EGR203 Assignment 6

  1. Suppose we have two Aluminum foil sheets (250 mm by 250 mm square) with a 12-µm thick food wrap dielectric (estimated relative dielectric constant of 2.5). Calculate the capacitance.

  2. Given two capacitors, one of 15 µF and the other 30 µF. Find the effective capacitance if the capacitors are connected in series (end-to-end) and if they are connected in parallel (side-by-side).

  3. A voltage of 50 V appears across a 10-µF capacitor. Determine the amount of charge and the energy stored on the capacitor.

  4. Find the equivalent capacitance between terminals x and y in the circuit below.

    where

    C1C2C3 C4C5C6
    15 μF10 μF3 μF12 μF1 μF5 μF

  5. Suppose the time-varying voltage across a capacitor C = 10 µF is V = 20 sin(200t). Find the time-varying current.

  6. Find the period and the average and rms value of x(t) where

    x(t) = 2 cos(8πt) + 5

  7. A 30V rms AC source is connected across a 50Ω resistor. Find the average power dissipated in the resistor, and the amplitude of the AC voltage.

  8. Given an ac voltage expressed as

    v(t) = 4 sin(300t + 30°)

    Express the voltage as a cosine function (instead of the sine function).

  9. Find the average value and rms value of the signal below.


Maintained by John Loomis, last updated 4 June 2014