Verified Solution • 2025–26 Session moderate

QPages 165-170: Q49: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q49 Solution: The two square faces of a rectangular dielectric slab…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often plug the dimensions in centimeters or millimeters directly into $C=\kappa\epsilon_0 A/d$, forgetting to convert to meters; this makes $A$ too large and $d$ too small, inflating the capacitance by orders of magnitude. Always convert $20\,\text{cm}=0.20\,\text{m}$ and $1.0\,\text{mm}=1\times10^{-3}\,\text{m}$ before using the formula.

The two square faces of a rectangular dielectric slab dielectric constant 4.0) of dimensions 20 cm×20 cm×1.0 mm20 \text{ cm} \times 20 \text{ cm} \times 1.0 \text{ mm} are metal-coated. Find the capacitance between the coated surfaces.

Step-by-Step Verified Solution

**Answer:** C=1.42×10−9C = 1.42 \times 10^{-9} F. **Step-by-Step Explanation:** A=0.2×0.2=0.04A = 0.2 \times 0.2 = 0.04 m_, d=1.0d = 1.0 mm =10−3= 10^{-3} m, K=4.0K = 4.0.
C=Kϵ0Ad=4×8.854×10−12×0.0410−3=1.42×10−9 FC = \frac{K\epsilon_0 A}{d} = \frac{4 \times 8.854 \times 10^{-12} \times 0.04}{10^{-3}} = 1.42 \times 10^{-9} \text{ F}

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