The current flowing through an inductor of se | vedclass

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

Question

(B) The induced e.m.f. $(e)$ in an inductor is given by the formula $e = -L \frac{dI}{dt}$.Here,$L$ is the self-inductance of the inductor,which is a

Vedclass · Accepted Answer

$B$

Vedclass · Answer

(B) The induced e.m.f. $(e)$ in an inductor is given by the formula $e = -L \frac{dI}{dt}$.Here,$L$ is the self-inductance of the inductor,which is a constant.The negative sign indicates that the induced e.m.f. opposes the change in current (Lenz's Law).Since $L$ is constant,the relationship between $e$ and $\frac{dI}{dt}$ is a linear equation of the form $y = mx$,where $m = -L$.This represents a straight line passing through the origin with a negative slope.Looking at the given graphs,graph $B$ shows a straight line starting from the origin and going into the negative $e$ region as $\frac{dI}{dt}$ increases,which correctly represents the relationship $e = -L \frac{dI}{dt}$.

The current flowing through an inductor of self-inductance $L$ is continuously increasing at a constant rate. The variation of induced e.m.f. $(e)$ versus $dI/dt$ is shown graphically by which figure?

Similar Questions

When a current of $1 \,A$ is passed through a coil of $100$ turns, the flux associated with it is $2.5 \times 10^{-5} \,Wb/\text{turn}$. The self-inductance of the coil in millihenry is:

Which of the following units denotes the dimension $\frac{M L^2}{Q^2}$,where $Q$ denotes the electric charge?

The self-inductance of a coil is $L$. Keeping the length and area the same,the number of turns in the coil is increased to four times. The self-inductance of the coil will now be

The current through a $4.6\, H$ inductor is shown in the following graph. The induced emf during the time interval $t = 5\, ms$ to $t = 6\, ms$ will be

The average $e.m.f.$ induced in a coil in which a current changes from $0$ to $2 \,A$ in $0.05 \,s$ is $8 \,V.$ The self-inductance of the coil is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module