Two solenoids have identical geometrical cons | vedclass

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(A) $1$. Self-inductance $(L)$: The formula for self-inductance is $L = \frac{\mu_0 N^2 A}{l}$. Since the geometrical construction $(A, l)$ and the nu

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$(b), (d)$

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(A) $1$. Self-inductance $(L)$: The formula for self-inductance is $L = \frac{\mu_0 N^2 A}{l}$. Since the geometrical construction $(A, l)$ and the number of turns $(N)$ are identical,the self-inductance $L$ is the same for both solenoids.$2$. Rate of Joule heating $(P = I^2 R)$: Since the wires have different thicknesses,their resistances $(R)$ are different. If the same current $(I)$ flows through them,the rate of Joule heating $(I^2 R)$ will be different.$3$. Magnetic potential energy $(U = \frac{1}{2} L I^2)$: Since $L$ is the same and $I$ is the same,the magnetic potential energy $U$ will be the same for both.$4$. Time constant $(	au = \frac{L}{R})$: Since $L$ is the same but $R$ is different,the time constant $	au$ will be different for the two solenoids.Therefore,the quantities that are different are $(b)$ and $(d)$.

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