An inductor coil stores 64J of magnetic field energy nad dissipates energy at the rate of 640W when a current of 8A is passed through it. If this coil is joined across an ideal battery, find the time constant of the circuit in seconds:

Option 1 -

0.8

Option 2 -

0.2

Option 3 -

0.125

Option 4 -

0.4

0 2 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    2 months ago
    Correct Option - 2


    Detailed Solution:

    U B = 1 2 L l 2 . . . . . . . . . . . . ( i )

    PR = l2R

    => 640 = (8)2 R

    R = 1 0 Ω

    from (i) 64 = 1 2 × L × ( 8 ) 2

    L = 2H

    l = L R = 2 1 0 = 0 . 2 s e c o n d        

Similar Questions for you

A
alok kumar singh

Bv = B sin 60°

-> B v = 2 . 5 × 1 0 4 × 3 2

E m f = B v × v × l = 2 . 5 × 1 0 4 × 3 2 × 1 8 0 × 5 1 8 × 1 = 1 0 8 . 2 5 × 1 0 3 v o l t s        

A
alok kumar singh

M = φ? /I? = (B? A? )/I? = [ (μ? I? /2R? )πR? ²]/I?
[Diagram of two concentric coils]
M = (μ? πR? ²)/ (2R? )
M ∝ R? ²/R?

V
Vishal Baghel

(A) The magnet's entry    

V
Vishal Baghel

R = 2 Ω

L = 2 mH

E = 9V

i = ε 2 R = 9 v 4 Ω = 2 . 2 5 A

Just after the switch ‘S’ is closed, the inductor acts as open circuit.

A
alok kumar singh

At any time  t

? = B A c o s ? π t 5 ? ω = 2 π T = 2 π 10 = π 5

d ? d t = - π 5 B A s i n ? π t 5

e = π 5 B A s i n ? π t 5

e will be maximum when π t 5  is π 2 .

t = 2.5 s e c
e will be minimum when π t 5 is π , 0

t = 0,5 s e c

So, answer will be (1).

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