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Enriched Circuit Worksheet 1. Two electrical appliances and a power source are set up as shown on the diagram below. Three ammeters are installed in the circuit. Ammeter A1 shows value I1. Ammeter A2 shows value I2. Ammeter A3 shows value I3. resistance A2 coil A1 A3 What relation exists among the three values? A) I3 = I1 + I2 B) I1 = I2 + I3 C) I2 = I1 + I3 D) I1 = I2 + I3 2. Two electrical appliances and a power source are set up as shown on the diagram below. Three voltmeters are installed in the circuit. Voltmeter V1 shows value V1. Voltmeter V2 shows value V2. Voltmeter V3 shows value V3. V2 V1 resistance coil V3 What relation exists among the three values? A) V1 = V2 + V3 B) V2 = V1 + V3 C) V3 = V1 + V2 D) V1 = V2 + V3 3. Given the following electric circuit with four voltmeters. Voltmeter V1 reads 2.0 V. Voltmeter V2 reads 4.0 V. Voltmeter V3 reads 7.0 V. V1 V2 V4 V3 What is the reading on voltmeter V4? A) 13.0 V B) 4.0 V C) 2.0 V D) 1.0 V 4. Three known resistances are connected in series to the terminals of a power source. The potential difference at the terminals of the 3.0 resistance is 12 V. 2.0 3.0 4.0 What is the potential difference of the power source? 5. Three known resistances are connected in parallel to the terminals of a power source. The current passing through the 3.0 resistance is 1.0 A. 2.0 3.0 6.0 What is the intensity of the current coming from the power source? 6. In the following electric circuit, one of the two resistances is 4.0 Ω. The other resistance, "R", is unknown. The voltage of the power source is 12 V and the electric current from the source is 4.5 A. 4.0 R What is the value of resistance "R"? 7. The circuit in the diagram at the right consists of 4 resistors whose values are 2 , 4 , 5 and 7 respectively. R1=2 R2= 4 9V A R3=5 I= ? A R4= 7 What is the reading of the ammeter? 8. Calculate the equivalent resistance that could replace three resistors in each of the circuits. Circuit 1 Circuit 2 10.0 10.0 20.0 50.0 20.0 50.0 9. A student assembled the two circuits illustrated below. Each of these circuits consists of two identical light bulbs, a 1.5 V battery and a voltmeter. V1 1.5 V 1.5 V What is the reading displayed on voltmeters V1 and V2? A) V1 = 0.75 V and V2 = 0.75 V C) V1 = 1.5 V B) V1 = 0.75 V and V2 = 1.5 V D) V1 = 1.5 V V2 and V2 = 0.75 V and V2 = 1.5 V 10. A circuit consisting of 3 resistors R1, R2 and R3, connected in parallel is illustrated below. The power supply is fixed at 24 V. 24 V 12 R1 R2 A A 12 A R3 1 4.0 A According to this diagram, what is the value of the resistance of resistor R3? 11. The circuit illustrated below has a power supply fixed at 12 V. 1 R1 12 V R2 2 R3 3 What is the current intensity in resistor R3? 12. An electric circuit is illustrated below. The value of the resistance of the resistors is A 120 V R1 = 50 R2 = 200 R1 R2 What is the value of the equivalent resistance of this circuit? 13. The circuit illustrated below consists of a power supply, three resistors (R1, R2 and R3), an ammeter (A) and a voltmeter (V). 10 R1 + 20 R2 - R3 A 2A V 60 V What is the potential difference, or voltage, (V) at the terminals of the power supply? 14. The electric circuit shown below consists of an ammeter A, a power supply, and resistors R1 and R2 connected in parallel. A 20 V 40 40 R1 R2 What is the current intensity (I) flowing through the ammeter? 15. Two electric circuits each consists of a power supply and resistors R1 and R2. For each circuit, the following table gives the potential difference (voltage), V, across the terminals of the power supply; the potential difference V1, across resistor R1; and the potential difference, V2, across resistor R2. Circuit V(V) V1(V) V2(V) 1 10 8 2 2 10 10 10 Draw a circuit diagram to illustrate each of these circuits. Give one reason to justify each of your diagrams. 16. The following diagram shows a parallel circuit consisting of three resistors. R1 R2 R3 + R1 = 3 I1 = 4 A R2 = 6 I2 = 2 A R3 = ? I3 = 6 A What is the value of resistor R3? 17. The following circuit is connected to a source that can provide a current of 2 A when the potential difference (voltage) is 12 V. R1 V s = 12 V Is =2A R2 + _ R3 R1 =1 R2 =2 What is the resistance of resistor R3? 18. The following circuit is connected to a source that can provide a current intensity of 18 A when the potential difference (voltage) is 36 V? R1 R2 R3 Vs Is = 36 V = 18 A + _ What is the current intensity I1 flowing through resistor R1? R2 =4 R3 =6 I 3 =6 19. In the electric circuit illustrated below, the current intensity (I) is 0.25 A. 10 R1 20 R2 Vs R3 40 What is the potential difference across the terminals of the power source, Vs? 20. The following circuit consists of two resistors R1 and R2, two ammeters A1 and A2 and a power supply. 