A 10 ohm resistor is connected to an inductor coil of 20 Henry in series. The rate of magnetic energy stored in the inductor become equal to the rate of heat (joule) dissipated across resistor after time
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a
2/In 2
b
In 2
c
½ In 2
d
2 ln 2
answer is D.
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Detailed Solution
i=ER1−eRtLdidt=ELe−tT where τ=LRi2R=LdidtiERR1−e−tτ=LELe−tτ1=2e−tτln2=tτ⇒t=τln2=2ln2
A 10 ohm resistor is connected to an inductor coil of 20 Henry in series. The rate of magnetic energy stored in the inductor become equal to the rate of heat (joule) dissipated across resistor after time