A constant current I is maintained in a solen | vedclass

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Question

(A) When an iron rod (a ferromagnetic material) is inserted into a solenoid,the relative permeability $\mu_r$ of the core increases significantly.$(a)

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$(a), (b), (c)$

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(A) When an iron rod (a ferromagnetic material) is inserted into a solenoid,the relative permeability $\mu_r$ of the core increases significantly.$(a)$ The magnetic field $B$ inside a solenoid is given by $B = \mu_0 \mu_r n I$. Since $\mu_r$ increases,the magnetic field $B$ at the centre increases.$(b)$ The magnetic flux $\phi_B$ linked with the solenoid is given by $\phi_B = B \cdot A$. Since $B$ increases,the magnetic flux $\phi_B$ also increases.$(c)$ The self-inductance $L$ of a solenoid is given by $L = \mu_0 \mu_r n^2 A l$. Since $\mu_r$ increases,the self-inductance $L$ increases.$(d)$ The rate of Joule heating is given by $P = I^2 R$. Since the current $I$ is constant and the resistance $R$ of the solenoid wire does not change,the rate of Joule heating remains constant.Therefore,quantities $(a), (b),$ and $(c)$ will increase.

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