Two solenoids have identical geometrical cons | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The self-inductance of a solenoid is given by $L = \frac{\mu_0 N^2 A}{\ell_s}$. Since the geometrical construction $(A, \ell_s)$ and the number of

Vedclass · Accepted Answer

$b, d$

Vedclass · Answer

(A) The self-inductance of a solenoid is given by $L = \frac{\mu_0 N^2 A}{\ell_s}$. Since the geometrical construction $(A, \ell_s)$ and the number of turns $(N)$ are identical,the self-inductance $L$ is the same for both.The resistance of a wire is given by $R = \frac{ho \ell_w}{a}$,where $a$ is the cross-sectional area of the wire. Since the wires have different thicknesses,their cross-sectional areas $a$ are different,so their resistances $R$ are different.$(a)$ Self-inductance: Same.$(b)$ Rate of Joule heating $(P = I^2 R)$: Since $R$ is different,the rate of heating is different for the same current $I$.$(c)$ Magnetic potential energy $(U = \frac{1}{2} L I^2)$: Since $L$ is the same and $I$ is the same,the energy is the same.$(d)$ Time constant $(	au = \frac{L}{R})$: Since $L$ is the same but $R$ is different,the time constant is different.Therefore,quantities $(b)$ and $(d)$ are different.

Similar Questions

Which characteristics are included in the Kingdom $Monera$?

If the distance between the points $(a \cos \theta, a \sin \theta)$ and $(a \cos \phi, a \sin \phi)$ is $2a$,then $\theta$ is equal to

Which of the following is the richest source of protein?

The bond length of $HCl$ molecule is $1.275 \ \mathring{A}$ and its dipole moment is $1.03 \ D$. The ionic character of the molecule (in percent) (charge of the electron $= 4.8 \times 10^{-10} \ esu$) is

Male gametes are flagellated in

Vedclass Test Series

Exam Paper Generator

Online Exam Module