First slide

Inductance

Question

An ideal coil of 10 henry is joined in series with a resistance of 5 ohm and a battery of 5 volt. 2 second after joining, the current flowing in ampere in the circuit will be

Moderate

A

$e^{- 1}$
B

$(1 - e^{- 1})$
C

$(1 - e)$
D

$e$

Solution

$From i = i_{0} [1 - e^{- Rt / L}], where i_{0} = \frac{5}{5} = 1 amp$
$∴ i = 1 (1 - e^{\frac{- 5 \times 2}{10}}) = (1 - e^{- 1}) amp$

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