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Engineering and Tech / Introduction to Electric Circuits 9 / Chapter 7.7 / Problem P7.7-11

Introduction to Electric Circuits | 9th Edition | ISBN: 9781118477502 | Authors: James A. Svoboda, Richard C. Dorf

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Consider the combination of circuit elements shown in Figure P 7.7-11. (a) Suppose

Chapter 7, Problem P7.7-11

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QUESTION:

Consider the combination of circuit elements shown in Figure P 7.7-11.

(a) Suppose element A is a 20-\(\mu\)F capacitor, element B is a 5-\(\mu\)F capacitor, and element C is a 20-\(\mu\)F capacitor. Determine the equivalent capacitance.

(b) Suppose element A is a 50-mH inductor, element B is a 30-mH inductor, and element C is a 20-mH inductor. Determine the equivalent inductance.

(c) Suppose element A is a 9-k\(\Omega\) resistor, element B is a 6-k\(\Omega\) resistor and element C is a 10-k\(\Omega\) resistor. Determine the equivalent resistance.

Questions & Answers

QUESTION:

Consider the combination of circuit elements shown in Figure P 7.7-11.

(a) Suppose element A is a 20-\(\mu\)F capacitor, element B is a 5-\(\mu\)F capacitor, and element C is a 20-\(\mu\)F capacitor. Determine the equivalent capacitance.

(b) Suppose element A is a 50-mH inductor, element B is a 30-mH inductor, and element C is a 20-mH inductor. Determine the equivalent inductance.

(c) Suppose element A is a 9-k\(\Omega\) resistor, element B is a 6-k\(\Omega\) resistor and element C is a 10-k\(\Omega\) resistor. Determine the equivalent resistance.

ANSWER:

Step 1 of 5

For the given circuit, components and are connected in series, and component in parallel with them.

a)

In this case,the components represent capacitors.

Capacitance for series connection of and :

=

=

=

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