SATHEE: Electromagnetic Induction

Electromagnetic Induction - Result Question 26

26. In an inductor of self-inductance $L = 2 m H$ , current changes with time according to relation $i = t^{2} e^{- t}$ . At what time emf is zero?

[2001]

(a) $4 s$

(b) $3 s$

(d) $1 s$

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Answer:

Correct Answer: 26. (c)

Solution:

$E = - L \frac{d i}{d t} = - L [- t^{2} e^{- t} + 2 t e^{- t}]$

when $E = 0$ ,

$- e^{- t} t^{2} + 2 t e^{- t} = 0$

or, $2 t e^{- t} = e^{- t} t^{2}$

$\Rightarrow t = 2 s e c$ .

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Electromagnetic Induction - Result Question 26

26. In an inductor of self-inductance L=2mH, current changes with time according to relation i=t2e−t. At what time emf is zero?

Answer:

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26. In an inductor of self-inductance $L = 2 m H$ , current changes with time according to relation $i = t^{2} e^{- t}$ . At what time emf is zero?