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R
R
R
R
Circuit A Circuit B
I = 3 A
CIRCUITS WORKSHEET
- Determine the equivalent (total) resistance for each of the following circuits below.
Req = ________ Req = ________ Req = ________
- Determine the total voltage (electric potential) for each of the following circuits below.
- In a series circuit there is just one path so the charge flow is constant everywhere (charge is not lost or gained). Circuit B was made by adding 2 more identical resistors in series to circuit A
a) How is the charge flow out of the battery (and back into it) affected by adding more bulbs in series?
b) If the resistors were light bulbs, how do you expect the brightness of the bulbs to be affected by adding more bulbs in series?
c) How is the brightness in the 2 circuits related to charge flow or current?
d) How does the current in circuit B compare to circuit A?
e) How is current (I) related to the resistance of the circuit?
f) If the resistance of a circuit is quadrupled, by what factor does the current change?
R 1
R 2
R 3
g) Fill out the table for the circuit diagramed at the right.
h) Is there a relationship between resistance and voltage drop in a series circuit? If so, state it.
c) If the resistors were light bulbs, explain in terms of charge flow (current) and energy per charge (voltage) which bulb would be brightest / dimmest.
- In a parallel circuit, there is more than one loop or
pathway so charge flow gets split up or recombined at junction points. Therefore current is not the same at every point in the circuit
a) How does the current through the one resistor in circuit A, compare to the current through each resistor in circuit B? (Use Kirchoff Loop rule on circuit B to look at the current in each path.)
b) How does the sum of the currents through the three bulbs in circuit B compare to current from the battery in circuit A?
c) How is the current out of the battery (and back into it) affected by adding resistors in parallel? Explain
d) If the resistors were light bulbs, how does the brightness of each bulb in circuit B compare to the brightness of the single bulb in circuitA,?
Circuit Position
Voltage (V)
Current (A)
Resistance (Ω) Power (W)
Total 6.
I = ____
3 W
6V
Circuit B
Circuit A
6V
3 W
3 W
3 W
I = ____
Questions 6 and 7 refer to the following: The diagram to the right represents an electric circuit consisting of four resistors and a 12-volt battery.
What is the equivalent resistance of the circuit shown?
What is the current measured by ammeter A shown in the diagram?
A 6.0-ohm lamp requires 0.25 ampere of current to operate. In which circuit below would the lamp operate correctly when switch S is closed?
Questions 9 and 10 refer to the following: A 50.-ohm resistor, an unknown resistor R , a 120-volt source, and an ammeter are connected in a complete circuit. The ammeter reads 0.50 ampere.
Calculate the equivalent resistance of the circuit shown.
Determine the resistance of resistor R shown in the diagram.
Questions 11 through 13 refer to the following: A 3.0-ohm resistor, an unknown resistor, R , and two ammeters, A 1 and A 2 , are connected as shown below with a 12-volt source. Ammeter A 2 reads a current of 5.0 amperes.
- Determine the equivalent resistance of the circuit shown.
Calculate the current measured by ammeter A 1 in the diagram shown.
Calculate the resistance of the unknown resistor, R in the diagram shown.
- A 110-V household circuit that contains an 1800-W microwave, a 1000-W toaster, and an 800-W coffeemaker is connected to a 20-A fuse. Determine the current. Will the fuse melt if the microwave and the coffeemaker are both on?
- Determine the equivalent resistance of two resistors of 12 W and 18 W when they are connected a) in parallel
b) in series
- Assume that you have five one thousand ohm (1000 W) resistors.
a) Devise a circuit with an equivalent resistance of 1333 ohms.
b) Devise a circuit with an equivalent resistance of 750 ohm
c) Using all five resistors, what is the smallest resistance that can be constructed?
d) Using all five resistors, what is the largest resistance that can be constructed?
Answers 1a) 1.2 W 1b) 7 W 1c) 14 W 2a) 13 V 2b) 12 V 6 ) 3.0 W
- 2.0 A 8) C 9) 240 W
- 190 W 11) 2.4 W 12) 4.0 A
- 12 W 14a) 350. W 14b) 0.143 A 14c) 17.9 V 15b) 60. W 15c) 0.20 A 16a) 0.10 A 16b) 400 W 16c) 40. W 17a) 680 W 17b) 0.018 A 17c) 2.2 V
- 7.2 W 19) 4.0 W 20a) 36 W 20b) I 62 W = 0.19 A; I 88 W = 0.14 A 21) I = 23.6 A so fuse will melt 22a) 17 W 22b) I 35 W = 1.0 A; I 55 W = 0.64 A; I 85 W = 0.41 A 23b) 6.0 W 23c) 0.75 A 23d) 2.3 V 24b) 20.0 W 24c) 6.0 A 24d) 3.0 A 24e) 90. V
