15 Electrical Circuits Name Worksheet A: SERIES CIRCUIT PROBLEMS
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1 Worksheet A: SERIES CIRCUIT PROBLEMS be careful to use proper significant figures on all answers 1. What would be the required voltage of an energy source in a circuit with a current of 10.0 A and a resistance of 11.0 Ù? 2. Three 1.50 V cells are connected to form the energy source of a series circuit. The total resistance in the circuit is 100 Ù. How much current moves through the circuit? 3. What is the total resistance of the circuit shown in the diagram at right? 4. How much current moves through the 5.00 Ù resistor in that circuit? 5. How much voltage is dropped across the 5.00 Ù resistor? (Remember, you must use Ohm's Law to get the correct voltage drop.) 6. How much voltage is dropped across the 2.00 Ù resistor? 7. How much voltage is dropped across the 3.00 Ù resistor? 8. Show the total of the above three answers in the space below. It should match the battery voltage. If it doesn't, you need to go back and rework problems 5, 6, and The circuit shown below has three numbered resistors, three voltmeters, and an ammeter positioned as shown. Use Ohm's Law and the properties of series circuits to complete the table. (Hint: One way to avoid rounding errors is to place any unrounded numbers outside the table near the rounded ones you place in the boxes. Make sure your box entries have 3 significant figures.) Diagram Position Voltage (V) Current (A) Resistance (Ù) Total 15.0 Unit 15: Electrical Circuits, Worksheet A: Series Circuit Problems
2 Worksheet B: PARALLEL CIRCUIT PROBLEMS 1. What is the total or effective resistance of the circuit shown in the diagram at right? 2. How much voltage is there across the 20.0 Ù resistor? 3. How much current moves through the 20.0 Ù resistor? 4. How much voltage is there across the 15.0 Ù resistor? 5. How much current moves through the 15.0 Ù resistor? 6. Calculate the sum of answers three and five and show it below. It should equal the total current found by dividing the battery voltage by the total resistance calculated in problem 1. If it doesn't, you need to go back and rework The circuit shown below has two numbered resistors, a voltmeter, and an ammeter positioned as shown. Use Ohm's Law and the properties of parallel circuits to complete the table. (Hint: One way to avoid rounding errors is to place any unrounded numbers outside the table near the rounded ones you place in the boxes. Make sure your box entries have 3 significant figures.) Diagram Position Voltage (V) Current (A) Resistance (Ù) Total 8. The circuit shown below has three numbered resistors and an ammeter positioned as shown. Use Ohm's Law and the properties of parallel circuits to complete the table. Diagram Position Voltage (V) Current (A) Resistance (Ù) Total 3.00 Unit 15: Electrical Circuits, Worksheet B: Parallel Circuit Problems
3 Worksheet C: SERIES & PARALLEL CIRCUITS; POWER IN CIRCUITS 1. A 6.00 Ù resistor, a 54.0 Ù resistor, and a 32.0 Ù resistor are connected in series. Calculate their total resistance. 2. Calculate the total resistance of four 8.00 Ù resistors connected in parallel. 3. A 15.0 Ù resistor, a 6.00 Ù resistor, and a 39.0 Ù resistor are connected in series across a potential difference of 120 V. a) Calculate the current flowing through the circuit. b) Calculate the voltage drop across the 15.0 Ù resistor. 4. Three resistors are connected in parallel across 20.0 V. The resistors draw a total of 5.00 A. Two of the resistors have values of 24.0 Ù and 12.0 Ù. What is the value of the third resistor? Show your work, even if you use a table. 5. Fill out the table for the circuit diagramed at right. Showing work is optional here. 6. Fill out the table for the circuit diagramed at right. Showing work is optional here. Unit 15: Electrical Circuits, Worksheet C: Series & Parallel Circuits; Power in Circuits
4 7. A coffee pot rated at 360 W, an iron rated at 960 W, and an oven rated at 1200 W are connected in parallel across 120 V. The 15.0 A fuse in the circuit immediately blows. Calculate the total current drawn. 8. Phluffy s shock collar (she meows too much) delivers a current of A and runs on a 9.00 V battery. a) What is the power of the collar circuit in watts? b) Over a three month period the collar is in operation for a total of 600 seconds. How many joules of electrical energy was consumed during that period of time? Show an equation for calculating energy when you know the power and the time. Unit 15: Electrical Circuits, Worksheet C: Series & Parallel Circuits; Power in Circuits
