MHT CET · Physics · Electromagnetic Induction
Alternating current of peak value \(\left(\frac{2}{\pi}\right)\) A flows through the primary coil of a transformer. The coefficient of mutual inductance between primary and secondary coils is 1 H . The peak e.m.f. induced in secondary coil (Frequency of a.c. \(=50 \mathrm{~Hz}\) )
- A 50 V
- B 150 V
- C 100 V
- D 200 V
Answer & Solution
Correct Answer
(D) 200 V
Step-by-step Solution
Detailed explanation
\(\begin{aligned}
& \omega=2 \pi v=2 \pi(50)=100 \pi \\
& I=I_0 \sin \omega t \\
& \frac{d I}{d t}=I_0 \omega \cos \omega t
\end{aligned}\)
Maximum value of \(\frac{\mathrm{dI}}{\mathrm{dt}}=\mathrm{I}_0 \omega\)
\(\begin{gathered}
=\frac{2}{\pi}(100 \pi)=200 \mathrm{~A} / \mathrm{S} \\
\mathrm{E}=\mathrm{L} \frac{\mathrm{dI}}{\mathrm{dt}}=1 \times 200=200 \mathrm{~V}
\end{gathered}\)
& \omega=2 \pi v=2 \pi(50)=100 \pi \\
& I=I_0 \sin \omega t \\
& \frac{d I}{d t}=I_0 \omega \cos \omega t
\end{aligned}\)
Maximum value of \(\frac{\mathrm{dI}}{\mathrm{dt}}=\mathrm{I}_0 \omega\)
\(\begin{gathered}
=\frac{2}{\pi}(100 \pi)=200 \mathrm{~A} / \mathrm{S} \\
\mathrm{E}=\mathrm{L} \frac{\mathrm{dI}}{\mathrm{dt}}=1 \times 200=200 \mathrm{~V}
\end{gathered}\)
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
- The mean electrical energy density between plates of a charged air capacitor is (where \(\mathrm{q}=\) charge on capacitor, \(\mathrm{A}=\) Area of capacitor plate)MHT CET 2023 Medium
- The intensity ratio of the maxima and minima in an interference pattern produced by two coherent sources of light is \(9: 1\). The intensities of the light sources used are in the ratioMHT CET 2024 Easy
- Which of the following while in motion cannot be deflected by magnetic field?MHT CET 2008 Easy
- The capacity of air filled parallel plate capacitor is \(\mathrm{C}_0\). One-half of the space between the plates is filled with a dielectric constant ' \(K\) ' as shown in figure. The new capacity becomes \(C_n\). The ratio \(C_n\) to \(C_0\) is
MHT CET 2025 Easy - Three particles each of mass ' \(\mathrm{m}_{1}\) ' are placed at the corners of an equilateral triangle of side \(\frac{\mathrm{L}}{3}\) '. A particle of mass 'm \(_{2}\) ' is placed at the mid point of any one side of triangle. Due to the system of particles the force acting on ' \(\mathrm{m}_{2}\) ' is (G = Universal constant of gravitation)MHT CET 2020 Medium
- In most liquids, with rise in temperature, surface tension of a liquidMHT CET 2024 Easy
More PYQs from MHT CET
- Large stout, nocturnal flowers producing copious nectar and emitting fermenting fruity odour, are the adaptations forMHT CET 2015 Medium
- What is the percentage atom economy when formula weight of product obtained is 70 u and the sum of formula weight of reactant is 140 u ?MHT CET 2024 Hard
- Three coils of inductance \(\mathrm{L}_1=2 \mathrm{H}, \mathrm{L}_2=3 \mathrm{H}\) and \(\mathrm{L}_3=6 \mathrm{H}\) are connected such that they are separated from each other. To obtain the effective inductance of 1 henry, out of the following combinations as shown in figure, the correct one is
MHT CET 2023 Easy - Which among the following has highest basic strength?MHT CET 2024 Medium
- If \(f(x)=\log (\sec x+\tan x)\), then \(f^{\prime}\left(\frac{\pi}{4}\right)=\)MHT CET 2020 Easy
- An ideal gas of molar mass ' \(\mathrm{M}_0\) ' has r.m.s. velocity ' \(\mathrm{V}\) ' at temperature ' \(\mathrm{T}\) '. ThenMHT CET 2021 Easy