The figure below shows a simplified model of a cardiac defibrillator, a device used to resuscitate patients in ventricular fibrillation. 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. (a) If the capacitor is initially uncharged with C = 7.00 µF and e m f = 1270 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 795 V in 1.60 s. Ω (b) If the capacitor is then discharged across the patient's torso with Rtorso = 1230 Ω, calculate the voltage (in V) across the capacitor after 5.50 ms. V
The figure below shows a simplified model of a cardiac defibrillator, a device used to resuscitate patients in ventricular fibrillation. 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. (a) If the capacitor is initially uncharged with C = 7.00 µF and e m f = 1270 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 795 V in 1.60 s. Ω (b) If the capacitor is then discharged across the patient's torso with Rtorso = 1230 Ω, calculate the voltage (in V) across the capacitor after 5.50 ms. V
University Physics Volume 1
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The figure below shows a simplified model of a cardiac defibrillator, a device used to resuscitate patients in ventricular fibrillation.
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.
(a)
If the capacitor is initially uncharged with C = 7.00 µF and e m f = 1270 V, find the value of R (in ohms) required to charge the capacitor to a voltage of 795 V in 1.60 s.
Ω
(b)
If the capacitor is then discharged across the patient's torso with Rtorso = 1230 Ω, calculate the voltage (in V) across the capacitor after 5.50 ms.
V
Expert Solution
Step 1
(a)
Let T be defined as the RC constant.
Therefore, the voltage of the capacitor while charging at time t is given as,
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