Verified Solution • 2025–26 Session moderate

QPages 165-170: Q64: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q64 Solution: An air-filled parallel-plate capacitor is to be constructed…

An air-filled parallel-plate capacitor is to be constructed which can store 12 �C of charge when operated at 1200 V. What can be the minimum plate area of the capacitor? The dielectric strength of air is 3×106 V m−13 \times 10^6 \text{ V m}^{-1}.

Step-by-Step Verified Solution

**Answer:** A=4.8×10−2A = 4.8 \times 10^{-2} m_. **Step-by-Step Explanation:** Q=12Q = 12 _C, V=1200V = 1200 V, Emax=3×106E_{max} = 3 \times 10^6 V/m.
d=V/Emax=1200/(3×106)=4×10−4 md = V/E_{max} = 1200/(3 \times 10^6) = 4 \times 10^{-4} \text{ m}
C=Q/V=12×10−6/1200=10−8 FC = Q/V = 12 \times 10^{-6}/1200 = 10^{-8} \text{ F}
A=Cdϵ0=10−8×4×10−48.854×10−12=4.8×10−2 m2A = \frac{Cd}{\epsilon_0} = \frac{10^{-8} \times 4 \times 10^{-4}}{8.854 \times 10^{-12}} = 4.8 \times 10^{-2} \text{ m}^2

All Questions in this Chapter

QPage 163: Q1 QPage 163: Q2 QPage 163: Q3 QPage 163: Q4 QPage 163: Q5 QPage 163: Q6 QPage 163: Q7 QPage 164: Q1 QPage 164: Q2 QPage 164: Q3 QPage 164: Q4 QPage 164: Q5 QPage 164: Q6 QPage 164: Q7 QPage 164: Q8 QPage 164: Q9 QPage 164: Q10 QPage 164: Q11 QPage 164: Q12 QPages 164-165: Q1 QPages 164-165: Q2 QPages 164-165: Q3 QPages 164-165: Q4 QPages 164-165: Q5 QPages 164-165: Q6 QPages 164-165: Q7 QPages 165-170: Q1 QPages 165-170: Q2 QPages 165-170: Q3 QPages 165-170: Q4 QPages 165-170: Q5 QPages 165-170: Q6 QPages 165-170: Q7 QPages 165-170: Q8 QPages 165-170: Q9 QPages 165-170: Q10 QPages 165-170: Q11 QPages 165-170: Q12 QPages 165-170: Q13 QPages 165-170: Q14 QPages 165-170: Q15 QPages 165-170: Q16 QPages 165-170: Q17 QPages 165-170: Q18 QPages 165-170: Q19 QPages 165-170: Q20 QPages 165-170: Q21 QPages 165-170: Q22 QPages 165-170: Q23 QPages 165-170: Q24 QPages 165-170: Q25 QPages 165-170: Q26 QPages 165-170: Q27 QPages 165-170: Q28 QPages 165-170: Q29 QPages 165-170: Q30 QPages 165-170: Q31 QPages 165-170: Q32 QPages 165-170: Q33 QPages 165-170: Q34 QPages 165-170: Q35 QPages 165-170: Q36 QPages 165-170: Q37 QPages 165-170: Q38 QPages 165-170: Q39 QPages 165-170: Q40 QPages 165-170: Q41 QPages 165-170: Q42 QPages 165-170: Q43 QPages 165-170: Q44 QPages 165-170: Q45 QPages 165-170: Q46 QPages 165-170: Q47 QPages 165-170: Q48 QPages 165-170: Q49 QPages 165-170: Q50 QPages 165-170: Q51 QPages 165-170: Q52 QPages 165-170: Q53 QPages 165-170: Q54 QPages 165-170: Q55 QPages 165-170: Q56 QPages 165-170: Q57 QPages 165-170: Q58 QPages 165-170: Q59 QPages 165-170: Q60 QPages 165-170: Q61 QPages 165-170: Q62 QPages 165-170: Q63 QPages 165-170: Q64 QPages 165-170: Q65 QPages 165-170: Q66 QPages 165-170: Q67 QPages 165-170: Q68

Related Learning Resources & Exam Preparation

Chapter Practice Bank
Practice all topic-wise questions from Capacitors
Reference Textbook Solutions
Explore complete chapter exercises for HC Verma: Concepts of Physics - Volume 2
Competitive PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring