The current (I) in an inductor is varying wit | vedclass

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

Question

(A) The voltage $(V)$ across an inductor is given by the formula $V = L \frac{dI}{dt}$, where $L$ is the inductance and $\frac{dI}{dt}$ is the rate of

Vedclass · Accepted Answer

Vedclass · Answer

(A) The voltage $(V)$ across an inductor is given by the formula $V = L \frac{dI}{dt}$, where $L$ is the inductance and $\frac{dI}{dt}$ is the rate of change of current with respect to time.From the graph, the current $(I)$ increases linearly with time $(t)$ for a certain interval, meaning the slope $\frac{dI}{dt}$ is constant and positive.Since $V = L 	imes (	ext{constant})$, the voltage $(V)$ will be a constant positive value during this interval.When the current $(I)$ is constant, $\frac{dI}{dt} = 0$, so the voltage $(V)$ becomes $0$.When the current $(I)$ decreases linearly, the slope $\frac{dI}{dt}$ is constant and negative, so the voltage $(V)$ becomes a constant negative value.Therefore, the graph of voltage $(V)$ versus time $(t)$ will be a series of horizontal steps corresponding to the slopes of the current-time graph.

The current $(I)$ in an inductor is varying with time $(t)$ as shown in the figure. Which of the following graphs shows the correct variation of voltage $(V)$ with time $(t)$ in the inductor?

Similar Questions

Which of the following is not a unit of inductance?

In an inductor,the current $I$ varies with time $t$ as $I = 5 \,A + 16 \,(A/s) \,t$. If the induced emf in the inductor is $5 \,mV$,the self-inductance of the inductor is .............. $\times 10^{-4} \,H$.

$A$ graph of magnetic flux $(\phi)$ versus current $(I)$ is plotted for four inductors $A, B, C, D$. Which inductor has the largest value of self-inductance?

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

When a current $i$ through a solenoid is increasing at a constant rate, then the induced current is

Vedclass Test Series

Exam Paper Generator

Online Exam Module