MHT CET · Physics · Electromagnetic Induction
The magnetic flux through a coil of resistance 'R' changes by an amount ' \(\Delta \phi\) 'in time ' \(\Delta t\) '. The amount of induced current and induced charge in the coil are respectively
- A \(\left(\frac{\Delta \phi}{\Delta t}\right) \mathrm{R}\) and \(\frac{\mathrm{R}}{\Delta \phi}\)
- B \(\frac{\Delta \phi}{\mathrm{R}}\) and \(\mathrm{R}\left(\frac{\Delta \mathrm{t}}{\Delta \phi}\right)\)
- C \(\frac{\Delta \phi}{\mathrm{R}}+\mathrm{R}\) and \(\frac{\Delta \phi}{\Delta \mathrm{t}}\)
- D \(\left(\frac{\Delta \phi}{\Delta \mathrm{t}}\right) \times \frac{1}{\mathrm{R}}\) and \(\frac{\Delta \phi}{\mathrm{R}}\)
Answer & Solution
Correct Answer
(D) \(\left(\frac{\Delta \phi}{\Delta \mathrm{t}}\right) \times \frac{1}{\mathrm{R}}\) and \(\frac{\Delta \phi}{\mathrm{R}}\)
Step-by-step Solution
Detailed explanation
According to Faraday's law of electromagnetic induction,
\(\begin{aligned}
& |e|=\frac{\Delta \phi}{\Delta t} \\
& I R=\frac{\Delta \phi}{\Delta t} \\
& I=\left(\frac{\Delta \phi}{\Delta t}\right) \frac{1}{R}
\end{aligned}\)
\(\therefore \quad\) The total quantity of electric charge passing through the circuit is
\(\begin{aligned}
\mathrm{Q} & =\mathrm{I} \times \Delta \mathrm{t} \\
& =\frac{\Delta \phi}{\mathrm{R}}
\end{aligned}\)
\(\begin{aligned}
& |e|=\frac{\Delta \phi}{\Delta t} \\
& I R=\frac{\Delta \phi}{\Delta t} \\
& I=\left(\frac{\Delta \phi}{\Delta t}\right) \frac{1}{R}
\end{aligned}\)
\(\therefore \quad\) The total quantity of electric charge passing through the circuit is
\(\begin{aligned}
\mathrm{Q} & =\mathrm{I} \times \Delta \mathrm{t} \\
& =\frac{\Delta \phi}{\mathrm{R}}
\end{aligned}\)
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
- A point object kept at \(P\) in front of a glass sphere of radius ' \(R\) ' has its image formed at \(Q\) such that \(\mathrm{PO}=\mathrm{QO}\). The refractive index of material of glass sphere is 1.4. The distance PO is equal to
MHT CET 2024 Hard - Two particles 'A' and 'B' execute SHMs of periods 'T' and \('\left.\frac{3 T}{2}\right.'\). If they start from the mean position then the phase difference between them, when the particle 'A' completes two oscillations will beMHT CET 2025 Medium
- A body performs S.H.M. under the action of force ' \(F_1\) ' with period ' \(T_1\) ' second. If the force is changed to ' \(F_2\) ' it performs S.H.M with period ' \(T_2\) ' second. If both forces ' \(F_1\) ' and ' \(F_2\) ' act simultaneously in the same direction on the body, the period in second will beMHT CET 2021 Medium
- Fundamental frequency of sonometer wire is ' n '. If the tension and length are increased 3 times and diameter is increased twice, the new frequency will beMHT CET 2025 Medium
- A long, rectangular conducting loop of width \(l\) mass \(m\) and resistance \(R\) is placed partly in a perpendicular magnetic field \(B\). It is pushed downwards with velocity \(v\) so that it may continue to fall freely. The velocity \(v\) is \((g=\) acceleration due to gravity)
MHT CET 2022 Hard - Using Bohr's model, the orbital period of electron in hydrogen atom in \(\mathrm{n}^{\text {th }}\) orbit is \(\left(\epsilon_{0}=\right.\) permittivity of free space, \(\mathrm{h}=\) Planck's constant, \(\mathrm{m}=\) mass of electron,
\(\mathrm{e}=\) electronic charge \()\)MHT CET 2020 Medium
More PYQs from MHT CET
- If \(\tan ^{-1}\left(\frac{1-x}{1+x}\right)-\frac{1}{2} \tan ^{-1} x=0\), for \(x>0\), then \(x=\)MHT CET 2020 Medium
- Which one of the following is NOT purely a nitrogenous base?MHT CET 2020 Hard
- The equation \(|z+1-i|=|z-1+i|\) represents a (where \(z\) is a complex number)MHT CET 2025 Easy
- Two circular loops \(\mathrm{P}\) and \(\mathrm{Q}\) are made from a uniform wire. The radii of \(P\) and \(Q\) are \(R_1\) and \(R_2\) respectively. The moments of inertia about their own axis are \(\mathrm{I}_{\mathrm{P}}\) and \(\mathrm{I}_{\mathrm{Q}}\) respectively. If \(\frac{\mathrm{I}_{\mathrm{P}}}{\mathrm{I}_{\mathrm{Q}}}=\frac{1}{8}\) then \(\frac{\mathrm{R}_2}{\mathrm{R}_1}\) isMHT CET 2021 Easy
- A disc of radius 0.4 meter and mass \(1 \mathrm{~kg}\) rotates about an axis passing through its center and perpendicular to its plane. The angular acceleration is \(10 \mathrm{rad} \mathrm{s}^{-2}\). The tangential force applied to the rim of the disc isMHT CET 2021 Hard
- Which among the following is \(\underline{\text { NOT }}\) a mineral of chlorine?MHT CET 2020 Easy