A small square loop of side ' $a$ ' and one turn is placed inside a larger square loop of side $b$ and one turn $(b>>a)$. The two loops are coplanar with their centres coinciding. If a current $I$ is passed in the square loop of side ' $b$ ', then the coefficient of mutual inductance between the two loops is :
$\frac{\mu_{0}}{4 \pi} 8 \sqrt{2} \frac{\mathrm{a}^{2}}{\mathrm{~b}}$
$\frac{\mu_{0}}{4 \pi} \frac{8 \sqrt{2}}{a}$
$\frac{\mu_{0}}{4 \pi} 8 \sqrt{2} \frac{b^{2}}{a}$
$\frac{\mu_{0}}{4 \pi} \frac{8 \sqrt{2}}{b}$
Correct Option: 1
$\mathrm{B}=\left[\frac{\mu_{0}}{4 \pi} \frac{\mathrm{I}}{\mathrm{b} / 2} \times 2 \sin 45\right] \times 4$
$\phi=2 \sqrt{2} \frac{\mu_{0}}{\pi} \frac{1}{b} \times a^{2}$
$\therefore M=\frac{\phi}{I}=\frac{2 \sqrt{2} \mu_{0} a^{2}}{\pi b}=\frac{\mu_{0}}{4 \pi} 8 \sqrt{2} \frac{a^{2}}{b}$
Option (1)
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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,