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# HW13 - H 1 s = V 1 s V s s for v s t = V s cos 2 π ft Use...

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UC Berkeley, EECS Department B. E. Boser EECS 40 HW13: Impedance & Admittance UID: 1. A signal is characterized by a phasor with value ( - j ) mA at f = kHz. Find the value of the corresponding current i ( t ) at t = ms. i ( t ) opt. 0 2. What are the magnitude and phase of the impedance of a capacitor C 1 = pF at f 1 = 1 kHz and f 2 = 1 GHz? Frequency Magnitude [ Ω ], Phase [deg] f 1 opt. 1 f 2 opt. 2 How do capacitors behave at DC ( f = 0) and very high frequency ( f )? What about inductors? 3. A resistor R = k Ω and capacitor C = nF have a 1 V sinusoidal signal across. At what frequency are the magnitudes of the currents flowing through the two elements equal? Note: unless otherwise specified, report frequencies always in Hertz (Hz, kHz, etc), not in radians per sec- ond. 1 pt. 3 4. Find the phasor I 1 ( s ) of the steady-state response i 1 ( t ) of the circuit for v s = V s cos ( 2 π f t ) . Use V s = V, f = MHz, R 1 = k Ω , and L 1 = mH. I 1 ( s ) (complex) 1 pt. 4 magnitude [A], phase [deg] of I 1 ( s ) 1 pt. 5 5. Derive the a phasor for the ratio

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Unformatted text preview: H 1 ( s ) = V 1 ( s ) / V s ( s ) for v s ( t ) = V s cos ( 2 π ft ) . Use V s = V, f = MHz, R 1 = k Ω , and C 1 = pF. magnitude, phase [deg] of H 1 ( s ) 1 pt. 6 6. Derive phasors for the impedance Z 1 ( s ) = V 1 ( s ) / I 1 ( s ) and admittance Y 1 ( s ) = I 1 ( s ) / V 1 ( s ) for v s ( t ) = V s cos ( 2 π ft ) . Use V s = V, f = MHz, C 1 = pF. The unit for admittance is Siemens ( S ). 1 October 27, 2010 HW13 v793 http://ucbfeedback.com magnitude [ Ω ], phase [deg] of | Z 1 ( s ) | 1 pt. 7 magnitude [S], phase [deg] of | Y 1 ( s ) | 1 pt. 8 7. Find the node voltages in the circuit below. Use V 1 = V, R 1 = M Ω , R 2 = M Ω , C 1 = pF, C 2 = mF, L 1 = nH at f = MHz. v a 1 pt. 9 v b opt. 10 Password: 2 October 27, 2010 HW13 v793 http://ucbfeedback.com...
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HW13 - H 1 s = V 1 s V s s for v s t = V s cos 2 π ft Use...

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