Ouestions

1 For each circuit in Fig. 27 -I8, are the resistors connected inseries, in parallel, or neither?

(b)

FlG. 27-18 Question 1.

2 In Fig. 27 -19, a circuit con-sists of a battery and two uni-form resistors, and the sectionlying along an x axis is dividedinto five segments of equallengths. (u) Assume that Rr :R2 and rank the segments ac-

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cording to the magnitude of the average electric field in them,greatest first. (b) Now assume that Rr ) Rz and then againrank the segments. (c) What is the direction of the electricfield along the x axis?

3 (a) In Fig. 27 -21a,,with Rr ) R2, is the potential differenceacross R2 more than, less than, or equal to that across Rr?(b) Is the current through resistor R2 more than, less than,or equal to that through resistor R1?

e,FlG. 27-20 Questions 3 and 4.

4 (a) In Fig. 27 -20a,, are resistors R1 and R3 in series? (b) Areresistors Rr and R2 in parallel? (c) Rank the equivalent resis-tances of the four circuits shown in Fig. z7-z\,greatest first.5 You are to connect resistors R1 and Rr, with Rr ) R2, toa battery, first individually, then in series, and then in parallel.Rank those arrangements according to the amount of currentthrough the battery, greatest first.6 Cap-monster maze. In Fig. 27 -2I, all the capacitors havea capacitance of 6.0 pE, and all the batteries have an emf of10 V. What is the charge on capacitor C? (If you can find theproper loop through this maze, you can answer the questionwith a few seconds of mental calculation.)

FlG. 27-21 Question 6.

7 Initially, a single resistor Rl is wired to a battery. Thenresistor R2 is added in parallel. Are (a) the potential differenceacross R1 and (b) the current i1 through Rr now more than,less than, or the same as previously? (.) Is the equivalentresistance Rp of R1 and R2 more than, less than, or equal toRr? (d) Is the total current through R1 and R2 together morethan, less than, or equal to the current through R1 previously?8 Res-monster maze. In Fig. 27 -22, all the resistors have aresistance of 4.0 f) and all the (ideal) batteries have an emf of4.0 V. What is the current through resistor R? (If you canfind the proper loop through this maze, you can answer thequestion with a few seconds of mental calculation.)

FlG. 27-22 Question 8.

9 A resistor R1 is wired to a battery, then resistor R2 is addedin series. Are (a) the potential difference across R1 and (b) thecurrent i1 through Rr now more than, less than, or the same aspreviously? (c) Is the equivalentresistance Rp of R1 and R2 morethan, less than, or equal to Rt?10 After the switch rn Fig. 27 -15 is closed on point a,, there iscurrent i through resistance R.Figure 27-23 gives that current forfour sets of values of R and capaci-tance C: (1) Rs and Co, (2) ZRo andCo, (3) Rs and 2Co,()2Roand ZCo.Which set goes with which curve?

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FlG. 27-23 Question 10.

Ouestions

1 For each circuit in Fig. 27 -I8, are the resistors connected inseries, in parallel, or neither?

(b)

FlG. 27-18 Question 1.

2 In Fig. 27 -19, a circuit con-sists of a battery and two uni-form resistors, and the sectionlying along an x axis is dividedinto five segments of equallengths. (u) Assume that Rr :R2 and rank the segments ac-

T$-I

cording to the magnitude of the average electric field in them,greatest first. (b) Now assume that Rr ) Rz and then againrank the segments. (c) What is the direction of the electricfield along the x axis?

3 (a) In Fig. 27 -21a,,with Rr ) R2, is the potential differenceacross R2 more than, less than, or equal to that across Rr?(b) Is the current through resistor R2 more than, less than,or equal to that through resistor R1?

e,FlG. 27-20 Questions 3 and 4.

