The instantaneous value of emf and current in an A.C. circuit are: $E = 1.414 s i n (100 π t - \frac{π}{4})$ , $I = 0.707 s i n (100 π t)$ .The reactance of the circuit
will be

Question

The instantaneous value of emf and current in anA-C- circuit are- E-1-414sinleft - 100pi t-dfrac-pi -4- right - -I-0-707sin-100pi t- - RMS value of current will besqrt-2-Adfrac-1-2-A1Adfrac-1-sqrt-2-A

Toppr Admin · Accepted Answer

Given -xA0- Imax-0-707-xA0-ARms value of current-xA0- Irms-Imax-x221A-2Irms-707-x221A-2-12A

The instantaneous value of emf and current in an
A.C. circuit are; $E = 1.414 s i n (100 π t - \frac{π}{4})$ ,
$I = 0.707 s i n (100 π t)$ . RMS value of current will be
$\sqrt{2} A$
$\frac{1}{2} A$
1A
$\frac{1}{\sqrt{2}} A$

Given : $I_{m a x} = 0.707 A$
Rms value of current $I_{r m s} = \frac{I_{m a x}}{\sqrt{2}}$
$I_{r m s} = \frac{.707}{\sqrt{2}}$
$= \frac{1}{2} A$

The instantaneous value of emf and current in anA.C. circuit are; E=1.414sin(100πt−π4) ,I=0.707sin(100πt) . RMS value of current will be√2A12A1A1√2A

Given : Imax=0.707 ARms value of current Irms=Imax√2Irms=.707√2=12A

The instantaneous value of emf and current in an
A.C. circuit are; $E = 1.414 s i n (100 π t - \frac{π}{4})$ ,
$I = 0.707 s i n (100 π t)$ . RMS value of current will be
$\sqrt{2} A$
$\frac{1}{2} A$
1A
$\frac{1}{\sqrt{2}} A$

Given : $I_{m a x} = 0.707 A$
Rms value of current $I_{r m s} = \frac{I_{m a x}}{\sqrt{2}}$
$I_{r m s} = \frac{.707}{\sqrt{2}}$
$= \frac{1}{2} A$