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The Fist

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The Fist
1. A 25 ohm resistor has an average power of 400 watts. Determine the maximum value of the current if it is a (a) sinusoidal, (b) triangular.

2. Determine the effective value Vrms of the voltage function given by v(t) = 100+25 sin 3wt + 10 sin 5wt volts.

3. What average power results in a 25 ohm resistor when it passes a current i(t) = 2+3 sin wt +2 sin2wt + 1 sin 3wt amperes.

4. Calculate Irms if i(t) = 50 + 40 sin wt amperes.

5. Calculate Irms if i(t) = 150 + 50 sin wt + 25 sin 2wt amperes.

6. The effective value of i(t) = 100 + A sin wt is known to be 103.1 amperes. Determine the amplitude A of the sine term.

7. If a half-wave rectified sine wave of voltage has an effective value of 20 V. What is its average value?

8. Calculate Iave and Irms for the waveform shown below.

9. Calculate Iave and Irms for the waveform of current below.

10. Determine Irms of the waveform shown below.

11. Determine Irms of the waveform shown below.

12. Determine k in the waveform shown below where k is some fraction period T.

13. Find Vave and Vrms of the waveform shown in Figure 13.

14. Referring to problem 13, determine Vave and Vrms if the function is described in the first interval

15. Determine Vave and Vrms for the waveform shown below

16. Find Vave and Vrms of the delayed half-wave rectified sine wave of voltage shown below when the delay angle is 45°

17. Referring to the waveform of problem 16 determine Vave and Vrms if the delay is (a) 90° (b) 135°

18. The full-wave rectified sine wave shown in below has a delay angle of 60°. Calculate Vave and Vrms in terms of Vm

19. A control circuit makes it possible to vary the delay angle in the current waveform shown above, such that the effective value has lower and upper limits of 2.13 and 7.01 amperes. Find the angles.

20. Determine the effective value of a full-wave rectified sine wave which is clipped at one-half of

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