AP EAMCET · PHYSICS · Electromagnetic Induction
A coil of resistance \(200 \Omega\) is placed in a magnetic field. If the magnetic flux \(\phi\) (in weber) linked with the coil varies with time ' \(t\) ' (in second) as per the equation \(\phi=50 \mathrm{t}^2+4\), then the current induced in the coil at a time \(\mathrm{t}=2 \mathrm{~s}\) is
- A 2 A
- B 1 A
- C 0.5 A
- D 0.1 A
Answer & Solution
Correct Answer
(B) 1 A
Step-by-step Solution
Detailed explanation
\( \varepsilon = -\frac{d\phi}{dt} = -\frac{d}{dt}(50t^2+4) = -100t \) \( |\varepsilon| = | -100(2) | = 200 \, \mathrm{V} \) \( I = \frac{|\varepsilon|}{R} = \frac{200}{200} = 1 \, \mathrm{A} \)
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 the given circuit, find the energy stored in the coil at steady state.
AP EAMCET 2021 Medium - A coil of inductive reactance \(\frac{1}{\sqrt{3}} \Omega\) and a resistance \(1 \Omega\) are connected in series to a \(200 \mathrm{~V}, 50 \mathrm{~Hz}\) ac source. The time lag between voltage and current isAP EAMCET 2025 Medium
- A radioactive element of mass \(1 \mathrm{~kg}\) after \(N\) years is left with only. \(125 \mathrm{~g}\). If the half life of the element is \(12.5 \mathrm{y}\), then the value of \(N\) isAP EAMCET 2022 Easy
- Three rods of equal lengths are joined to form an equilateral triangle \(A B C . D\) is the mid-point of \(A B\). The coefficient of linear expansion is \(\alpha_1\) for material of rod \(A B\) and \(\alpha_2\) for material of rods \(A C\) and \(B C\). If the distance \(D C\) remains constant for small changes in temperature, thenAP EAMCET 2010 Hard
- A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a distance \(1.21 Å\) between then. The wavelength of the standing wave isAP EAMCET 2023 Easy
- The potential difference across a conducting wire of length 20 cm is 30 V. If the electron mobility is \(2 \times 10^{-6} \mathrm{~m}^2 \mathrm{~V}^{-1} \mathrm{~s}^{-1}\), then the drift velocity of the electrons isAP EAMCET 2025 Medium
More PYQs from AP EAMCET
- Three thin uniform rods each of mass M and length L are placed along the three axes of a cartesian coordinate system with one end of all the rods at origin. The moment of inertia of the system of the rods about z -axis isAP EAMCET 2025 Medium
- The constant term in the expansion of \(\left(\frac{x}{2}+\frac{1}{x}+\sqrt{2}\right)^5\) is \(\frac{a \sqrt{2}}{2}\), then \(a=\)AP EAMCET 2020 Easy
- The perimeter of a sector is constant. If its area is to be maximum, the sectorical angle should beAP EAMCET 2022 Easy
- The mass of a planet is half that of the earth and the radius of the planet is one-fourth that of earth. If we plan to send an artificial satellite from the planet, the escape velocity will be, (escape velocity on earth \(v_e=11 \mathrm{~km}-\mathrm{s}^{-1}\) )AP EAMCET 2007 Easy
- A point mass oscillates along \(\mathrm{x}\)-axis according to \(x=x_0 \sin \left(\omega t-\frac{\pi}{6}\right)\). If the acceleration of the point mass is written as \(\mathrm{a}=\mathrm{A} \sin (\omega \mathrm{t}+\delta)\) thenAP EAMCET 2022 Hard
- Which of the following set of variables give a straight line with a negative slope when plotted?
( \(P=\) vapour pressure. \(T=\) Temperature in \(K\) )AP EAMCET 2006 Easy