1
JEE Main 2025 (Online) 3rd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A parallel plate capacitor is filled equally(half) with two dielectrics of dielectric constants $\varepsilon_1$ and $\varepsilon_2$, as shown in figures. The distance between the plates is $d$ and area of each plate is $A$. If capacitance in first configuration and second configuration are $\mathrm{C}_1$ and $\mathrm{C}_2$ respectively, then $\frac{C_1}{C_2}$ is:

First Configuration

JEE Main 2025 (Online) 3rd April Morning Shift Physics - Capacitor Question 4 English 1

Second Configuration

JEE Main 2025 (Online) 3rd April Morning Shift Physics - Capacitor Question 4 English 2

A
$\frac{\varepsilon_0\left(\varepsilon_1+\varepsilon_2\right)}{2}$
B
$\frac{\varepsilon_1 \varepsilon_2^2}{\left(\varepsilon_1+\varepsilon_2\right)^2}$
C
$\frac{4 \varepsilon_1 \varepsilon_2}{\left(\varepsilon_1+\varepsilon_2\right)^2}$
D
$\frac{\varepsilon_1 \varepsilon_2}{\varepsilon_1+\varepsilon_2}$
2
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A capacitor, $C_1 = 6 \mu F$ is charged to a potential difference of $V_0 = 5V$ using a 5V battery. The battery is removed and another capacitor, $C_2 = 12 \mu F$ is inserted in place of the battery. When the switch 'S' is closed, the charge flows between the capacitors for some time until equilibrium condition is reached. What are the charges ($q_1$ and $q_2$) on the capacitors $C_1$ and $C_2$ when equilibrium condition is reached.

JEE Main 2025 (Online) 29th January Evening Shift Physics - Capacitor Question 16 English
A

$q_1 = 10 \mu C, \ q_2 = 20 \mu C$

B

$q_1 = 15 \mu C, \ q_2 = 30 \mu C$

C

$q_1 = 20 \mu C, \ q_2 = 10 \mu C$

D

$q_1 = 30 \mu C, \ q_2 = 15 \mu C$

3
JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A parallel plate capacitor of capacitance 1 µF is charged to a potential difference of 20 V. The distance between plates is 1 µm. The energy density between plates of capacitor is :

A

$1.8 \times 10^3$ J/m3

B

$2 \times 10^2$ J/m3

C

$2 \times 10^{-4}$ J/m3

D

$1.8 \times 10^5$ J/m3

4
JEE Main 2025 (Online) 28th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are connected in parallel to a battery. Charge-time graph is shown below for the two capacitors. The energy stored with them are $\mathrm{U}_1$ and $\mathrm{U}_2$, respectively. Which of the given statements is true?

JEE Main 2025 (Online) 28th January Morning Shift Physics - Capacitor Question 7 English

A
$\mathrm{C}_2>\mathrm{C}_1, \mathrm{U}_2>\mathrm{U}_1$
B
$\mathrm{C}_1>\mathrm{C}_2, \mathrm{U}_1>\mathrm{U}_2$
C
$\mathrm{C}_2>\mathrm{C}_1, \mathrm{U}_2<\mathrm{U}_1$
D
$\mathrm{C}_1>\mathrm{C}_2, \mathrm{U}_1<\mathrm{U}_2$
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