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[post_date] => 2025-01-09 08:03:59
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[post_content] => Practice Passage (Question 1-4)
*This passage is the property of Khan Academy and has been reformatted into an AAMC-style interface in their entirety by MedLife Mastery. MedLife Mastery does not endorse and is not an affiliate of Khan Academy.
Cardiac dysrhythmia, or irregular heartbeat, is a condition that can have a number of causes and manifestations. One example of this is fibrillation, a condition in which the heart erratically contracting due to spontaneous electrical impulses from the cardiac nodes.
A defibrillator is a device that charges up and can deliver a large amount of electrical energy in a short amount of time to someone suffering from cardiac dysrhythmia. This burst of electrical energy has the potential to briefly stop a heart that is beating irregularly. The heart will then immediately restart, and will often revert to a steady, normal beating pace again, as the spontaneous impulses have now been eliminated. One of the main components in a defibrillator is a capacitor.
Figure 1. Defibrillator placement on a patient with cardiac dysrhythmia.
The hospital you work for uses a defibrillator that has a single capacitor with a capacitance of 10-6 F. When it is about to be used, the defibrillator is charged to a voltage of 4000 V.
[post_title] => Cardiac dysrhythmia and defibrillators
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[question] => How much charge is stored on the defibrillator ‘s capacitor when it has been fully charged?
[value] => Array
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[answer] => 3
[description] => Reason for the Correct Answer:
The definition of capacitance is C = Q/V.
We’re told that the capacitor is subjected to a voltage of 4000V.
Plug in the capacitance of 10-6 F for C, and the voltage of 4000V for V. Then solve for Q.Q = C x V, so Q = ( 10-6 F) x (4000 V) = 0.004 C
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[answers] => Array
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[each_answer] => A. 10 C
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[each_answer] => B. 4 C
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[each_answer] => C. 0.004 C
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[3] => Array
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[each_answer] => D. 0.001 C
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[1] => Array
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[quiz_unique_key] => 3873426850
[question] => If you were to connect an additional 3 x 10-6F capacitor in parallel with the original 10-6F capacitor in the defibrillator, what would be the equivalent capacitance?
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[answer] => 1
[description] => Reason for the Correct Answer:
For parallel capacitors, you can add individual capacitors to find the equivalent capacitance
The capacitors you are adding in parallel are 3 x 10-6 F and 10-6
Adding 3 x 10-6 F + 10-6 F gives 4 x 10-6 F
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[answers] => Array
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[0] => Array
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[each_answer] => A. 4 x 10-6 F
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[1] => Array
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[each_answer] => B. 0.1 x 10-6 F
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[2] => Array
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[each_answer] => C. 2 x 10-6 F
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[3] => Array
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[each_answer] => D. 0.5 x 10-6 F
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[quiz_unique_key] => 83407773
[question] => Increasing the separation between the capacitor plates while hooked up to the voltage source will decrease the charge stored for which of the following reasons?
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[answer] => 4
[description] => Reason for the Correct Answer:
The capacitor is hooked up to the voltage source, so the voltage across the plates will remain the same.
The capacitance of a parallel plate capacitor is C=eoA/D
The separation between plates is the variable d, and in the formula : C=eoA/d, as d increases the capacitance decreases.
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[0] => Array
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[each_answer] => A. It increases the capacitance of the capacitor.
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[1] => Array
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[each_answer] => B. It increases the voltage across the capacitor plates.
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[each_answer] => C. It decreases the voltage across the capacitor plates.
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[each_answer] => D. It decreases the capacitance of the capacitor.
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[quiz_unique_key] => 2261298308
[question] => How much energy is stored in the defibrillator ‘s capacitor when it has been fully charged?
[value] => Array
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[answer] => 1
[description] => Reason for the Correct Answer:
The energy stored in a capacitor is E=1/2 CV2.
We’re told that the capacitor is subjected to a voltage of 4000V.
Plug in the capacitance of 10-6 F for C, and the voltage of 4000V for V. Then solve for E to get ½(10-6)(4000V)2 = 8J
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[answers] => Array
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[0] => Array
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[each_answer] => A. 8 J
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[1] => Array
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[each_answer] => B. 2 J
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[2] => Array
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[each_answer] => C. 0.002 J
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[3] => Array
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[each_answer] => D. 10 J
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[quiz_unique_key] => 2377279144
[question] => If you were to connect an additional 10-6 F capacitor in series with the original 10-6 F capacitor in the defibrillator, what would be the new equivalent capacitance?
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[answer] => 2
[description] => Reason for the Correct Answer:
For series capacitors, you can use 1/Ceq = 1/C1 + 1/C2 + … to find the equivalent capacitance.
Don’t forget to take “one over” the value you get from 1/C1 + 1/C2 in order to find the equivalent capacitance.
1/(10-6F) + 1/(10-6F) = 2/(10-6F), and the inverse gives 0.5 x 10-6 F
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[answers] => Array
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[0] => Array
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[each_answer] => A. 2.5 x 10-6 F
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[each_answer] => B. 0.5 x 10-6 F
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[2] => Array
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[each_answer] => C. 7 x 10-6 F
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[3] => Array
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[each_answer] => D. 0.70 x 10-6 F
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