1.

Obtain the answers (a) to (b) in Exercise 13 if the circuit is connected to a high frequency supply (240 V, 10 kHz). Hence, explain the statement that at very high frequency, an inductor in a circuit nearly amount to an open circuit. How does an inductor behave in a dc circuit after the steady state ?

Answer» Given frequency `f=10kHz = 10^(4)Hz`
the rms value of voltage `V_("rms")=240 v`
from Exercise 13
Resistance `R = 100 Omega`,
Inductance `L = 0.5 H`
Inductance `Z = sqrt(R^(2)+X_(L)^(2))`
`= sqrt(R^(2)+(2pi fL)^(2))`
`= sqrt((100)^(2)+(2xx3.14xx10^(4)xx0.5)^(2))`
`= 31400.15 Omega`
The rms value of current
`I_(0)=sqrt(2)I_("rms")=1.414xx0.00764`
`= 0.01080 A`
and `tan phi = (X_(L))/(R )=(2pi xx1000xx0.5)/(100)`
`tan phi = 100 pi` (very large).


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