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Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?
  • a)
    The Mylar capacitors store 1/30 times as much charge as the air capacitors.
  • b)
    The Mylar capacitors store 3 times as much charge as the air capacitors.
  • c)
    The Mylar capacitors store 30 times as much charge as the air capacitors.
  • d)
    The Mylar capacitors store 1/3 times as much charge as the air capacitors.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Four capacitors of 10 pF are connected in parallel with two of the cap...
Explanation:

Calculating the charge stored on capacitors:
- The charge stored on a capacitor is given by the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage applied.
- Since all four capacitors are connected in parallel, the total capacitance of the circuit is the sum of the individual capacitances, which is 40 pF.

Calculating the charge stored on Mylar capacitors:
- For the Mylar capacitors, the dielectric constant (κ) is 3, so the capacitance is increased by a factor of 3.
- Therefore, the capacitance of each Mylar capacitor is 3 * 10 pF = 30 pF.
- The total capacitance of the two Mylar capacitors is 60 pF.
- Using the formula Q = CV, the charge stored on the Mylar capacitors is Q = 60 pF * 40 V = 2400 pC.

Calculating the charge stored on air capacitors:
- For the air capacitors, the capacitance remains at 10 pF each.
- The total capacitance of the two air capacitors is 20 pF.
- Using the formula Q = CV, the charge stored on the air capacitors is Q = 20 pF * 40 V = 800 pC.

Conclusion:
- Comparing the charge stored on the Mylar capacitors (2400 pC) with the charge stored on the air capacitors (800 pC), we can see that the Mylar capacitors store 3 times as much charge as the air capacitors.
- Therefore, the correct answer is option B.
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Community Answer
Four capacitors of 10 pF are connected in parallel with two of the cap...
  • Dielectrics help increase the capacitance of the capacitor, allowing additional charge to be stored on the capacitor.
  • Capacitance increases by the dielectric constant as: Cnew = C*K. Given C = ε0A/d and Q = CV, we can have the modified Q = Kε0 AV/d for a capacitor with a dielectric.
  • The Mylar capacitors store 3 times as much charge as the air capacitors.
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Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer?
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Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer? for MCAT 2024 is part of MCAT preparation. The Question and answers have been prepared according to the MCAT exam syllabus. Information about Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for MCAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for MCAT. Download more important topics, notes, lectures and mock test series for MCAT Exam by signing up for free.
Here you can find the meaning of Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Four capacitors of 10 pF are connected in parallel with two of the capacitors having a Mylar dielectric (κ = 3) of thickness L inserted and two capacitors only separated by air at a distance L. A voltage potential of 40 V is applied across the circuit. How does the charge stored on the capacitors differ between the capacitors with the Mylar and without?a)The Mylar capacitors store 1/30 times as much charge as the air capacitors.b)The Mylar capacitors store 3 times as much charge as the air capacitors.c)The Mylar capacitors store 30 times as much charge as the air capacitors.d)The Mylar capacitors store 1/3 times as much charge as the air capacitors.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice MCAT tests.
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