4 (a) In Fig. 27 -20a,, are resistors R1 and R3 in series? (b) Areresistors Rr and R2 in parallel? (c) Rank the equivalent resis-tances of the four circuits shown in Fig. z7-z\,greatest first.5 You are to connect resistors R1 and Rr, with Rr ) R2, toa battery, first individually, then in series, and then in parallel.Rank those arrangements according to the amount of currentthrough the battery, greatest first.6 Cap-monster maze. In Fig. 27 -2I, all the capacitors havea capacitance of 6.0 pE, and all the batteries have an emf of10 V. What is the charge on capacitor C? (If you can find theproper loop through this maze, you can answer the questionwith a few seconds of mental calculation.)

FlG. 27-21 Question 6.

7 Initially, a single resistor Rl is wired to a battery. Thenresistor R2 is added in parallel. Are (a) the potential differenceacross R1 and (b) the current i1 through Rr now more than,less than, or the same as previously? (.) Is the equivalentresistance Rp of R1 and R2 more than, less than, or equal toRr? (d) Is the total current through R1 and R2 together morethan, less than, or equal to the current through R1 previously?8 Res-monster maze. In Fig. 27 -22, all the resistors have aresistance of 4.0 f) and all the (ideal) batteries have an emf of4.0 V. What is the current through resistor R? (If you canfind the proper loop through this maze, you can answer thequestion with a few seconds of mental calculation.)

FlG. 27-22 Question 8.

9 A resistor R1 is wired to a battery, then resistor R2 is addedin series. Are (a) the potential difference across R1 and (b) thecurrent i1 through Rr now more than, less than, or the same aspreviously? (c) Is the equivalentresistance Rp of R1 and R2 morethan, less than, or equal to Rt?10 After the switch rn Fig. 27 -15 is closed on point a,, there iscurrent i through resistance R.Figure 27-23 gives that current forfour sets of values of R and capaci-tance C: (1) Rs and Co, (2) ZRo andCo, (3) Rs and 2Co,()2Roand ZCo.Which set goes with which curve?

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FlG. 27-23 Question 10.

Ouestions

1 For each circuit in Fig. 27 -I8, are the resistors connected inseries, in parallel, or neither?

(b)

FlG. 27-18 Question 1.

2 In Fig. 27 -19, a circuit con-sists of a battery and two uni-form resistors, and the sectionlying along an x axis is dividedinto five segments of equallengths. (u) Assume that Rr :R2 and rank the segments ac-

T$-I

cording to the magnitude of the average electric field in them,greatest first. (b) Now assume that Rr ) Rz and then againrank the segments. (c) What is the direction of the electricfield along the x axis?

3 (a) In Fig. 27 -21a,,with Rr ) R2, is the potential differenceacross R2 more than, less than, or equal to that across Rr?(b) Is the current through resistor R2 more than, less than,or equal to that through resistor R1?

e,FlG. 27-20 Questions 3 and 4.

4 (a) In Fig. 27 -20a,, are resistors R1 and R3 in series? (b) Areresistors Rr and R2 in parallel? (c) Rank the equivalent resis-tances of the four circuits shown in Fig. z7-z\,greatest first.5 You are to connect resistors R1 and Rr, with Rr ) R2, toa battery, first individually, then in series, and then in parallel.Rank those arrangements according to the amount of currentthrough the battery, greatest first.6 Cap-monster maze. In Fig. 27 -2I, all the capacitors havea capacitance of 6.0 pE, and all the batteries have an emf of10 V. What is the charge on capacitor C? (If you can find theproper loop through this maze, you can answer the questionwith a few seconds of mental calculation.)

FlG. 27-21 Question 6.

7 Initially, a single resistor Rl is wired to a battery. Thenresistor R2 is added in parallel. Are (a) the potential differenceacross R1 and (b) the current i1 through Rr now more than,less than, or the same as previously? (.) Is the equivalentresistance Rp of R1 and R2 more than, less than, or equal toRr? (d) Is the total current through R1 and R2 together morethan, less than, or equal to the current through R1 previously?8 Res-monster maze. In Fig. 27 -22, all the resistors have aresistance of 4.0 f) and all the (ideal) batteries have an emf of4.0 V. What is the current through resistor R? (If you canfind the proper loop through this maze, you can answer thequestion with a few seconds of mental calculation.)

