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Chapter 28: Q. 13 (page 789)

FIGURE Q28.13 shows the voltage as a function of time of a capacitor as it is discharged (separately) through three different resistors. Rank in order, from largest to smallest, the values of the resistances R1toR3

Short Answer

Expert verified

Order of the values of the resistances isR2>R3>R1

Step by step solution

01

Given information and formula used 

Given :

Theory used :

Resistance directly affects the time required to charge a capacitor. As resistance increases, it takes more time to charge a capacitor. The amount of time for the capacitor to become fully charged in a RCcircuit depends on the values of the capacitor and resistor in the circuit

02

Ranking in order, from largest to smallest, the values of the resistances.

A bigger resistance results in a larger time constant t=RC, which means the voltage decreases more slowly.

It makes no difference how big the initial voltage is. Because the R2curve decays the slowest, R2is the greatest, and the R1curve decays the fastest, R1is the smallest. That is,

R2>R3>R1

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Most popular questions from this chapter

he switch in figure28.38a closes at t=0sand, after a very long time, the capacitor is fully charged. Find expressions for

(a) the total energy supplied by the battery as the capacitor is being charged,

(b) total energy dissipated by the resistor as the capacitor is being charged, and

(c) the energy stored in the capacitor when it is fully charged. Your expressions will be in terms of E, R, and C.

(d) Do your results for parts a to c show that energy is conserved? Explain.

For the circuit shown in FIGURE P28.60, find the current through and the potential difference across each resistor. Place your results in a table for ease of reading.

The capacitor in an RC circuit is discharged with a time constant of 10ms. At what time after the discharge begins are

(a) the charge on the capacitor reduced to half its initial value and

(b) the energy stored in the capacitor reduced to half its initial value?

A. Load resistor R is attached to a battery of emf E and internal resistance r. For what value of the resistance R, in terms of E and r, will the power dissipated by the load resistor be a maximum?

B. What is the maximum power that the load can dissipate if the battery has E=9.0Vand localid="1649415601268" r=1.0鈩�?

A refrigerator has a 1000Wcompressor, but the compressor runs only 20%of the time.

a. If electricity costs\(0.10/kWh, what is the monthly (30 day) cost of running the refrigerator?

b. A more energy-efficient refrigerator with an 800W compressor costs\)100 more. If you buy the more expensive refrigerator, how many months will it take to recover your additional cost?
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