31.14 A defibrillator can be modelled as a capacitor which discharges through the patient, inducing an electrical current in the chest. The resistance of the path which the electrical current takes through the chest of a typical adult is 50 k. A particular defibrillator has a capacitance of 16.67 nF and is designed to be charged to an electrical potential of 900 V before discharging. The defibrillator includes a 'ballast' resistor of 40 km which is con- nected in series with the patient. (a) What is the maximum current Imax that will pass through the typical adult patient's chest? (b) How long will it take the cur- rent passing through the typical adult patient's chest to drop below 1.37 mA? You wish to redesign this defibrillator so it can be used on a child. The resis- tance of the typical child's chest is around 40 k and the maximum current that be allowed through the chest is 8 mA. The current must drop to 0.15 mA in 4 ms. If the defibrillator is charged to a maximum potential of 900 V as before, then (c) What is the required resistance that must be connected in series to the child patient's chest? (d) What is the required capacitance of the defibrillator?
31.14 A defibrillator can be modelled as a capacitor which discharges through the patient, inducing an electrical current in the chest. The resistance of the path which the electrical current takes through the chest of a typical adult is 50 k. A particular defibrillator has a capacitance of 16.67 nF and is designed to be charged to an electrical potential of 900 V before discharging. The defibrillator includes a 'ballast' resistor of 40 km which is con- nected in series with the patient. (a) What is the maximum current Imax that will pass through the typical adult patient's chest? (b) How long will it take the cur- rent passing through the typical adult patient's chest to drop below 1.37 mA? You wish to redesign this defibrillator so it can be used on a child. The resis- tance of the typical child's chest is around 40 k and the maximum current that be allowed through the chest is 8 mA. The current must drop to 0.15 mA in 4 ms. If the defibrillator is charged to a maximum potential of 900 V as before, then (c) What is the required resistance that must be connected in series to the child patient's chest? (d) What is the required capacitance of the defibrillator?
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