Programmed Review for Electrical Engineering, Third Edition

Networks

The problems in this section illustrate a few aspects of network analysis and amplification. The study of lattice and other types of networks is recommended.

Problem 2-4: WYE-DELTA TRANSFORMATION

Q:

The circuit below is a Wheatstone bridge with a resistance in place of the galvanometer. Find the current supplied by the battery.

Answers

Q:

Using the wye-delta transformation, the network may be reduced as follows:

Solving for current:

(answer)

If your answer is correct, go on to Problem 2-5.

If your answer is not correct, review p. 11.

Problem 2-5: SCHERING BRIDGE

Q:

The value of an unknown capacitor is to be measured using a Schering bridge. If the values of the bridge capacitors and resistors are as shown below, what is the value of the unknown capacitor, C x, and its series resistance, R x?

Answers

Q:

For balanced conditions,

Z x = Z 1 Z 4 Y 3

Evaluating reals and imaginaries,

(answer)

(answer)

(answer)

If your answers are correct, go on to Problem 2-6. If your answers are not correct, review p. 12.

Problem 2-6: CIRCUIT NETWORK-LOOP CURRENT ANALYSIS

Q:

Find the current in the capacitor branch of the network shown below:

Answers

Q:

Since there are three loops, three voltage equations may be written. The problem is simplified if the capacitor branch is included in only one loop, since the capacitor current is obtained directly. Therefore, write the loop equations as follows:

Solving for i 3 using determinants:

(answer)

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