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What charge appears on capacitor B a long time after the switch is closed if capacitor A has a charge q and capacitor B is initially uncharged?
What charge appears on capacitor B a long time after the switch is closed if capacitor A has a charge q and capacitor B is initially uncharged?
When the positive ends of two identical capacitors charged to potentials V1 and V2 are connected, what is the expression for the decrease in energy of the system?
When the positive ends of two identical capacitors charged to potentials V1 and V2 are connected, what is the expression for the decrease in energy of the system?
How does the charging graph of a capacitor change if the resistance is doubled from X to 2X?
How does the charging graph of a capacitor change if the resistance is doubled from X to 2X?
For a parallel plate capacitor with a dielectric constant of K = 2 and a plate separation d, what happens to the electric field inside the capacitor when the dielectric is introduced?
For a parallel plate capacitor with a dielectric constant of K = 2 and a plate separation d, what happens to the electric field inside the capacitor when the dielectric is introduced?
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What is the total energy stored in two identical capacitors charged to V1 and V2 before they are connected together?
What is the total energy stored in two identical capacitors charged to V1 and V2 before they are connected together?
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What occurs at the positive terminal of the cell when it is in operation?
What occurs at the positive terminal of the cell when it is in operation?
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When a dielectric slab is pulled out of a parallel plate capacitor, what happens to the capacitance?
When a dielectric slab is pulled out of a parallel plate capacitor, what happens to the capacitance?
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What is the total charge in a given series combination as mentioned?
What is the total charge in a given series combination as mentioned?
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What is the potential difference across the plates of capacitor C1?
What is the potential difference across the plates of capacitor C1?
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In a parallel plate capacitor with a dielectric constant K inserted, what is the effect on energy stored?
In a parallel plate capacitor with a dielectric constant K inserted, what is the effect on energy stored?
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What is the potential difference across capacitor C2 in the combination?
What is the potential difference across capacitor C2 in the combination?
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What happens to the potential difference across the capacitor plates as the dielectric slab is removed?
What happens to the potential difference across the capacitor plates as the dielectric slab is removed?
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What is the potential difference across the plates of capacitor C3 as specified?
What is the potential difference across the plates of capacitor C3 as specified?
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What is the largest value of the initial velocity of the electron that prevents it from flying out of the capacitor?
What is the largest value of the initial velocity of the electron that prevents it from flying out of the capacitor?
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What is the final charge on capacitor A after the circuit is completed with capacitor C?
What is the final charge on capacitor A after the circuit is completed with capacitor C?
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How does the thickness of the dielectric slab affect the electric field in a parallel plate capacitor?
How does the thickness of the dielectric slab affect the electric field in a parallel plate capacitor?
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What happens to the electric potential as you move from x=0 to x=3d in the presence of the dielectric slab?
What happens to the electric potential as you move from x=0 to x=3d in the presence of the dielectric slab?
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If S1 and S2 are closed, what will be the voltage V1?
If S1 and S2 are closed, what will be the voltage V1?
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What is the electric potential across capacitor B before connecting capacitor C?
What is the electric potential across capacitor B before connecting capacitor C?
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With a dielectric slab inserted, how does the electric field behave in the capacitor?
With a dielectric slab inserted, how does the electric field behave in the capacitor?
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Which statement about the voltages V1 and V2 is true when the switch S3 is closed?
Which statement about the voltages V1 and V2 is true when the switch S3 is closed?
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What is the equivalent capacitance (Ceq) of the given capacitors in series?
What is the equivalent capacitance (Ceq) of the given capacitors in series?
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What is the total charge stored in the series combination of capacitors?
What is the total charge stored in the series combination of capacitors?
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What is the potential difference across capacitor C1?
What is the potential difference across capacitor C1?
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Calculate the potential difference across capacitor C2.
Calculate the potential difference across capacitor C2.
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If the equivalent capacitance of the circuit is 20 μF, what is the potential difference in relation to the total charge?
If the equivalent capacitance of the circuit is 20 μF, what is the potential difference in relation to the total charge?
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What is the sum of the voltage drops across all capacitors in the series?
What is the sum of the voltage drops across all capacitors in the series?
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Which of the following statements about capacitance in series is true?
Which of the following statements about capacitance in series is true?
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What is the charge on capacitor A before it is connected to an uncharged capacitor?
What is the charge on capacitor A before it is connected to an uncharged capacitor?
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What charge flows until a steady state is reached when capacitors A and B are connected?
What charge flows until a steady state is reached when capacitors A and B are connected?
