Question

Sketch the phasor diagram for an ac circuit with a resistor in series with 32.2mu * F capacitor. The frequency of the generator is 60.0 Hz.

Part A Sketch the phasor degan for an ac circut with a 105 resistor in sales with a 322 capacitor. The frequency of the generatoris 600 TL Draw the vectors with their talls at the dot. The orientation of your vectors will be graded. The exact length of your vectors will not be graded but the relative length of one to the other will be graded. Vectors: IX, voltage across the capacitor 12 total voltage Press ENTER SPACE to see the list of the elements that can be added to the canvas Press TAB to move to the next menu option Press CTRLY to get to the elements on the canvas. Press CTRL to cut the application

Answer 1

R = 105 ohm

C = 32.2 mu F

f= 60 Hz

$\omega = 2\pi f$

$\omega = 376.99 rad/s$

net impedance

$Z = \sqrt{R^2+\left ( \frac{1}{\omega C} \right )^2}$

$Z = \sqrt{105^2+\left ( \frac{1}{(376.99) (32.2 \times 10^{-6})} \right )^2}$

$Z = 133.46 \Omega$

$tan(\phi) = \frac{1}{\omega C R}$

$tan(\phi) = \frac{1}{(376.99) (32.2\times 10^{-6}) (105)}$

$\phi = 38.12$

VR -> I 38.12 Vc ZIFA

Average power

$p = \frac{V^2}{Z^2} R$

$p = \frac{120^2}{133.46^2} (105)$