
- In the figure, and . The applied potential is . The equivalent capacitance of the network between points and is . Calculate the value of .

Answer
139.8k+ views
Hint: The equivalent capacitance in the circuit when capacitors are parallel to each other is calculated by –
And the equivalent capacitance in the circuit when capacitors are in series with each other is calculated by –
where, is the number capacitors.
Then, find the equivalent capacitance and multiply it by .
Complete step by step solution:
The circuit which has two or more electrical devices connected with it, then, there are many other ways by which we can connect them. They can either be series or parallel.
The circuit is said to be in series when two components in the circuit have a common node and the current which flows through all the components in the circuit is the same. In these types of circuits, there is only one path for the current. When the capacitors are connected in series, the equivalent capacitance is less than any one of the series capacitor’s individual response. The equivalent capacitance in series can be calculated by –
The circuit is said to be parallel when there are multiple paths for the current to flow. In this type of circuit, all components have the same voltage across all ends. The equivalent capacitance in parallel can be calculated by –
Now, according to the question, it is given that –
Now, the equivalent capacitance between and are in series, so the equivalent capacitance is –
Putting the values in above formula –
So, the circuit can be drawn as –

The capacitors and are parallel to each other so, the equivalent capacitance is –

Now, the equivalent capacitance can be calculated by –
By further solving, we get –
To calculate we have to multiply the equivalent capacitance by , we get –
Hence, the value of in the circuit is .
Note: When the capacitors are connected in series, the equivalent capacitance is less than any one of the series capacitor’s individual response. When the capacitors are in parallel with each other, then, the overall effect is that of a single equivalent capacitor having the sum total of the plate areas of the individual capacitors.
And the equivalent capacitance in the circuit when capacitors are in series with each other is calculated by –
where,
Then, find the equivalent capacitance and multiply it by
Complete step by step solution:
The circuit which has two or more electrical devices connected with it, then, there are many other ways by which we can connect them. They can either be series or parallel.
The circuit is said to be in series when two components in the circuit have a common node and the current which flows through all the components in the circuit is the same. In these types of circuits, there is only one path for the current. When the capacitors are connected in series, the equivalent capacitance is less than any one of the series capacitor’s individual response. The equivalent capacitance in series can be calculated by –
The circuit is said to be parallel when there are multiple paths for the current to flow. In this type of circuit, all components have the same voltage across all ends. The equivalent capacitance in parallel can be calculated by –
Now, according to the question, it is given that –
Now, the equivalent capacitance between
Putting the values in above formula –
So, the circuit can be drawn as –

The capacitors

Now, the equivalent capacitance can be calculated by –
By further solving, we get –
To calculate
Hence, the value of
Note: When the capacitors are connected in series, the equivalent capacitance is less than any one of the series capacitor’s individual response. When the capacitors are in parallel with each other, then, the overall effect is that of a single equivalent capacitor having the sum total of the plate areas of the individual capacitors.
Latest Vedantu courses for you
Grade 8 | CBSE | SCHOOL | English
Vedantu 8 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹42,500 per year
EMI starts from ₹3,541.67 per month
Recently Updated Pages
Average fee range for JEE coaching in India- Complete Details

Difference Between Rows and Columns: JEE Main 2024

Difference Between Length and Height: JEE Main 2024

Difference Between Natural and Whole Numbers: JEE Main 2024

Algebraic Formula

Difference Between Constants and Variables: JEE Main 2024

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

A point charge + 20mu C is at a distance 6cm directly class 12 physics JEE_Main

Learn About Angle Of Deviation In Prism: JEE Main Physics 2025

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

JEE Main 2025: Conversion of Galvanometer Into Ammeter And Voltmeter in Physics

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

Degree of Dissociation and Its Formula With Solved Example for JEE

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Dual Nature of Radiation and Matter Class 12 Notes: CBSE Physics Chapter 11

Formula for number of images formed by two plane mirrors class 12 physics JEE_Main

A conducting loop carrying a current is placed in a class 12 physics JEE_Main
