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JEE PHYSICS MCQ: ELECTRO MAGNETIC INDUCTION

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Application +4 | -1

A uniform magnetic field

B

exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total length of 30 cm. The magnetic field changes with time at a steady rate

\mathrm{d}B/dt = \mathrm{0}\mathrm{.032 \,\,T}{\mathrm{s}^{ - 1}}\mathrm{.}

The induced current in the loop is close to (Take, resistivity of the metal wire

= 1.\mathrm{23} \times \mathrm{1}{\mathrm{0}^{ - 8}}\Omega \mathrm{m)}

View answer and explanation

Correct option: A

0.61 A

Option A (0.61 A) is correct because it is the induced current calculated using Faraday's law and Ohm's law, considering the geometry and resistivity of the wire.

More Questions from ELECTRO MAGNETIC INDUCTION

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The current in a long solenoid of radius

R

n

turns per unit length is given by

i=i_0 \sin \omega t

. A coil having

N

turns is wound around it near the centre. Find the induced emf in the coil. The induced emf can be produced in a coil by

A. moving the coil with uniform speed inside
uniform magnetic field

B. moving the coil with non uniform speed inside
uniform magnetic field

C. rotating the coil inside the uniform magnetic
field

D. changing the area of the coil inside the uniform
magnetic field

Choose the correct answer from the options given
below: An inductance coil have the time constant

4 \mathrm{sec}

, if it is cut into two equal parts and connected parallel then new time constant of the circuit- If the coils of a transformer are made up of thick wire, then A loop of area

0.1\,\,{m^2}

rotates with a speed of

\mathrm{60}

rps perpendicular to a magnetic field of

\mathrm{0}\mathrm{.4}\,\,\mathrm{T}

\mathrm{100}

turns in the loop, maximum voltage induced in the loop is A

\mathrm{50}\,\,\mathrm{mH}

coil carries a current of

\mathrm{2 A}

, the energy stored in joule is