In RLC series circuit, the instantaneous expression of current, apparent power, active power, reactive power and power factor are obtained In RLC series circuit, r = 100 ohm, XL = 20, XC = 10, supply voltage U = 200sin (100t + 30 degrees), the instantaneous expression of current, apparent power, active power, reactive power and power factor are obtained

In RLC series circuit, the instantaneous expression of current, apparent power, active power, reactive power and power factor are obtained In RLC series circuit, r = 100 ohm, XL = 20, XC = 10, supply voltage U = 200sin (100t + 30 degrees), the instantaneous expression of current, apparent power, active power, reactive power and power factor are obtained

R = 100 X = XL - XC = 20 - 10 = 10
Z = (R * r + X * x) ^ 0.5 = 100.5 Tana = x / r = 0.1 A = 5.7 degrees
Im = um / z = 200 / 100.5 = 1.99 Φ = 30 - 5.7 = 24.3 degrees
Instantaneous expression of current: I = imsin (100t + Φ) = 1.99sin (100t + 24.3 degrees)
Apparent power: S = u * I = (200 / √ 2) * (1.99 / √ 2) = 199 KVA
Active power: P = I * I * r = (1.99 / √ 2) * (1.99 / √ 2) * 100 = 198 w
Reactive power: q = I * I * x = (1.99 / √ 2) * (1.99 / √ 2) * 10 = 19.8 var
Power factor: cosa = cos5.7 = 0.995

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The one upstairs is wrong
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Sorry just made two mistakes
2^3*2^x=3√3
2^(-3x)=√3/9
2^x=√3
2^(-x)=√3/3
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36 degrees 59 minutes 96 seconds into an angle in degrees

37.01

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25 points