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An inductor of 2 H and a resitance of 10...

An inductor of 2 H and a resitance of `10Omega` are conncts in series with a bttery of 5 V. The intial rate of change of current is

A

0.54A/s

B

2.0 A/s

C

2.5 A/s

D

0.25 A/s

Text Solution

Verified by Experts

(c) `i=i_(0)(1-e^((RT)/(L)))`
`implies (di)/(dt)=(d)/(dt)l_(0)-(d)/(dt)(i_(0)e^(-(RT)/(L)))=0+(i_(0)R)/(L)e^((RT)/(L))`
Initially , t=0
`implies (di)/(dt)=(i_(0)xxR)/(L)=(E)/(L)=(5)/(2)=2.5 A//s`
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Knowledge Check

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