Physics · Capacitors and R-C Circuits

JEE Main 2026 — 22 January, Evening Shift — Question 44

A capacitor PP with capacitance 10×10−6 F10 \times 10^{-6} \mathrm{~F} is fully charged with a potential difference of 6.0 V and disconnected from the battery. The charged capacitor PP is connected across another capacitor QQ with capacitance 20×10−6 F20 \times 10^{-6} \mathrm{~F}. The charge on capacitor QQ when equilibrium is established will be α×10−5C\alpha \times 10^{-5} \mathrm{C} (assume capacitor QQ does not have any charge initially), the value of α\alpha is ____\_\_\_\_。

Answer: 4

Numerical answer — enter this value.

Step-by-step solution

C1=10−5 F\mathrm{C}_{1}=10^{-5} \mathrm{~F} C2=2×10−5 F V2=0\begin{aligned} & \mathrm{C}_{2}=2 \times 10^{-5} \mathrm{~F} & \mathrm{~V}_{2}=0 \end{aligned} V=C1V1+C2V2C1+C2=10−5×6+03×10−5V=\frac{C_{1} V_{1}+C_{2} V_{2}}{C_{1}+C_{2}}=\frac{10^{-5} \times 6+0}{3 \times 10^{-5}} V=2 volt \mathrm{V}=2 \text { volt } Q2=C2V=2×10−5×2=4×10−5CQ_{2}=C_{2} V=2 \times 10^{-5} \times 2=4 \times 10^{-5} \mathrm{C}

figure

figure

Answer key and solution verified before publishing.

Practise Capacitors and R-C Circuits

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Exam
JEE Main 2026
Subject
Physics
Chapter
Capacitors and R-C Circuits
Topic
Combination of Capacitors and Circuit Analysis
A capacitor P with capacitance 10 × 10 -6 F is fully charged with a… | JEE Main 2026 PYQ with Solution · DhiX AI