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Homework Question 7: 15 k ohm + R + 0.1 F R-R3 15 k ohm C=C1 0.1 micro F vs(t) =3 cos(4000xt) V Vs(t) C (0) Figure 1 Simple RC circuit for phasor analysis 7.1 Determine it) • Write the value of the voltage phasor Vs Vs = • Use the formula Ze=-j/oC to calculate the impedance of the capacitor Za Za= • Noting that the resistor and capacitor are in series, determine the equivalent impedance Zeq, in rectangular form. Zeg= (rectangular form) • Draw these components of impedance in the complex plane axes and determine Zeg in polar form. Im Re Zega (polar form)
• Use Ohm's law to solve for the phasor current I in the circuit. I= Vs LZeg (Remember that to divide a phasor by a complex number, divide the magnitudes and subtract the phase angle.) I= • Write the time domain expression for i(t). i(t) = 7.2 Determine ve(t) • Use Ohm's law to solve for the phasor voltage Xe across the capacitor. Ve=IZ& (Remember that to multiply a phasor by a complex number, multiply the magnitudes and add the phase angle.) Xe= • Write the time domain expression for vo(t) vc(t) = 7.3 Determine vR(t) • Use Ohm's Law to solve for the phasor voltage VR across the resistor. VR = I ⓇR VR= • Write the time domain expression for R(t). VR(I) =