10 Ω R1 R2 A1 A2 20 Ω I = 5 A Ammeter A2 reads 5 A. What is the reading given by ammeter A1? 21. The following electric circuit consists of a power source, two identical resistors (R1 and R2) and four ammeters A1 A2 , , A3 and A4 . I1 = 1.6 A A1 A2 R1 A4 R2 A3 I3 = 0.8 A Ammeter A1 reads 1.6 A and ammeter A3 reads 0.8 A. What do ammeter A2 and ammeter A4 read? A) Ammeter A2 reads 0.8 A and ammeter A4 reads 0.8 A. B) Ammeter A2 reads 0.8 A and ammeter A4 reads 1.6 A. C) Ammeter A2 reads 1.6 A and ammeter A4 reads 1.6 A D) Ammeter A2 reads 1.6 A and ammeter A4 reads 2.4 A. 22. The following electric circuit consists of a 10-V power source, Vs, three resistors (R1, R2 and R3) and a voltmeter V . The resistance of R1 is 5 Ω, the resistance of R2 is 15 Ω and the resistance of R3 is 20 Ω. R1 5Ω 15 Ω R2 Vs = 10 V R3 20 Ω V What is the potential difference (voltage) given by voltmeter V ? 23. The following electric circuit consists of a power source, two ammeters ( A and A1 ), two resistors (R1 and R2) and a voltmeter V2 . Ammeter A reads 3 A and ammeter A1 reads 1 A. I1 = 1 A A1 I=3A 6Ω R1 A 3Ω R2 V2 V2 = ? What is the potential difference (voltage), V2, across the terminals of resistor R2? 24. The electric circuit on the right consists of a power source, two resistors (R1 and R2) and two ammeters ( A1 and A2 R1 3Ω ). R2 I1 = 0.5 A A1 I2 = 1.0 A A2 What is the equivalent resistance, Req, of this circuit? 25. The following electric circuit consists of a power source, two resistors (R1 and R2) and an ammeter A . The ammeter reads 2 A. I=2 A A Vt R1 10 Ω R2 10 Ω What is the potential difference (voltage), Vt, across the terminals of the power source? 26. The following circuit consists of a battery, two resistors (R1 and R2), a voltmeter V and an ammeter A . The voltmeter reads 15 V and the ammeter reads 0.5 A. V = 15 V V I = 0.5 A A R1 R2 25 Ω ? What is the resistance of resistor R2? 27. An electric circuit consists of a power supply, an ammeter resistors (R1 and R2). Ammeter A , a voltmeter V1 and two A reads 0.5 A, the potential difference measured across the terminals of the power V supply is 10 V and the voltmeter 1 reads 4 V. What is the resistance of resistor R2? A 28. The following electric circuit consists of a power supply, an ammeter and three resistors (R1, R2 and R3). The voltage across the power supply is 15 V, and the ammeter reads 0.15 A. VT = 15 V I = 0.15 A A R3 = ? R1 = 30 R2 = 50 What is the value of R3? 29. The following electric circuit consists of a power supply, VT, an ammeter resistors (R1, R2 and R3). The potential difference across the terminals of the power supply is 15 V. 18 R1 VT = 15 V R2 18 R3 A and three identical 18 A I=? What is the current intensity reading, I, given by the ammeter? 30. The following electric circuit consists of a power supply, VT, two ammeters AT and A2 , and two different resistors (R1 and R2). VT = 12 V R1 10 IT = 2.1 A AT R2 A2 I2 = ? The potential difference across the terminals of the power supply is 12 V, and the current intensity intensity at AT is 2.1 A. The resistance of resistor R1 is 10 . The resistance of resistor R2 is unknown. What is the current intensity, I2, flowing through resistor R2? 31. The following electric circuit consists of a power supply, VT, three resistors, (R1, R2 and R3) and a V voltmeter . The potential difference is 40 V across the terminals of the power supply and 10 V across the terminals of resistor R3. R1 = ? R2 = 10 VT = 40 V R3 = 20 V V3 = 10 V What is the resistance of resistor R1? 32. The following two electric circuits consists of a power supply, VT, an ammeter resistors (R1 and R2). and two identical Circuit 2 Circuit 1 VT A1 VT IT = 0.4 A IT = 0.4 A A1 R1 A1 R1 R2 R2 The total current intensity, IT, in both circuits is 0.4 A. A What is the current intensity reading given by ammeter 1 in each circuit? A) The ammeter reads 0.2 A in Circuit 1 and 0.2 A in Circuit 2. B) The ammeter reads 0.2 A in Circuit 1 and 0.4 A in Circuit 2. C) The ammeter reads 0.4 A in Circuit 1 and 0.2 A in Circuit 2. D) The ammeter reads 0.4 A in Circuit 1 and 0.4 A in Circuit 2. 33. In the laboratory, you are given a power supply ( below. ), conducting wires and the six resistors shown Using the power supply and two of these resistors, you must build two circuits that each have an equivalent resistance of 100 .