Q. In a capacitor, if the plate area is increased while keeping the separation constant, what happens to the capacitance?
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
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Solution
Capacitance is directly proportional to the plate area A. Increasing A increases capacitance.
Correct Answer:
A
— It increases
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Q. In a capacitor, what does the dielectric constant represent?
A.
The ability to store charge
B.
The ability to resist electric field
C.
The ability to increase capacitance
D.
The ability to conduct electricity
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Solution
The dielectric constant represents the ability of a material to increase the capacitance of a capacitor compared to a vacuum.
Correct Answer:
C
— The ability to increase capacitance
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Q. In a capacitor, what is the relationship between charge (Q), capacitance (C), and voltage (V)?
A.
Q = C + V
B.
Q = C * V
C.
Q = V / C
D.
Q = C - V
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Solution
The relationship is given by Q = C * V, where Q is the charge, C is the capacitance, and V is the voltage.
Correct Answer:
B
— Q = C * V
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Q. In a circuit, a capacitor is charged and then discharged through a resistor. What is the time constant of the circuit?
A.
RC
B.
C/R
C.
R/C
D.
1/RC
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Solution
The time constant (τ) of an RC circuit is given by τ = R * C.
Correct Answer:
A
— RC
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Q. In a circuit, if a capacitor is fully charged, what is the voltage across it?
A.
Zero
B.
Equal to the source voltage
C.
Half of the source voltage
D.
Double the source voltage
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Solution
When a capacitor is fully charged, the voltage across it is equal to the voltage of the source it was connected to.
Correct Answer:
B
— Equal to the source voltage
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Q. In a circuit, two capacitors of capacitance 2μF and 3μF are connected in parallel. What is the total capacitance?
A.
5μF
B.
6μF
C.
1.2μF
D.
0.6μF
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Solution
The total capacitance C_total in parallel is the sum of individual capacitances: C_total = C1 + C2 = 2μF + 3μF = 5μF.
Correct Answer:
A
— 5μF
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Q. In a circuit, two capacitors of capacitance 3μF and 6μF are connected in parallel. What is the total capacitance?
A.
9μF
B.
2μF
C.
18μF
D.
1μF
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Solution
In parallel, the total capacitance is the sum: C_total = C1 + C2 = 3μF + 6μF = 9μF.
Correct Answer:
A
— 9μF
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Q. In a circuit, two capacitors of capacitance 4μF and 6μF are connected in parallel. What is the total capacitance?
A.
10μF
B.
24μF
C.
2.4μF
D.
0.4μF
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Solution
For capacitors in parallel, the total capacitance is the sum of the individual capacitances: C_total = C1 + C2 = 4μF + 6μF = 10μF.
Correct Answer:
A
— 10μF
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Q. In a parallel combination of capacitors, how is the total capacitance calculated?
A.
C_eq = C1 + C2 + C3
B.
1/C_eq = 1/C1 + 1/C2 + 1/C3
C.
C_eq = 1/(C1 + C2 + C3)
D.
C_eq = C1 * C2 * C3
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Solution
In a parallel combination, the total capacitance is simply the sum of the individual capacitances: C_eq = C1 + C2 + C3.
Correct Answer:
A
— C_eq = C1 + C2 + C3
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Q. In a parallel plate capacitor, if the area of the plates is doubled while keeping the separation constant, what happens to the capacitance?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Capacitance is directly proportional to the area of the plates. Doubling the area will double the capacitance.
Correct Answer:
A
— It doubles
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Q. Two capacitors, C1 = 2μF and C2 = 3μF, are connected in series. What is the equivalent capacitance?
A.
1.2μF
B.
5μF
C.
6μF
D.
0.6μF
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Solution
For capacitors in series, the equivalent capacitance C_eq is given by 1/C_eq = 1/C1 + 1/C2. Thus, 1/C_eq = 1/2 + 1/3 = 5/6, so C_eq = 6/5 = 1.2μF.
Correct Answer:
A
— 1.2μF
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Q. Two capacitors, C1 and C2, are connected in series. What is the equivalent capacitance?
A.
C1 + C2
B.
1 / (1/C1 + 1/C2)
C.
C1 * C2 / (C1 + C2)
D.
C1 - C2
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Solution
The equivalent capacitance of capacitors in series is given by 1 / (1/C1 + 1/C2).
Correct Answer:
B
— 1 / (1/C1 + 1/C2)
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Q. What happens to the capacitance of a capacitor if the dielectric constant is doubled?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
The capacitance C of a capacitor is directly proportional to the dielectric constant k. If k is doubled, C also doubles.
Correct Answer:
A
— It doubles
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Q. What happens to the energy stored in a capacitor if the voltage across it is doubled?
A.
It doubles
B.
It quadruples
C.
It remains the same
D.
It halves
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Solution
The energy stored in a capacitor is given by U = 1/2 C V². If the voltage is doubled, the energy increases by a factor of four.
Correct Answer:
B
— It quadruples
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Q. What happens to the potential difference across a capacitor when it is fully charged?
A.
It becomes zero
B.
It becomes maximum
C.
It becomes minimum
D.
It fluctuates
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Solution
When a capacitor is fully charged, the potential difference across its plates becomes maximum and remains constant until it is discharged.
Correct Answer:
B
— It becomes maximum
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Q. What happens to the voltage across a capacitor when it is fully charged?
