A solenoid of length 60 cm with 15 turns per | vedclass

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

Question

(A) The mutual inductance $M$ of two co-axial solenoids is given by the formula: $M = \mu_0 n_1 n_2 A l$,where $n_1$ and $n_2$ are the number of turns

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(A) The mutual inductance $M$ of two co-axial solenoids is given by the formula: $M = \mu_0 n_1 n_2 A l$,where $n_1$ and $n_2$ are the number of turns per unit length,$A$ is the cross-sectional area of the inner solenoid,and $l$ is the length of the solenoids.Given:Length $l = 60 \ cm = 0.6 \ m$Turns per unit length of outer solenoid $n_1 = 15 \ 	ext{turns/cm} = 1500 \ 	ext{turns/m}$Turns per unit length of inner solenoid $n_2 = 40 \ 	ext{turns/cm} = 4000 \ 	ext{turns/m}$Area of inner solenoid $A = 2 	imes 10^{-3} \ m^2$Permeability of free space $\mu_0 = 4\pi 	imes 10^{-7} \ T \cdot m/A$Substituting the values:$M = (4\pi 	imes 10^{-7}) 	imes 1500 	imes 4000 	imes (2 	imes 10^{-3}) 	imes 0.6$$M = (4 	imes 3.14 	imes 10^{-7}) 	imes (6 	imes 10^6) 	imes (1.2 	imes 10^{-3})$$M = 12.56 	imes 10^{-7} 	imes 7.2 	imes 10^3$$M \approx 9.04 	imes 10^{-3} \ H = 9 \ mH$.

Similar Questions

The mutual inductance of an induction coil is $5\,H$. In the primary coil,the current reduces from $5\,A$ to zero in $10^{-3}\,s$. What is the induced emf in the secondary coil in $V$?

The mutual inductance of two coils is $8 \ mH$. The current in one coil changes according to the equation $I = 12 \sin 100t$,where $I$ is in ampere and $t$ is time in second. The maximum value of emf induced in the second coil is (in $V$)

The mutual inductance of two coils is $45 \ mH$. The self-inductance of the coils are $L_1 = 75 \ mH$ and $L_2 = 48 \ mH$. The coefficient of coupling between the two coils is

Two coils have a mutual inductance $0.003 \ H$. The current changes in the first coil according to the equation $I = I_0 \sin \omega t$, where $I_0 = 8 \ A$ and $\omega = 100 \pi \ rad \ s^{-1}$. The maximum value of e.m.f. in the second coil is (in $\pi \ V$)

The emf induced in the secondary coil due to unit rate of change of current in the primary is called

Vedclass Test Series

Exam Paper Generator

Online Exam Module