1.

An emf of 20 V is applied at time t = 0 to a circuit containing in series 10 mH inductor and 5Omega resistor. The ratio of the currents at time t = oo and t = 40 s is close to (take e^2 = 7.389)

Answer»

1.06
1.48
1.15
0.84

Solution :
`=4(1-e^(-500t))`
`rArr` At `t=oo [("INFINITE"),(because e=e)]`
i=4(1-e)
`i_0=4A`

`i_0=4A`
`rArr` At t=40 s
`i_(40) = 4(1-e^(-500xx40))`
`=4(1-1/((e^2)^10000))`
`=4(1-1/((7.29)^10000))`
`i_0/i_40 = 1/(1(1/((7.29)^10000)))`
=1.06


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