The equivalent capacitance of the combination shown in the figure is
\(\frac{3C}{2}\)
3C
2C
\(\frac{C}{2}\)
The Correct Option is C
Solution and Explanation
To find the equivalent capacitance of the given combination, we will analyze the arrangement of capacitors shown in the image.
In the diagram, we have:
- Two capacitors \( C \) in parallel with each other.
- These parallel capacitors are in series with another capacitor \( C \).
Let's calculate the equivalent capacitance of the system.
Step 1: Calculate the capacitance for the parallel arrangement
The formula for the equivalent capacitance \( C_p \) for capacitors in parallel is:
\(C_p = C_1 + C_2\)
Thus, for the two capacitors in parallel:
\(C_p = C + C = 2C\)
Step 2: Calculate the total capacitance with the series capacitor
The formula for the equivalent capacitance \( C_s \) for capacitors in series is:
\(\frac{1}{C_s} = \frac{1}{C_p} + \frac{1}{C_3}\)
Substitute the given values:
\(\frac{1}{C_s} = \frac{1}{2C} + \frac{1}{C}\)
\(\frac{1}{C_s} = \frac{1 + 2}{2C} = \frac{3}{2C}\)
Thus, \(C_s = \frac{2C}{3}\)
Conclusion
The equivalent capacitance of the combination is \(C_s = 2C\). Therefore, the correct answer is \(2C\).
Top NEET Physics Questions
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
- NEET (UG) - 2025
- Physics
- Current electricity
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
- NEET (UG) - 2025
- Physics
- Electromagnetic Induction and Inductance
- The kinetic energies of two similar cars A and B are 100 J and 225 J respectively. On applying brakes, car A stops after 1000 m and car B stops after 1500 m. If \(F_A\) and \(F_B\) are the forces applied by the brakes on cars A and B, respectively, then the ratio \( \frac{F_A}{F_B} \) is:
- NEET (UG) - 2025
- Physics
- Work and Kinetic Energy
A full wave rectifier circuit with diodes (\(D_1\)) and (\(D_2\)) is shown in the figure. If input supply voltage \(V_{in} = 220 \sin(100 \pi t)\) volt, then at \(t = 15\) msec:
- NEET (UG) - 2025
- Physics
- Semiconductor Diode
- A microscope has an objective of focal length \(f_o = 2\) cm and an eyepiece of focal length \(f_e = 4\) cm. The tube length of the microscope is \(L = 40\) cm. If the distance of distinct vision of eye is \(D = 25\) cm, the magnification in the microscope is:
- NEET (UG) - 2025
- Physics
- Optical Instruments
Top NEET Ray optics and optical instruments Questions
- Given below are two statements:
Statement 1: Image formation needs regular reflection and/or refraction.
Statement 2: The variety in colour of objects we see around us is due to the constituent colours of the light incident on them.
In the light of the above statements, choose the most appropriate answer from the options given below :- NEET (UG) - 2024
- Physics
- Ray optics and optical instruments
Light travels a distance x in time t1 in air and 10x in time t2 in another denser medium. What is the critical angle for this medium?
- NEET (UG) - 2023
- Physics
- Ray optics and optical instruments
- A biconvex lens has radii of curvature, 20 cm each. If the refractive index of the material of the lens is 1.5, the power of the lens is:
- NEET (UG) - 2023
- Physics
- Ray optics and optical instruments
- Two thin lenses are of same focal length (f), but one is convex and the other is concave. When they are placed in opposite with each other, the equivalent focal of the combination will be:
- NEET (UG) - 2023
- Physics
- Ray optics and optical instruments
- A convex lens ‘A’ of focal length 20 cm and a concave lens ‘B’ of focal length 5 cm are kept along the same axis with a distance ‘d’ between them. If a parallel beam of light falling on ‘A’ leaves ‘B’ as a parallel beam, then the distance ‘d’ in cm will be
- NEET (UG) - 2021
- Physics
- Ray optics and optical instruments
Top NEET Questions
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
- NEET (UG) - 2025
- Current electricity
- Frogs respire in water by skin and buccal cavity and on land by skin, buccal cavity and lungs.
- NEET (UG) - 2025
- Animal Physiology
Which of the following statements are true?
A. Unlike Ga that has a very high melting point, Cs has a very low melting point.
B. On Pauling scale, the electronegativity values of N and C are not the same.
C. $Ar, K^{+}, Cl^{–}, Ca^{2+} and S^{2–}$ are all isoelectronic species.
D. The correct order of the first ionization enthalpies of Na, Mg, Al, and Si is Si $>$ Al $>$ Mg $>$ Na.
E. The atomic radius of Cs is greater than that of Li and Rb.
Choose the correct answer from the options given below:- NEET (UG) - 2025
- Inorganic chemistry
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
- NEET (UG) - 2025
- Electromagnetic Induction and Inductance
- The kinetic energies of two similar cars A and B are 100 J and 225 J respectively. On applying brakes, car A stops after 1000 m and car B stops after 1500 m. If \(F_A\) and \(F_B\) are the forces applied by the brakes on cars A and B, respectively, then the ratio \( \frac{F_A}{F_B} \) is:
- NEET (UG) - 2025
- Work and Kinetic Energy
Concepts Used:
Combination of Capacitors
The total capacitance of this equivalent single capacitor depends both on the individual capacitors and how they are connected. There are two simple and common types of connections, called series and parallel, for which we can easily calculate the total capacitance.
Read Also: Combination of Capacitors
Series capacitors
When one terminal of a capacitor is connected to the terminal of another capacitors , called series combination of capacitors.
Capacitors in Parallel
Capacitors can be connected in two types which are in series and in parallel. If capacitors are connected one after the other in the form of a chain then it is in series. In series, the capacitance is less.
When the capacitors are connected between two common points they are called to be connected in parallel.
When the plates are connected in parallel the size of the plates gets doubled, because of that the capacitance is doubled. So in a parallel combination of capacitors, we get more capacitance.
Read More: Types of Capacitors