Practice Problems with Series Circuits



Practice Problems with Series Circuits

1. Use your understanding of equivalent resistance to complete the following statements:

a. Two 3-[pic] resistors placed in series would provide a resistance which is equivalent to one _____-[pic] resistor.

b. Three 3-[pic] resistors placed in series would provide a resistance which is equivalent to one _____-[pic] resistor.

c. Three 5-[pic] resistors placed in series would provide a resistance which is equivalent to one _____-[pic] resistor.

d. Three resistors with resistance values of 2-[pic] , 4-[pic] , and 6-[pic] are placed in series. These would provide a resistance which is equivalent to one _____-[pic] resistor.

e. Three resistors with resistance values of 5-[pic] , 6-[pic] , and 7-[pic] are placed in series. These would provide a resistance which is equivalent to one _____-[pic] resistor.

f. Three resistors with resistance values of 12-[pic] , 3-[pic] , and 21-[pic] are placed in series. These would provide a resistance which is equivalent to one _____-[pic] resistor. 

2. As the number of resistors in a series circuit increases, the overall resistance __________ (increases, decreases, remains the same) and the current in the circuit __________ (increases, decreases, remains the same).

4. Three identical light bulbs are connected to a battery as shown shown at the right. Which one of the following statements is true?

a. All three bulbs will have the same brightness.

b. The bulb between X and Y will be the brightest.

c. The bulb between Y and Z will be the brightest.

d. The bulb between Z and the battery will be the brightest. 

5. Three identical light bulbs are connected to a battery as shown at the right. Which adjustments could be made to the circuit that would increase the current being measured at X? List all that apply.

a. Increase the resistance of one of the bulbs.

b. Increase the resistance of two of the bulbs.

c. Decrease the resistance of two of the bulbs.

d. Increase the voltage of the battery.

e. Decrease the voltage of the battery.

f. Remove one of the bulbs. 

6. Three identical light bulbs are connected to a battery as shown at the right. W, X,Y and Z represent locations along the circuit. Which one of the following statements is true?

a. The potential difference between X and Y is greater than that between Y and Z.

b. The potential difference between X and Y is greater than that between Y and W.

c. The potential difference between Y and Z is greater than that between Y and W.

d. The potential difference between X and Z is greater than that between Z and W.

e. The potential difference between X and W is greater than that across the battery.

f. The potential difference between X and Y is greater than that between Z and W.

 7. Compare circuit X and Y. Each are powered by a 12-volt battery. The voltage drop across the 12-ohm resistor in circuit Y is ____ the voltage drop across the single resistor in X.

a. smaller than

b. larger than

c. the same as

 8. A 12-V battery, a 12-ohm resistor and a light bulb are connected as shown in circuit X below. A 6-ohm resistor is added to the 12-ohm resistor and bulb to create circuit Y as shown. The bulb will appear ____.

a. dimmer in circuit X

b. dimmer in circuit Y

c. the same brightness in both circuits

 9. Three resistors are connected in series. If placed in a circuit with a 12-volt power supply. Determine the equivalent resistance, the total circuit current, and the voltage drop across and current through each resistor.

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