EECS 70A W13: Final Solutions

EECS 70A LEC A (18170)

Final Exam (Winter Qtr 2013) - LETTER SIZE 5042

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1. (15 points) Identify resistor configurations. Do NOT reduce the circuit.

R1 R2

R3

R4 R5 R6

R7

R8

R9

R10

R12

R14

R13

R11

(a) (1 point) Which resistors are in series? List all combinations.

(b) (6 points) Which resistors are in parallel? List all combinations.

(c) (4 points) Which resistors are in delta configuration? List all combinations.

(d) (4 points) Which resistors are in wye configuration? List all combinations.


2. (20 points) A plant consumes 120 kW at a power factor of 1/2 lagging from a100V rms 60 Hz line. Determine the value of the capacitor that when placed inparallel with the load will change the load power factor to

√3/2 leading.


3. (25 points) Given the circuit below, determine the impedance ZL for maximumaverage power transfer and the value of the maximum average power transferredto this load.


5. (20 points) Find the voltages Vs, V1, V2 and currents I1, I2, I3 in the circuitbelow and plot them in vector form.


6. (15 points) EXTRA CREDIT You are given that the source voltage Vs =10cos(2πfot)V , where the operating frequency, fo = 1MHz, and the load re-sistance RL is fixed. Find the value of L required to achieve maximum powertransfer to the load. Calculate the power dissipated at the load for this value ofL.

NOTE: You must answer all parts of the question to be eligible for

extra credit.

EECS 70A W13: Final Solutions

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