Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be:
- 4:01
- 2:01
- 1:04
- 1:02
The Correct Option is C
Solution and Explanation
$\frac{1}{C_{eq_1}} = \frac{1}{C} + \frac{1}{C} $
$\Rightarrow C_{eq_1} = \frac{C}{2}$
For parallel combination
$C_{eq_2} = C + C$
$\Rightarrow C_{eq_2} = 2C$
$\Rightarrow \frac{C_{eq_1}}{eq_2} =\frac{C/2}{2C}= \frac{1}{4} = 1 : 4$
Top Questions on electrostatic potential and capacitance
- A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is:
- JEE Main - 2025
- Physics
- electrostatic potential and capacitance
- Two capacitors \( C_1 \) and \( C_2 \) are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are \( U_1 \) and \( U_2 \), respectively. Which of the given statements is true?
- JEE Main - 2025
- Physics
- electrostatic potential and capacitance
- Three infinitely long wires with linear charge density \( \lambda \) are placed along the x-axis, y-axis and z-axis respectively. Which of the following denotes an equipotential surface?
- JEE Main - 2025
- Physics
- electrostatic potential and capacitance
Arrange the following in the ascending order of wavelength (\( \lambda \)):
(A) Microwaves (\( \lambda_1 \))
(B) Ultraviolet rays (\( \lambda_2 \))
(C) Infrared rays (\( \lambda_3 \))
(D) X-rays (\( \lambda_4 \))
Choose the most appropriate answer from the options given below:- JEE Main - 2025
- Physics
- electrostatic potential and capacitance
The output of the circuit is low (zero) for:
(A) \( X = 0, Y = 0 \)
(B) \( X = 0, Y = 1 \)
(C) \( X = 1, Y = 0 \)
(D) \( X = 1, Y = 1 \)
Choose the correct answer from the options given below:- JEE Main - 2025
- Physics
- electrostatic potential and capacitance
Questions Asked in JEE Main exam
- If \[ \sum_{r=1}^{13} \frac{1}{\sin \frac{\pi}{4} + (r-1) \frac{\pi}{6}} \sin \frac{\pi}{4} + \frac{\pi}{6} = a \sqrt{3} + b, \quad a, b \in \mathbb{Z}, { then } a^2 + b^2 { is equal to:} \]
- JEE Main - 2025
- Trigonometry
- Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Refractive index of glass is more than air.
Reason (R): Optical density of a medium is directly related to its mass density.
In the light of the above statements, choose the correct answer from the options given below.- JEE Main - 2025
- Refractive index
- Ice at \( -5^\circ C \) is heated to become vapor with temperature of \( 110^\circ C \) at atmospheric pressure. The entropy change associated with this process can be obtained from:
- JEE Main - 2025
- Thermodynamics
A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field \( B \) exists into the page. The bar starts to move from the vertex at time \( t = 0 \) with a constant velocity. If the induced EMF is \( E \propto t^n \), then the value of \( n \) is _____.
- JEE Main - 2025
- Magnetic Field
- Concentrated nitric acid is labelled as 75%by mass. The volume in mL of the solution which contains 30 g of nitric acid is: Given: Density of nitric acid solution is 1.25 g/mL.
- JEE Main - 2025
- Solutions