Alternating current 2

JEE Advanced Tutorials › Electricity and magnetism questions › Alternating current 2

In the AC network shown in fig., the rms current through the inductor and capacitor are 0.6A and 0.8A respectively. Then the current coming out of the source is

this quest is also from arihant objectives.... plz help me out in this...

Ok what do we mean when we say the "reactance of the circuit" without mentioning whether it is inductive or capacitive.....

#Physics #Electricity and magnetism

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4 Answers

49

Subhomoy Bakshi ·2010-09-10 22:42:16

is the answer 0.2 Amps??

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49

Subhomoy Bakshi ·2010-09-10 23:02:50

take the voltage source be

V=V_osinÏ‰t

now we split the circuit into 2 separate circuits one purely capacitive and another purely inductive,

thus, I_c=I^o_csin (Ï‰t+Î¸)
and I_L=I^o_Lsin (Ï‰t-Î¸)

where

|Î¸|=Ï€/2

thus we can see that the phase difference between the two wave forms of current is Ï€...

and so at every point of time, I_L=-I_c

this gives instantaneous current as |I_L|-|I_c|

thus peak value of current is |I^o_L-I^o_c|

RMS current is |I_L - I_câˆš2| = |I_Lâˆš2 - I_câˆš2| = I_{c rms} - I_{L rms}

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49

Subhomoy Bakshi ·2010-09-11 07:05:36

is the answer correct??

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redion ·2010-09-13 23:03:12

yes ur answer is correct, even i too had the problem in the same question

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