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Question: An ideal coil of 10 henry is joined in series with a resistance of 5 ohm and a battery of 5 volt. 2 ...

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

A

e-1

B

(1 - e-1)

C

(1 - e)

D

e

Answer

(1 - e-1)

Explanation

Solution

By using i=i0(1eRtL)i = i_{0}\left( 1 - e^{- \frac{Rt}{L}} \right); i=55(1e5×210)i = \frac{5}{5}\left( 1 - e^{- \frac{5 \times 2}{10}} \right)

or i=(1e1)i = (1 - e^{- 1})