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Find the rms value of current from t=0 t...

Find the rms value of current from t=0 to t=`(2pi)/(omega)` if the current avries as `i=I_(m)sin omegat`.

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To find the RMS (Root Mean Square) value of the current given by the equation \( i = I_m \sin(\omega t) \) from \( t = 0 \) to \( t = \frac{2\pi}{\omega} \), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Definition of RMS Value**: The RMS value of a function \( i(t) \) over a period \( T \) is defined as: \[ I_{RMS} = \sqrt{\frac{1}{T} \int_0^T i^2(t) \, dt} ...
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RESONANCE ENGLISH-ALTERNATING CURRENT-EXAMPLE
  1. In the circuit shown in the figure, find: (a) the reactance of the c...

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  2. Find the avarage value of current (in A) shown graphically in fig. Fro...

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  3. Find the rms value of current from t=0 to t=(2pi)/(omega) if the curre...

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  4. Show graphically that the average of sinusoidally varying current in h...

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  5. The average value of current i=I(m) sin omega t from t=(pi)/(2 omega )...

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  6. Current in an ac circuit is given by i=2 sqrt(2) sin [(pi t+((pi)//4)]...

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  7. Find the rms value of current from t=0 to t=(2pi)/(omega) if the curre...

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  8. Find the rms value of current i=I(m)sin omegat from (i) t=0 "to" t=(pi...

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  9. The effective value of current i=2 sin (100 pi t) +2 cos (100pi t +30^...

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  10. When a voltage V(s)=200 sqrt(2) sin (100 t) V is applied to an ac circ...

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  11. An AC voltage source V=200sqrt2 sin 100t is connected across a circuit...

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  12. In an RC series circuit(in fig), the rms voltage of source is 200V and...

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  13. In the above question if V(s)(t)=220sqrt2 sin (2pi 50t) , find (a) i(t...

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  14. An AC voltage source is applied across an R-C circuit. Angular frequen...

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  15. A 9//(100 pi) H inductor and a 12 Omega resistance are connected in se...

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  16. When an inductor coil is connected to an ideal battery of emf 10V, a c...

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  17. A bulb is rated at 100V, 100W. It can be treated as a resistor. Find o...

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  18. A Choke coil is needed to operate an arc lamp at 160 V (rms) and 50 H...

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  19. in the circuit shown in the figure, find (a)the reactance of the cir...

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  20. In a step-up transformer the turn's ratio is 10. If the frequency of t...

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