Two solenoids have identical geometrical construction, but one is made of thick wire and the other of thin wire.
Which of the following quantities are different for the two solenoids?
The two solenoids are identical. Therefore, the self-inductance of the two solenoids is the same.
The formula used: energy stored in the inductor is given by
Where U is the Magnetic energy
L is the self-Inductance
I is the Current
The current in both solenoids is the same. That implies magnetic field energy is also the same.
The power dissipated as heat is given by
Where P is the power
I is the current
R is the Resistance
The time constant is given by
Where t is the time constant
L is the self-Inductance
R is resistance is given by
Where ρ is the resistivity
l is the length of the wire
A is the Area of cross section
The two solenoids are differed by the Area of the cross section A.
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Thus, the time constant and Joule heat is different for the two solenoids. And self-inductance and magnetic field are the same for the both.