MHT CET · Physics · Electromagnetic Induction
Two conducting circular loops of radii ' \(\mathrm{R}_1\) ' and ' \(R_2\) ' are placed in the same plane with their centres coinciding. If \(\mathrm{R}_1>\mathrm{R}_2\), the mutual inductance \(\mathrm{M}\) between them will be directly proportional to
- A \(\frac{\mathrm{R}_1}{\mathrm{R}_2}\)
- B \(\frac{\mathrm{R}_2}{\mathrm{R}_1}\)
- C \(\frac{\mathrm{R}_1^2}{\mathrm{R}_2}\)
- D \(\frac{\mathrm{R}_2^2}{\mathrm{R}_1}\)
Answer & Solution
Correct Answer
(D) \(\frac{\mathrm{R}_2^2}{\mathrm{R}_1}\)
Step-by-step Solution
Detailed explanation
Mutual inductance of two concentric coplanar circular coils,
\(\begin{aligned}
& \mathrm{M}=\frac{\mu_0 \pi \mathrm{N}_1 \mathrm{~N}_2 \mathrm{R}_2^2}{2 \mathrm{R}_1} \\
\therefore \quad & \mathrm{M} \propto \frac{\mathrm{R}_2^2}{\mathrm{R}_1}
\end{aligned}\)
\(\begin{aligned}
& \mathrm{M}=\frac{\mu_0 \pi \mathrm{N}_1 \mathrm{~N}_2 \mathrm{R}_2^2}{2 \mathrm{R}_1} \\
\therefore \quad & \mathrm{M} \propto \frac{\mathrm{R}_2^2}{\mathrm{R}_1}
\end{aligned}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- In Young's experiment, fringes are obtained on a screen placed a distance \(75 \mathrm{~cm}\) from the slits. When the separation between two narrow slits is doubled, then the fringe width is decrease. In order to obtain the initial fringe width, the screen should be moved through.MHT CET 2021 Easy
- In Young's double slit experiment, green light is incident on the two slits. The interference pattern is observed on a screen. Which one of the following changes would cause the observed fringes to be more closely spaced?MHT CET 2020 Medium
- A simple harmonic progressive wave is represented as y = 0.03 . At a given instant of time, the phase difference between two particles 25 m apart isMHT CET 2019 Medium
- Ordinary bodies 'A' and 'B' radiate maximum energy with wavelength difference \(4 \mu \mathrm{m}\). The absolute temperature of body 'A' is 3 times that of ' \(\mathrm{B}\) '. The wavelength at
which body 'B' radiates maximum energy isMHT CET 2020 Easy - Two spherical rain drops reach the surface of the earth with terminal velocities having ratio \(16: 9\). The ratio of their surface area isMHT CET 2020 Easy
- Which one of the following statements is true? A p-type semiconductor is doped withMHT CET 2024 Easy
More PYQs from MHT CET
- \(\int \frac{\mathrm{d} x}{\sqrt{x}+x}=\)MHT CET 2025 Medium
- Let \(\mathrm{f}(x)=x\left[\frac{x}{2}\right]\), for \(-10 \lt x \lt 10\), where \([\mathrm{t}]\) denotes the greatest integer function. Then the number of points of discontinuity of \(f\) is equal toMHT CET 2024 Easy
- Soaps are the sodium or potassium salts of higher fatty acids, containing number of carbon atoms more than,MHT CET 2019 Medium
- What will be the length of a dsDNA strand, if it contains 100 base pairs?MHT CET 2023 Hard
- What is the radius of fourth orbit of \(\mathrm{Be}^{+++}\)?MHT CET 2023 Easy
- Identify 'A' in the following reaction.
\(\mathrm{A}+\mathrm{SOCl}_{2} \frac{\text { pyridine }}{\text { reflux }} \mathrm{B} \frac{\mathrm{KCN}(\text { alco })}{\triangle}\) propane nitrileMHT CET 2020 Easy