A defibrillator is a device that provides a high energy electrical impulse to correct abnormal heart beats - Scottish Highers Physics - Question 11 - 2015
Question 11
A defibrillator is a device that provides a high energy electrical impulse to correct abnormal heart beats.
The diagram shows a simplified version of a defibrillato... show full transcript
Worked Solution & Example Answer:A defibrillator is a device that provides a high energy electrical impulse to correct abnormal heart beats - Scottish Highers Physics - Question 11 - 2015
Step 1
Show the charge on the capacitor when it is fully charged is 0.16 C.
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Answer
To find the charge on the capacitor, we use the formula:
Q=CimesV
where:
Q is the charge,
C is the capacitance (64 µF = 64imes10−6F),
V is the voltage (2.50 kV = 2.50imes103V).
Substituting the values, we get:
Q=64imes10−6Fimes2.50imes103V
Calculating this gives:
Q=0.16C
Step 2
Calculate the maximum energy stored by the capacitor.
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Answer
The maximum energy stored in the capacitor is given by:
E=21CV2
Substituting the given values:
E=21×(64×10−6F)×(2.50×103V)2
Calculating this yields:
E=200J
Step 3
Calculate the effective resistance of the part of the person’s body between the paddles.
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Answer
Using Ohm's Law, we can derive the resistance: V=IimesR
Rearranging gives: R=IV
Where V is the voltage across the paddles (2.50 kV = 2.50imes103V) and I is the initial discharge current (35 A): R=35A2.50×103V≈71.43Ω
Step 4
Explain why the current decreases with time.
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Answer
The current decreases with time due to the discharging of the capacitor. As the charge on the capacitor decreases while discharging through the person's body, the potential difference across the paddles also reduces, leading to a decrease in the current. Hence, even though the resistance remains constant, the current reduces because of the diminishing voltage.
Step 5
Add a line to show how the current in this case would appear.
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Answer
The new line on the graph will start at a lower initial current than the first case due to the larger effective resistance of the person. This will result in a slower decrease towards zero. The curve is expected to decline more gradually compared to the original person owing to higher resistance.
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