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What is the electrostatic energy stored before completing the circuit?
What is the electrostatic energy stored before completing the circuit?
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What is the final charge on capacitor A after the connection is made?
What is the final charge on capacitor A after the connection is made?
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What is the initial charge on capacitor B before it connects to capacitor A?
What is the initial charge on capacitor B before it connects to capacitor A?
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Which of the following expressions calculates the total electrostatic energy after the circuit is complete?
Which of the following expressions calculates the total electrostatic energy after the circuit is complete?
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What is the relationship between charge and capacitance when a dielectric is introduced?
What is the relationship between charge and capacitance when a dielectric is introduced?
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Which equation represents the potential energy of a capacitor?
Which equation represents the potential energy of a capacitor?
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If the charge on a capacitor is given as $Q_0 = CV_0$, what would the charge after introducing a dielectric be?
If the charge on a capacitor is given as $Q_0 = CV_0$, what would the charge after introducing a dielectric be?
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If the capacitance of a capacitor is 50 pF, what would be the voltage if the charge is 0.5 nC?
If the capacitance of a capacitor is 50 pF, what would be the voltage if the charge is 0.5 nC?
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What happens to the potential difference across a capacitor when the charge is doubled?
What happens to the potential difference across a capacitor when the charge is doubled?
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In a circuit where charge $Q_1$ divides into $C_2$ and $C_3$, what is the relationship expressed as $Q_1 = Q_2 + Q_3$?
In a circuit where charge $Q_1$ divides into $C_2$ and $C_3$, what is the relationship expressed as $Q_1 = Q_2 + Q_3$?
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What does $K$ represent in the capacitance equation when a dielectric is present?
What does $K$ represent in the capacitance equation when a dielectric is present?
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Using the equation $V = Q / C$, what would be the effect of increasing capacitance on voltage for a constant charge?
Using the equation $V = Q / C$, what would be the effect of increasing capacitance on voltage for a constant charge?
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Study Notes
Capacitance DPP-14
- Problem 1: An electron moves between parallel capacitor plates. Calculate the maximum velocity of the electron so it does not exit the capacitor.
- Given Data: Plates are 2 x 10⁻² m apart and 10⁻¹ m long, potential difference is 300 V, mass of electron = 9 x 10⁻³¹ kg.
- Problem 2: Two capacitors (3 µF and 2 µF) charged to 100 V and 180 V respectively are connected in series with an uncharged 2 µF capacitor. Calculate the final charge and energy before and after the connection of the uncharged capacitor.
- Problem 3: A dielectric slab is inserted in a parallel plate capacitor. The electric field and potential along the slab are examined.
- Options: (A) Magnitude of electric field remains the same, (B) Direction of electric field remains the same, (C) Electric potential increases continuously, (D) Electric potential increases first then decreases.
- Problem 4: Analyze a circuit with capacitors and switches. Determine the correct voltage statements for different switch configurations.
- Options: (A) With switch S₁ closed, V₁ = 15 V, V₂ = 20 V, (B) With switch S₃ closed, V₁ = V₂ = 25 V, (C) With switch S₁ and S₂ closed, V₁ = V₂ = 0, (D) With switch S₁ and S₂ closed, V₁ = 30 V, V₂ = 20 V
- Problem 5: A capacitor A with charge q is connected to an uncharged capacitor B. Calculate the charge on capacitor B after a long time.
- Options: (A) 0, (B) q/2, (C) q, (D) 2 q
- Problem 6: Two capacitors with potential differences V₁ and V₂ are connected. What is the energy loss in the combined system?
- Options: (A) (1/4)C (V₁-V₂)², (B) (1/4)C(V₁+V₂)², (C) (1/2)C(V²₁-V²₂), (D) (1/C)(V₁²-V₂²)
- Problem 6: Find the graphs of capacitor charging with different resistance values.
Additional Problems
- Problem 7: A parallel plate capacitor, filled with a liquid dielectric, has its level decreasing at a constant speed. Find the time constant as a function of time.
- Problem 9: A capacitor charged to potential V₀ is repeatedly charged and discharged. What is the capacitance of the larger capacitor?
- Problem 10: A cube of capacitors are connected. Calculate the equivalent capacitance between two points A and B
- Problem 11: A parallel plate capacitor has a metal plate added. What is the new capacitance?
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Description
Test your understanding of capacitors, their charges, and energy dynamics in electrical circuits. This quiz covers various topics such as dielectric effects, energy storage, and the behavior of capacitors when connected in series or parallel. Perfect for students of physics or engineering.
