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Question

A constant current i is maintained in a solenoid. Which of the following quantities will increase if an iron rod is inserted in the solenoid along its axis?

A
Magnetic field at the centre
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B
Magnetic flux linked with the solenoid
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C
Self-inductance of the solenoid
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D
Rate of Joule heating
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Solution

The correct options are
A Magnetic flux linked with the solenoid
B Magnetic field at the centre
C Self-inductance of the solenoid
If a iron rod is inserted, the permeability of the medium between the solenoid will increase as the relative permeability of iron is greater than one. Therefore magnetic field will increase. This increase in magnetic field increases the magnetic flux linked. and the increase in flux linkage will increase the inductance.
The joule heating is dependent only on current and the resistor. Iron rod insertion will not effect either the current in or the resistor of the solenoid. Therefore joule heating will not be affected.

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