.7 x 10-8. m.) (a) What is the resistance of the wire? Ω (b) Treating each turn of the solenoid as a circle, how many turns can be made with the wire? turns (c) How long is the resulting solenoid? m (d) What is the self-inductance of the solenoid? mH (e) If the solenoid is attached to a battery with an emf of 6.0 V and internal resistance of 350 m2, compute the time constant of the circuit. ms (f) What is the maximum current attained? A (g) How long would it take to reach 99.9% of its maximum current? ms (h) What maximum energy is stored in the inductor? mJGiven the parallel circuit presented below IT A I2 R2 R3 12v R1 в The total power that the Power Source of 12V provides is 120 Watts. It is known that the current 13 = 3Amp and the Resistor R2=40. Calculate the value of the resistor R1.In the circuit below, it is known that R1 = 10 kΩ, R2 = 15 kΩ, and C = 0.4 μF, and a battery with an Emf of 20 Volts. Initially, the connector (switch) is connected for a long time until it reaches a steady state. Then the switch is disconnected/opened at t = 0. What is the current flowing in resistor 2 at t = 4 ms?
- A spherical surfaces r= 3 m and r=5 m are perfectly conducting and the total current passing radially outward through the medium between the two surfaces is (3 A) dc calculate: a) The voltage and the resistance between the spheres and (E) in the region between them, if a conducting material has o = 0.05 $/m is present for 3When the switch S is toggled to the left, the capacitor C charges through the resistor R. When the switch is toggled to the right, the capacitor discharges current through the patient's torso, modeled as the resistor Rtorso, allowing the heart's normal rhythm to be reestablished. (a)If the capacitor is initially uncharged with C = 8.25 µF and = 1270 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 755 V in 1.70 s. answer in Ω b) If the capacitor is then discharged across the patient's torso with Rtorso = 1260 Ω, calculate the voltage (in V) across the capacitor after 4.50 ms. answer in VIn the figure R₁ = 9.42 kQ, R₂ = 15.7 kQ, C = 0.439 µF, and the ideal battery has emf & = 18.0 V. First, the switch is closed a long time so that the steady state is reached. Then the switch is opened at time t = 0. What is the current in resistor 2 at t = 4.10 ms? Number Units R₁ R₂ C