PHY101_Lesson_10_Problem_Set_4_R (1)

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Electrical Engineering

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Feb 20, 2024

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Name Zachery Allen Section ______ Date 7/10/2023 Lesson 10 Problem Set 4 Electricity and Circuits Directions Several of the following problems are missing some of the given variable information (labeled in red with “ ABI ” or assigned by instructor). Your instructor will provide the values through the Message Center, in the “From Your Instructor” section of the lesson, or in an Announcement on the course Home Page. Use the values provided by your instructor to answer each question. Show all work with units in your work. Use appropriate labels and units. Be sure to type all work, diagrams, explanations, and final answers as it is too difficult to read hand-written work after going through the various systems to get to your instructor. Also, this is good practice as you will have to type the midterm and final exam free response items as well. 1. You have a closed circuit consisting of 2 batteries, 2 light bulbs, and a switch. Explain using the terms discussed within the lesson how you could: a. Increase the current in the circuit. (5 points) Increase the voltage: The current in a circuit is directly proportional to the voltage. By increasing the voltage supplied by the batteries, you can increase the current. You can achieve this by using batteries with higher voltage or by connecting multiple batteries in series to increase the total voltage. b. Decrease the current in the circuit. (5 points) Increase the resistance: The current in a circuit is inversely proportional to the resistance. By increasing the resistance, you limit the flow of current. You can achieve this by using higher resistance components or by adding resistors in series with the circuit . 2. What is the voltage of a bulb that has a resistance ABI Ω? The current through the bulb is ABI A. (5 points) V = I * R V = 3 A * 20 Ω , V = 60 V

3. Jack makes a protein shake every morning. The blender used ABI W of Power. If the current supplied is ABI A, how many volts are necessary to make the smoothie? (5 points) P = I * V V = P / I V = 550 W / 5 A , V = 110 V 4. For the circuit below, calculate the total current for the circuit and the voltage at each resistor. (Note – the resistor values and voltage will be assigned by instructor ( ABI )). (10 points) R_total = R1 + R2 + R3 + R4 = 10 Ω + 10 Ω + 10 Ω + 10 Ω = 40 Ω I_total = V / R_total I_total = 12 V / 40 Ω I_total = 0.3 A Therefore, the total current in the circuit is 0.3 Amperes (A). V_resistor = I_total * R V_resistor = 0.3 A * 10 Ω V_resistor = 3 V Thus, the voltage across each resistor in the circuit is 3 Volts.

5. For the circuit below, calculate the total current for the circuit and the voltage at each resistor. (Note – the resistor values and voltage will be assigned by instructor ( ABI )). (10 points) R_total = 10/4 Ω R_total = 2.5 Ω

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I_total = V / R_total I_total = 12 V / 2.5 Ω I_total = 4.8 A Therefore, the total current in the parallel circuit is 4.8 Amperes (A). Since the resistors are in parallel, the voltage across each resistor (V_resistor) is the same and equal to the source voltage (V): V_resistor = V = 12 Volts