JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 5 April 2024, Shift 1, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

Three capacitors of capacitances

25\ \mu\mathrm{F}

30\ \mu\mathrm{F}

and

45\ \mu\mathrm{F}

are connected in parallel to a supply of 100 V. Energy stored in the above combination is E. When these capacitors are connected in series to the same supply, the stored energy is

\frac{9}{x}E

. The value of

x

is ________.

Official answer

NTA final key.

Chapter: Electrostatic Potential and Capacitance
Topic: Parallel Plate Capacitors
Idea tested: Series and Parallel Combinations

Same idea in other shifts

Asked 17× in all

4 Apr 2026, Shift 2 · Q37From the circuit given below, the capacitance between terminals $A$ and $B$ shown in the circuit is ________ $\mu$ F. (take…MediumDiagram basedHas a figure
9 Apr 2024, Shift 1 · Q40A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each…MediumSingle correctHas a figure
6 Apr 2023, Shift 2 · Q59As shown in the figure, two parallel plate capacitors having equal plate area of 200 cm $^2$ are joined in such a way that $a \neq b$ . The…MediumNumerical valueHas a figure
10 Apr 2023, Shift 1 · Q41The equivalent capacitance of the combination shown isMediumDiagram basedHas a figure
11 Apr 2023, Shift 2 · Q60In the given circuit, $\mathrm{C_1 = 2\ \mu F, C_2 = 0.2\ \mu F, C_3 = 2\ \mu F, C_4 = 4\ \mu F, C_5 = 2\ \mu F, C_6 = 2\ \mu F}$ , The…HardNumerical valueHas a figure
15 Apr 2023, Shift 1 · Q55In the given figure the total charge stored in the combination of capacitors is 100 $\mu$ C. The value of ' $x$ ' is ______________.EasyNumerical valueHas a figure
26 Jul 2022, Shift 1 · Q41The total charge on the system of capacitors $C_1 = 1\ \mu$ F, $C_2 = 2\ \mu$ F, $C_3 = 4\ \mu$ F and $C_4 = 3\ \mu$ F connected in parallel…EasySingle correct
30 Jul 2022, Shift 2 · Q25Combination of four parallel plate air capacitors is shown in figure. Separation between the plate P $_1$ & P $_2$ is $\frac{d}{3}$ and…MediumNumerical valueHas a figure

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.