Question:
Four identical rectangular plates with length, $l=2 \mathrm{~cm}$ and breadth, $\mathrm{b}=\frac{3}{2} \mathrm{~cm}$ are arranged as shown in figure. The equivalent capacitance between $\mathrm{A}$ and $\mathrm{C}$ is $\frac{\mathrm{x} \varepsilon_{0}}{\mathrm{~d}}$. The value of $\mathrm{x}$ is _____________
(Round off to the Nearest Integer)
Solution:
$\mathrm{C}_{\mathrm{eq}}=\frac{2 \mathrm{C}_{0}}{3}=\frac{2}{3} \frac{\mathrm{E}_{0} \mathrm{~A}}{\mathrm{~d}}$
$\mathrm{C}_{\mathrm{eq}}=\frac{2 \mathrm{\epsilon}_{0}}{3 \mathrm{~d}} \times\left(2 \times \frac{3}{2}\right)=2 \quad\left(\because \mathrm{A}=\mathrm{lb}=2 \times \frac{3}{2}\right)$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,
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