Flux - in weber in a closed circuit of resistance 10 ohm varies with time t in sec according to the equation - -6 t 2 -5t-1 - What is the magnitude of the induced current at t - 1 sec-

The correct option is D 0.7A Given, flux ϕ=6t^2 5t+1 The magnitude of induced emf , |ε|=| dϕdt|=12t 5 Induced current , I=|ε|R=12t 510 at ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Inductors in Circuits

Flux Φ in w...

Question

Flux $Φ$ (in weber) in a closed circuit of resistance 10 ohm varies with time t (in sec) according to the equation $Φ = 6 t^{2} - 5 t + 1$ . What is the magnitude of the induced current at t = 1 sec?

0.5 A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.6 A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.7 A

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0.8 A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $0.7 A$
Given, flux $ϕ = 6 t^{2} - 5 t + 1$

The magnitude of induced emf , $| ε | = | - \frac{d ϕ}{d t} | = 12 t - 5$

Induced current , $I = \frac{| ε |}{R} = \frac{12 t - 5}{10}$

at $t = 1,$ $I = (12 - 5) / 10 = 0.7 A$

Suggest Corrections

Similar questions

Q. Flux

φ

(in water) in a closed circuit of resistance 10

Ω

varies with time t (in sec) according to the equation

φ = 6 t^{2} - 5 t + 1

. What is the magnitude of the induced current at

t = 0.25

Q. Flux

ϕ

(in webers) in a closed circuit of resistance 10 ohm varies with time t (in seconds) according to the equation

ϕ = 6 t^{2} - 5 t + 1.

What is the magnitude of the induced current in 0.25 second :

Q. Flux

ϕ

(in

w e b e r

) in a closed circuit of resistance

10 Ω

varies with time

t

(in

s e c o n d s

) according to the equation

ϕ = 6 t^{2} - 5 t + 1

. What is the magnitude of the induced current at

t = 0.25 s

Q. The magnetic flux in a closed circuit, of resistance

20 Ω

, varies with time

(t)

according to the equation

ϕ = 7 t^{2} - 4 t

. Where

ϕ

is in

webers

and

t

is in

seconds

. The magnitude of the induced current at

t = 0.25 sec

is,

Q. Magnetic flux

ϕ

in weber in a closed circuit of resistance

10 Ω

varies with time

t

(in seconds) as

ϕ = 6 t^{2} - 5 t + 1

. The magnitude of induced current at

t = 0.25 s

[

1 Mark

]

Join BYJU'S Learning Program

Flux Φ (in weber) in a closed circuit of resistance 10 ohm varies with time t (in sec) according to the equation Φ=6t2−5t+1 . What is the magnitude of the induced current at t = 1 sec?

The correct option is D 0.7AGiven, flux ϕ=6t2−5t+1The magnitude of induced emf , |ε|=|−dϕdt|=12t−5Induced current , I=|ε|R=12t−510at t=1, I=(12−5)/10=0.7A

Flux $Φ$ (in weber) in a closed circuit of resistance 10 ohm varies with time t (in sec) according to the equation $Φ = 6 t^{2} - 5 t + 1$ . What is the magnitude of the induced current at t = 1 sec?

The correct option is D $0.7 A$
Given, flux $ϕ = 6 t^{2} - 5 t + 1$

The magnitude of induced emf , $| ε | = | - \frac{d ϕ}{d t} | = 12 t - 5$

Induced current , $I = \frac{| ε |}{R} = \frac{12 t - 5}{10}$

at $t = 1,$ $I = (12 - 5) / 10 = 0.7 A$