In a coil of resistance 100 Ω, 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 :

Question

In a coil of resistance 100 Ω, 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 : (A) 200 Wb (B) 225 Wb (C) 250 Wb (D) 275 Wb

Tardigrade Admin · Accepted Answer

ε = (dφ/dt) iR = (dφ/dt) ∫ dφ = R ∫ idt Magnitude of change in flux = R × area under current vs time graph = 100 × (1/2) × (1/2) × 10 = 250 Wb

Q. In a coil of resistance $100 Ω$ , 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 :

200 Wb

225 Wb

250 Wb

275 Wb

$ε = \frac{d ϕ}{d t}$
$i R = \frac{d ϕ}{d t}$
$\int d ϕ = R \int i d t$
Magnitude of change in flux = R $\times$ area under current vs time graph
$= 100 \times \frac{1}{2} \times \frac{1}{2} \times 10$
$= 250 Wb$

Q. In a coil of resistance 100Ω, 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 :