FlG. 27-22 Question 8.

9 A resistor R1 is wired to a battery, then resistor R2 is addedin series. Are (a) the potential difference across R1 and (b) thecurrent i1 through Rr now more than, less than, or the same aspreviously? (c) Is the equivalentresistance Rp of R1 and R2 morethan, less than, or equal to Rt?10 After the switch rn Fig. 27 -15 is closed on point a,, there iscurrent i through resistance R.Figure 27-23 gives that current forfour sets of values of R and capaci-tance C: (1) Rs and Co, (2) ZRo andCo, (3) Rs and 2Co,()2Roand ZCo.Which set goes with which curve?

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FlG. 27-23 Question 10.

Ouestions

1 For each circuit in Fig. 27 -I8, are the resistors connected inseries, in parallel, or neither?

(b)

FlG. 27-18 Question 1.

2 In Fig. 27 -19, a circuit con-sists of a battery and two uni-form resistors, and the sectionlying along an x axis is dividedinto five segments of equallengths. (u) Assume that Rr :R2 and rank the segments ac-

T$-I

cording to the magnitude of the average electric field in them,greatest first. (b) Now assume that Rr ) Rz and then againrank the segments. (c) What is the direction of the electricfield along the x axis?

3 (a) In Fig. 27 -21a,,with Rr ) R2, is the potential differenceacross R2 more than, less than, or equal to that across Rr?(b) Is the current through resistor R2 more than, less than,or equal to that through resistor R1?

e,FlG. 27-20 Questions 3 and 4.

4 (a) In Fig. 27 -20a,, are resistors R1 and R3 in series? (b) Areresistors Rr and R2 in parallel? (c) Rank the equivalent resis-tances of the four circuits shown in Fig. z7-z\,greatest first.5 You are to connect resistors R1 and Rr, with Rr ) R2, toa battery, first individually, then in series, and then in parallel.Rank those arrangements according to the amount of currentthrough the battery, greatest first.6 Cap-monster maze. In Fig. 27 -2I, all the capacitors havea capacitance of 6.0 pE, and all the batteries have an emf of10 V. What is the charge on capacitor C? (If you can find theproper loop through this maze, you can answer the questionwith a few seconds of mental calculation.)

FlG. 27-21 Question 6.

7 Initially, a single resistor Rl is wired to a battery. Thenresistor R2 is added in parallel. Are (a) the potential differenceacross R1 and (b) the current i1 through Rr now more than,less than, or the same as previously? (.) Is the equivalentresistance Rp of R1 and R2 more than, less than, or equal toRr? (d) Is the total current through R1 and R2 together morethan, less than, or equal to the current through R1 previously?8 Res-monster maze. In Fig. 27 -22, all the resistors have aresistance of 4.0 f) and all the (ideal) batteries have an emf of4.0 V. What is the current through resistor R? (If you canfind the proper loop through this maze, you can answer thequestion with a few seconds of mental calculation.)

FlG. 27-22 Question 8.

9 A resistor R1 is wired to a battery, then resistor R2 is addedin series. Are (a) the potential difference across R1 and (b) thecurrent i1 through Rr now more than, less than, or the same aspreviously? (c) Is the equivalentresistance Rp of R1 and R2 morethan, less than, or equal to Rt?10 After the switch rn Fig. 27 -15 is closed on point a,, there iscurrent i through resistance R.Figure 27-23 gives that current forfour sets of values of R and capaci-tance C: (1) Rs and Co, (2) ZRo andCo, (3) Rs and 2Co,()2Roand ZCo.Which set goes with which curve?

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FlG. 27-23 Question 10.