The current through a coil varies according t | vedclass

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

Question

(D) The induced $emf$ $(e)$ in a coil is given by the formula: $e = -L \frac{di}{dt}$, where $L$ is the self-inductance of the coil and $\frac{di}{dt}

Vedclass · Accepted Answer

Vedclass · Answer

(D) The induced $emf$ $(e)$ in a coil is given by the formula: $e = -L \frac{di}{dt}$, where $L$ is the self-inductance of the coil and $\frac{di}{dt}$ is the rate of change of current.$1$. For the first part of the graph (from $t=0$ to some time $t_1$), the current $i$ is decreasing linearly with time. Thus, the slope $\frac{di}{dt}$ is negative and constant. Consequently, $e = -L 	imes (	ext{negative constant}) = 	ext{positive constant}$.$2$. For the second part of the graph (from $t_1$ to $t_2$), the current $i$ is increasing linearly with time. Thus, the slope $\frac{di}{dt}$ is positive and constant. Consequently, $e = -L 	imes (	ext{positive constant}) = 	ext{negative constant}$.$3$. Comparing this with the given options, the graph that shows a positive constant $emf$ followed by a negative constant $emf$ is Graph $D$.

The current through a coil varies according to the following graph. Plot the graph for induced $emf$ $(e)$ versus time $(t)$ for the coil.

Similar Questions

As per the given figure,if $\frac{ dI }{ dt } = -1 \text{ A/s}$,then the value of $V_{AB}$ at this instant will be $.......... \text{ V}$.

What length of wire is required to construct a solenoid of length $l_0$ and inductance $L$?

The figure shows a part of a complete circuit. The potential difference $V_B - V_A$ when the current $I$ is $5 \ A$ and is decreasing at a rate of $10^3 \ A \ s^{-1}$ is given by ........ $V$.

The current $i$ in an induction coil varies with time $t$ according to the graph shown. Which of the following graphs shows the induced $emf$ $(e)$ in the coil with time?

Vedclass Test Series

Exam Paper Generator

Online Exam Module