Problem 10 The figure represents a thin conducting loop placed in a uniform magn
ID: 2036657 • Letter: P
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Problem 10 The figure represents a thin conducting loop placed in a uniform magnetic field directed perpendicular to the plane of the paper and inwards. Some of the following questions pertain to it. (Select True or False). True If the magnitude of the magnetic field starts decreasing, the resultant induced current (due to the whole loop) flows in the counter-clockwise direction in the right loop. True An emf is induced in a long, but not infinite, solenoid by a bar magnet that moves inside it along the solenoid axis False In Faraday's Law of induction, the induced emf is independent of the resistance in the coil or circuit. True A current carrying conductor passes through the centre of a metal ring in a direction perpendicular to its plane. If the current flowing through the conductor increases, an emf is induced in the ring False The size of the voltage induced in a coil through which a magnet moves is independent of the rate at which the magnet moves FalseThe size of the voltage induced in a coil through which a magnet moves is independent of the strength of the magnetExplanation / Answer
a) True: As the magnetic field going into the page starts decreasing, the coil opposes the change by producing a magnetic field going inside the plane. For producing a magnetic field going into the plane, the coil flows a current in the clockwise direction.
b) True: As the bar magnet moves the magnetic field changes and this changing magnetic field induces an emf in the solenoid
c) True: The induced current depends on the resistance of the coil but emf is independent of the resistance.
d) False: As the magnetic field produced by the wire is along the circumference of the ring, the magnetic flux does not cut the loop so if the field changes then also there will be no emf produced in the metal ring
e) False: The more is the rate or speed of the magnet the more rapidly is the magnetic field changing and hence more is the emf produced, so induced emf depends on the rate at which magnet moves.
f)True: the strength of induced emf only depends on the change in magnetic field and not on the strength of the magnetic field
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