A.
It becomes zero
B.
It equals the supply voltage
C.
It becomes negative
D.
It fluctuates
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Solution
When a capacitor is fully charged, the voltage across it equals the supply voltage.
Correct Answer:
B
— It equals the supply voltage
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Q. What is the capacitance of a parallel plate capacitor with area A and separation d?
A.
ε₀ * A / d
B.
A / (ε₀ * d)
C.
d / (ε₀ * A)
D.
ε₀ * d / A
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Solution
The capacitance C of a parallel plate capacitor is given by the formula C = ε₀ * A / d, where ε₀ is the permittivity of free space.
Correct Answer:
A
— ε₀ * A / d
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Q. What is the capacitance of a parallel plate capacitor with plate area A and separation d?
A.
ε₀A/d
B.
d/ε₀A
C.
A/ε₀d
D.
ε₀d/A
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Solution
The capacitance C of a parallel plate capacitor is given by the formula C = ε₀A/d, where ε₀ is the permittivity of free space.
Correct Answer:
A
— ε₀A/d
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Q. What is the effect of increasing the plate area of a capacitor on its capacitance?
A.
Capacitance increases
B.
Capacitance decreases
C.
Capacitance remains the same
D.
Capacitance becomes zero
Show solution
Solution
Increasing the plate area A of a capacitor increases its capacitance, as C is directly proportional to A.
Correct Answer:
A
— Capacitance increases
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Q. What is the effect of increasing the plate area of a parallel plate capacitor?
A.
Capacitance decreases
B.
Capacitance increases
C.
Capacitance remains the same
D.
Capacitance becomes zero
Show solution
Solution
Increasing the plate area A of a parallel plate capacitor increases its capacitance, as C = ε₀ * A / d.
Correct Answer:
B
— Capacitance increases
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Q. What is the effect of inserting a dielectric material between the plates of a capacitor?
A.
Increases capacitance
B.
Decreases capacitance
C.
No effect on capacitance
D.
Changes the voltage across the plates
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Solution
Inserting a dielectric material increases the capacitance of the capacitor by a factor equal to the dielectric constant of the material.
Correct Answer:
A
— Increases capacitance
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Q. What is the effect of temperature on the capacitance of a capacitor?
A.
Increases capacitance
B.
Decreases capacitance
C.
No effect
D.
Depends on the dielectric
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Solution
The effect of temperature on capacitance depends on the dielectric material used in the capacitor.
Correct Answer:
D
— Depends on the dielectric
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Q. What is the energy stored in a capacitor of capacitance C charged to a voltage V?
A.
1/2 CV
B.
CV
C.
1/2 C/V
D.
C/V
Show solution
Solution
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV².
Correct Answer:
A
— 1/2 CV
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Q. What is the energy stored in a capacitor with capacitance C charged to a voltage V?
A.
1/2 CV²
B.
CV
C.
1/2 V²/C
D.
C²V
Show solution
Solution
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV².
Correct Answer:
A
— 1/2 CV²
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Q. What is the energy stored in a capacitor with capacitance C charged to voltage V?
A.
1/2 CV
B.
CV
C.
1/2 C/V
D.
C/V
Show solution
Solution
The energy (U) stored in a capacitor is given by the formula U = 1/2 CV².
Correct Answer:
A
— 1/2 CV
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Q. What is the unit of capacitance?
A.
Farad
B.
Coulomb
C.
Volt
D.
Ohm
Show solution
Solution
The unit of capacitance is the Farad (F), which is defined as one coulomb per volt.
Correct Answer:
A
— Farad
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Showing 31 to 56 of 56 (2 Pages)
Capacitance MCQ & Objective Questions
Understanding capacitance is crucial for students preparing for school and competitive exams in India. This fundamental concept in physics not only appears frequently in objective questions but also helps in building a strong foundation for advanced topics. Practicing MCQs and objective questions on capacitance can significantly enhance your exam preparation, ensuring you are well-equipped to tackle important questions with confidence.
What You Will Practise Here
Definition and significance of capacitance
Types of capacitors and their applications
Key formulas related to capacitance, including capacitance in series and parallel
Energy stored in a capacitor and its derivation
Factors affecting capacitance
Diagrams illustrating capacitor configurations
Real-life applications of capacitors in circuits
Exam Relevance
Capacitance is a vital topic in various examinations such as CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of the basic principles of capacitance, as well as its applications in electrical circuits. Common question patterns include numerical problems, conceptual questions, and diagram-based queries, making it essential to grasp both theory and practical applications.
Common Mistakes Students Make
Confusing the units of capacitance (farads) with other electrical units
Misunderstanding the difference between series and parallel combinations of capacitors
Overlooking the effect of dielectric materials on capacitance
Failing to apply the correct formula in numerical problems
Neglecting to analyze circuit diagrams properly before answering questions
FAQs
Question: What is capacitance?Answer: Capacitance is the ability of a system to store an electric charge, defined as the ratio of the electric charge on each conductor to the potential difference between them.
Question: How do capacitors affect circuit performance?Answer: Capacitors can store and release energy, which helps in smoothing out voltage fluctuations and improving the overall performance of electrical circuits.
Now that you have a clear understanding of capacitance and its significance, it’s time to put your knowledge to the test! Solve practice MCQs and objective questions to solidify your understanding and excel in your exams. Remember, consistent practice is the key to success!
