Electro Magnetic Induction And Alternating Currents Question 603

Question: In an LR-circuit, time constant is that time in which current grows from zero to the value (where I0 is the steady state current) [MP PMT/PET 1998; MP PET 2002]

Options:

A) 0.63,I0

B) 0.50,I0

C) 0.37,I0

D) I0

Show Answer

Answer:

Correct Answer: A

Solution:

Current at any instant of time t after closing an L-R circuit is given by I=I0[1eRLt] Time constant t=LR
I=I0[1eRL×LR]=I0,(1e1)=I0,(11e) =I0,(112.718)=0.63I0=63 of I0



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