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Engineering LibreTexts

2.1: Procedure

  • Page ID
    25974
  • Perform the following operations, including phasor diagrams where appropriate.

    1. (6 + j10) + (8 - j2)

    2. (2 + j5) – (10 - j4)

    3. 10 \(\angle\) 0\(^{\circ}\) + 20 \(\angle\) 90\(^{\circ}\)

    4. 10 \(\angle\) 45\(^{\circ}\) + 2 \(\angle\) -30\(^{\circ}\)

    5. 20 \(\angle\) 10\(^{\circ}\) - 5 \(\angle\) 75\(^{\circ}\)

    6. (10 + j20) * (5 + j5)

    7. (2 + j10) / (0.5 + j2)

    8. 10 \(\angle\) 0\(^{\circ}\) * 10 \(\angle\) 90\(^{\circ}\)

    9. 10 \(\angle\) 45\(^{\circ}\) * 10 \(\angle\) -45\(^{\circ}\)

    10. 10 \(\angle\) 90\(^{\circ}\) / 5 \(\angle\) 10\(^{\circ}\)

    11. 10 \(\angle\) 90\(^{\circ}\) / 40 \(\angle\) -40\(^{\circ}\)

    12. 1 / 200 \(\angle\) 90\(^{\circ}\)

    Draw the following expressions as time domain graphs.

    13. \(v = 10 \sin 2 \pi 100t\)

    14. \(v = 20 \sin 2 \pi 1000t + 45^{\circ}\)

    15. \(v = 5 + 6 \sin 2 \pi 100t\)

    Write the expressions for the following descriptions.

    16. A 10 volt peak sine wave at 20 Hz

    17. A 5 peak to peak sine wave at 100 Hz with a -1 VDC offset

    18. A 10 volt RMS sine wave at 1 kHz lagging by 40 degrees

    19. A 20 volt peak sine wave at 10 kHz leading by 20 degrees with a 5 VDC offset

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