5 Worksheet D: COMPOUND CIRCUIT PROBLEMS 1. Use the diagram at right to answer the following questions. You may use a table to guide your work, but you must show all relevant equations and calculations in the spaces below. a) What is the effective resistance of the parallel part of the circuit? (3.00 Ù) b) What is the total resistance of the entire circuit? c) What is the reading on the ammeter? d) What is reading on the voltmeter? 2. Fill out the table for the circuit diagramed at right. Showing work is optional here Total 3. Two 12.0 Ù resistors and a 6.00 Ù resistor are each connected in parallel. A 15.0 Ù resistor is added to the parallel group in series. All of them are connected to a single voltage source, and an ammeter is placed to measure total current. a) Draw the circuit, including the resistors, source, and ammeter. b) Calculate the voltage of the source if the ammeter shows a reading of 2.00 A. Show your equation and all work. Unit 15: Electrical Circuits, Worksheet D: Compound Circuit Problems
6 Worksheet E: COMBINATION CIRCUITS, POWER IN CIRCUITS, CAPACITORS 1. A 200 Ù and a 300 Ù resistor are connected in parallel. This parallel arrangement is connected in series with a 10.0 Ù resistor. The total potential difference per unit charge in this circuit is 15.0 V, which is supplied by an arrangement of six 5.00 V dry cells. a. Draw a diagram of the circuit, including how the six 5.00 V cells could be arranged to provide 15.0 V. Include in your diagram an ammeter that would measure total current (see part d below) and a voltmeter that could measure the voltage across a parallel resistor (see part f below). b. What is the effective resistance of the parallel portion of the circuit? c. What is the effective resistance of the entire circuit? d. What is the total current in the entire circuit? e. What is the voltage drop across the 10.0 Ù resistor? f. What is the voltage drop across the parallel portion of the circuit? g. What is the current through the 200 Ù resistor? h. What is the current through the 300 Ù resistor? The correct answer is A. Unit 15: Electrical Circuits, Worksheet E: Combination Circuits, Power in Circuits, Capacitors Page 1 of 4
7 2. Fill out the table for the circuit diagramed at right. use proper sig figs 3. Fill out the table for the circuit diagramed at right. use proper sig figs 4. Fill out the table for the circuit diagramed at right. use proper sig figs 5. If the cells are identical, which circuit would draw the most current from the cell? 6. If the resistors are identical, which circuit would have the lowest overall change in electrical potential energy per unit charge? Unit 15: Electrical Circuits, Worksheet E: Combination Circuits, Power in Circuits, Capacitors Page 2 of 4
8 7. Use the diagram of the complex circuit to answer the following questions. You may use a table to guide your work, but you must show all relevant equations and calculations in the spaces below. a) What is the effective resistance of the parallel part of the circuit? b) What is the total resistance of the entire circuit? c) What is the reading on the voltmeter? (You may use a table to guide your approach, but you must separately show all equations and calculations.) d) What is the reading on the ammeter? The correct answer is 1.76 A. POWER IN CIRCUITS: 8. Phluffy s shock collar (she meows too much) delivers a current of A and runs on a 9.00 V battery. a) What is the power of the collar circuit in watts? b) Over a three month period the collar is in operation for a total of 600 seconds. How many joules of electrical energy were consumed during that period of time? show the equation c) A typical 9.00 V battery might cost $2.40 and provide 19,250 J of energy. What is the cost of running the shock collar as described in parts a and b? Unit 15: Electrical Circuits, Worksheet E: Combination Circuits, Power in Circuits, Capacitors Page 3 of 4
9 CAPACITORS: 9. If the cells are identical, which circuit would store the most total charge? 10. The circuit diagram at right shows a 3.00 ìf capacitor hooked up in parallel across a 5.00 Ù resistor that is in turn hooked up in series with a 10.0 Ù resistor. The emf sources in the circuit are two 12.0 V sources hooked in series with one another. a) Use the information provided to determine the voltage across the capacitor after it is fully charged. b) Now find the charge on one of the plates of the fully-charged capacitor. c) How much current is detected by the ammeter once the capacitor is fully charged? Unit 15: Electrical Circuits, Worksheet E: Combination Circuits, Power in Circuits, Capacitors Page 4 of 4
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