Problem 10 The figure represents a thin conducting loop placed in a uniform magn

Question

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). False The size of the voltage induced in a coil through which a magnet moves is affected by the strength of the magnet. True ? In Faraday's Law of induction, the induced emfis independent of the resistance in the coil or circuit. False ? If the magnitude of the magnetic field starts decreasing, the resultant induced current (due to the whole loop) flows in the clockwise direction in the right loop True No emfis induced in a long, but not infinite, solenoid by a bar magnet that moves inside it along the solenoid axis True ? The size of the voltage induced in a coil through which a magnet moves is affected by the rate at which the magnet moves. False, 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 Due in 13 hours, 14 minutes Submit Answer Incorrect. Tries 4/6 Previous Tries

Explanation / Answer

(i) True.

Since the flux depends on the strength of the magnet, the rate of change will also depend on it, and hence the voltage induced will depend on the strength of the coil.

(ii) True.

In Faraday's law of induction, the induced emf is indeed independent of the resistance of the coil. It is dependent only on the rate of change of magnetic flux through the coil. However, the induced current does depend on the resistance.

(iii) True.

The figure shows that the left loop is bigger (in area) than the right loop, so when the magnetic field decreases, the flux changes, but the change is bigger in the left loop. The current induced will be such that it will produce a magnetic field in the same direction as the existing one, so as to reinforce the decreasing magnetic field. Thus, in both the loops, the current induced will be clockwise. However, the current induced in the left loop will be greater than the one inthe right loop, so in the right loop, the current will flow counter-clockwise.

(iv) False.

Since the solenoid is long, but not infinite, the bar magnet that moves along the axis, results in a time-dependent flux through it, and hence an emf is induced in the solenoid.

(v) True.

As mentioned in (ii), the emf depends on the rate at which the magnetic flux is changing.

(vi) False.

A current carrying conductor produces a magnetic field, which is tangential, while the normal to the plane of the metal ring is parallel to the wire, so the flux of the magnetic field through the metal ring will be zero. Thus, even if the current increases, the flux will remain zero, and hence emf is not induced in the ring.

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