Chapter 17 review

    Quantitative problems
      Section 17.3
      1. Three resistors, each having a resistance of 25 Ω, are connected in series. What is their effective resistance?

      2. A hair dryer and a curling iron have resistances of 15 Ω and 25 Ω, respectively, and are connected in series. They are connected to a 60 V battery. Calculate the
        1. current through the circuit.
        2. power used by the hair dryer.
        3. power used by the curling iron.

      3. A 100 W light bulb is plugged into a 120 V socket.
        1. How much current is drawn by the light bulb?
        2. Using your value for the current, determine the value of the bulb’s resistance.

      4. Easy Three resistors, each having a resistance of 30 Ω, are connected in parallel with each other. What is the value of their effective resistance?

      5. Easy A string of 50 identical tree lights connected in series dissipates 100 W when connected to a 120 V power outlet.
        1. What is the equivalent resistance of the string?
        2. What is the resistance of each individual light?
        3. How much power is dissipated by each light?

      6. Easy Suppose that you are experimenting with a 15 V source and two resistors: R1 = 2500 Ω and R2 = 25 Ω. Find the current for a, b, c, and d below. What do you notice?
        1. R1 in series with R2
        2. R1 in a circuit alone
        3. R1 in parallel with R2
        4. R2 in a circuit alone

        7. Electric circuit for question
      7. Medium Consider the circuit shown.
        1. Calculate the effective resistance.
        2. Calculate the current I.

      8. Medium A 20 Ω lamp and a 30 Ω lamp are connected in series with a 10 V battery. Calculate the following:
        1. the equivalent resistance
        2. the current through the circuit
        3. the voltage drop across the 20 Ω lamp
        4. the voltage drop across the 30 Ω lamp
        5. the power dissipated by the 20 Ω lamp
        6. the power dissipated by the 30 Ω lamp

      1. A hair dryer and a curling iron have resistances of 15 Ω and 25 Ω, respectively, and are connected in parallel. They are connected to a 60 V battery.
        1. Calculate the current through the circuit.
        2. Calculate the power used by the hair dryer.
        3. Calculate the power used by the curling iron.

      2. Medium A 20 Ω lamp and a 30 Ω lamp are connected in parallel with a 10 V battery. Calculate the following:
        1. the equivalent resistance
        2. the current through the circuit
        3. the voltage drop across the 20 Ω lamp
        4. the voltage drop across the 30 Ω lamp
        5. the power dissipated by the 20 Ω lamp
        6. the power dissipated by the 30 Ω lamp

      3. Medium A 1,000 W immersion heater, a 700 W microwave oven, and a 1,200 W toaster oven are all plugged into a single 120 V outlet. The outlet is connected to a 15 A circuit breaker. Will the circuit breaker trip?

      4. Medium Use Ohm’s law and the equation P = IV to find the power of a simple circuit with a 5 V voltage source and a 2 kΩ resistor.

      5. Medium You have a 30 V source and two resistors: R1 = 10 Ω and R2 = 25 Ω. Find the current in a circuit with the resistors connected in parallel. What is the current through each resistor if they are connected to the power supply separately? Do you notice anything?

      6. Challenging A voltage divider is a series circuit that is used to produce a specific voltage across one of its resistors. Find a symbolic expression for the voltage V2 across resistor R2 using circuit elements V, R1, and R2.

        7. Voltage versus current graph for a 20 Ω resistor
      7. Medium The voltage versus current graph shows a constant power curve of a resistor R = 20 Ω.
        1. What is the operating voltage?
        2. What is the operating current?

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