A graph of magnetic flux (phi) versus current | vedclass

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

Question

(B) The magnetic flux $(\phi)$ linked with an inductor is given by the relation $\phi = LI$,where $L$ is the self-inductance of the inductor.From this

Vedclass · Accepted Answer

$P$

Vedclass · Answer

(B) The magnetic flux $(\phi)$ linked with an inductor is given by the relation $\phi = LI$,where $L$ is the self-inductance of the inductor.From this equation,the self-inductance $L$ can be expressed as $L = \frac{\phi}{I}$.In the given graph,$\phi$ is plotted on the $y$-axis and $I$ is plotted on the $x$-axis.Therefore,the slope of the $\phi-I$ graph represents the self-inductance $L$ of the inductor.The slope of the graph is given by $	an(	heta)$,where $	heta$ is the angle that the line makes with the current axis ($I$-axis).As the angle $	heta$ increases,the value of $	an(	heta)$ increases.Looking at the graph,the line for inductor $P$ makes the largest angle with the $I$-axis.Thus,inductor $P$ has the largest slope,which implies it has the largest value of self-inductance $L$.

$A$ graph of magnetic flux $(\phi)$ versus current $(I)$ is shown for four inductors $P, Q, R, S$. The largest value of self-inductance is for inductor:

Similar Questions

Consider a solenoid carrying current supplied by a $DC$ source with a constant $emf$ containing an iron core inside it. When the core is pulled out of the solenoid,the change in current will:

$A$ $10 \; \Omega, 20 \; mH$ coil carrying constant current is connected to a battery of $20 \; V$ through a switch. When the switch is opened, the current becomes zero in $100 \; \mu s$. The average emf induced in the coil is $\dots \; V$.

The self-inductance of a coil is $5 \, H$. If a current of $1 \, A$ changes to $2 \, A$ within $5 \, s$ through the coil,the magnitude of the induced $e.m.f.$ will be $... \, V$.

When a current in the conducting coil is changed from $5 \ A$ in one direction to $5 \ A$ in the opposite direction in $0.5 \ s$,an average induced e.m.f. in the coil is $2 \ V$. The self-inductance of the coil is (in $mH$)

The total number of turns and cross-section area in a solenoid are fixed. However,its length $L$ is varied by adjusting the separation between windings. The inductance of the solenoid will be proportional to

Vedclass Test Series

Exam Paper Generator

Online Exam Module