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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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Need help with 31.14 please 

10:38 PM Mon Feb 5 harge stored on the resistor 95% of its maximum charge of T)? cuit shown in Figure 31.8 is sing a 6 V battery, a 3 k re- k resistor. Initially both Den and the capacitor is un- Switch : A C Switch B 6 ΚΩ re 31.8 An RC circuit ww s closed and the capacitor ge. econd the potential differ- oss the capacitor is 3.78 V. the capacitance of the ca- • lyceum.bates.edu tor be after 3 seconds? 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 km. 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 kQ2 which is con- nected in series with the patient. max (a) What is the maximum current I 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 minutes switch A is opened. the approximate potential e across the capacitor? w closed and the capacitor harge. the characteristic time for (d) What is the required capacitance of ing this capacitor? the defibrillator? (c) What is the required resistance that must be connected in series to the child patient's chest? 75%
Transcribed Image Text:10:38 PM Mon Feb 5 harge stored on the resistor 95% of its maximum charge of T)? cuit shown in Figure 31.8 is sing a 6 V battery, a 3 k re- k resistor. Initially both Den and the capacitor is un- Switch : A C Switch B 6 ΚΩ re 31.8 An RC circuit ww s closed and the capacitor ge. econd the potential differ- oss the capacitor is 3.78 V. the capacitance of the ca- • lyceum.bates.edu tor be after 3 seconds? 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 km. 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 kQ2 which is con- nected in series with the patient. max (a) What is the maximum current I 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 minutes switch A is opened. the approximate potential e across the capacitor? w closed and the capacitor harge. the characteristic time for (d) What is the required capacitance of ing this capacitor? the defibrillator? (c) What is the required resistance that must be connected in series to the child patient's chest? 75%
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