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Integrated Concepts A 160-?F capacitor charged to 450 V is

Chapter 21, Problem 76

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QUESTION:

Integrated Concepts

A \(160-\mu F\) capacitor charged to \(450 \mathrm{~V}\) is discharged through a \(31.2-k \Omega\) resistor.

(a) Find the time constant.

(b) Calculate the temperature increase of the resistor, given that its mass is \(2.50 \mathrm{~g}\) and its specific heat is \(1.67 \frac{\mathrm{kJ}}{\mathrm{kg} \cdot{ }^{\circ} \mathrm{C}}\), noting that most of the thermal energy is retained in the short time of the discharge.

(c) Calculate the new resistance, assuming it is pure carbon.

(d) Does this change in resistance seem significant?

Equation Transcription:

Text Transcription:

160- mu F

450 V

31.2-k Omega

2.50 g

1.67 kJ/kg cdot degrees C

Questions & Answers

QUESTION:

Integrated Concepts

A \(160-\mu F\) capacitor charged to \(450 \mathrm{~V}\) is discharged through a \(31.2-k \Omega\) resistor.

(a) Find the time constant.

(b) Calculate the temperature increase of the resistor, given that its mass is \(2.50 \mathrm{~g}\) and its specific heat is \(1.67 \frac{\mathrm{kJ}}{\mathrm{kg} \cdot{ }^{\circ} \mathrm{C}}\), noting that most of the thermal energy is retained in the short time of the discharge.

(c) Calculate the new resistance, assuming it is pure carbon.

(d) Does this change in resistance seem significant?

Equation Transcription:

Text Transcription:

160- mu F

450 V

31.2-k Omega

2.50 g

1.67 kJ/kg cdot degrees C

ANSWER:

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