In a coil of resistance 100 Omega,a current | vedclass

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

Question

(C) According to Faraday's law of electromagnetic induction,the induced electromotive force $(EMF)$ is given by $\varepsilon = \frac{d\phi}{dt}$.Also,

Vedclass · Accepted Answer

$250$

Vedclass · Answer

(C) According to Faraday's law of electromagnetic induction,the induced electromotive force $(EMF)$ is given by $\varepsilon = \frac{d\phi}{dt}$.Also,by Ohm's law,$\varepsilon = iR$,where $i$ is the induced current and $R$ is the resistance of the coil.Equating the two expressions,we get $iR = \frac{d\phi}{dt}$,which implies $d\phi = R \cdot i \cdot dt$.Integrating both sides,the total change in magnetic flux $\Delta\phi$ is given by $\Delta\phi = R \int i \, dt$.The integral $\int i \, dt$ represents the area under the current-time graph.From the given graph,the area is a right-angled triangle with base $= 0.5 \, s$ and height $= 10 \, A$.Area $= \frac{1}{2} 	imes 	ext{base} 	imes 	ext{height} = \frac{1}{2} 	imes 0.5 	imes 10 = 2.5 \, C$.Therefore,the magnitude of change in flux is $\Delta\phi = R 	imes 	ext{Area} = 100 \, \Omega 	imes 2.5 \, C = 250 \, Wb$.

In a coil of resistance $100 \ \Omega$,a current is induced by changing the magnetic flux through it as shown in the figure. The magnitude of change in flux through the coil is......$Wb$.

Similar Questions

Metal rings $P$ and $Q$ are lying in the same plane where current $I$ is increasing steadily. The induced current in the metal rings is shown correctly in which figure?

The physical quantity which is measured in the unit of $\text{wb A}^{-1}$ is

Which of the following statements is incorrect?

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

In an $LR$ circuit connected to a battery,the rate at which energy is stored in the inductor is plotted against time during the growth of current in the circuit. Which of the following best represents the resulting curve?

Vedclass Test Series

Exam Paper Generator

Online Exam Module