Question bank: Electricity: Series Resistors

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Question 1:

Medium

In an experimental Physics class, students were challenged to analyze a circuit containing three resistors in series, with resistances R1 = 2 Ω, R2 = 4 Ω, and R3 = 6 Ω, connected to a 12 V voltage source. a) Calculate the total resistance of the circuit. b) Determine the electric current passing through the three resistors. c) Calculate the voltage across each of the resistors.

Electricity: Series Resistors

Question 2:

Hard

In a Physics experiment, a student needs to determine the equivalent resistance of a circuit that contains three resistors connected in series. The resistance values are R1 = 10 Ohms, R2 = 20 Ohms, and R3 = 30 Ohms. Additionally, the student knows that the total power dissipated in the circuit is 1440 Watts. Considering the concept of resistors in series and Joule's law, which establishes that the power dissipated in a resistor is directly proportional to the square of the current passing through it and the resistance of the resistor, calculate the total current passing through the circuit. Given: The power P dissipated in a resistor with resistance R and current I is given by P = I^2 * R.

Electricity: Series Resistors

Multidisciplinary Question

Question 3:

Medium

A group of students is conducting a science project on electricity and they are building an electrical circuit with three resistors in series. The first resistor has 4Ω, the second has 6Ω, and the third has 2Ω. They connect these three resistors to a 12V battery and are curious about how the current and voltage are distributed in the circuit. Considering this situation: a) Calculate the total resistance of the circuit. b) Determine the total current in the circuit. c) Identify the voltage across each resistor and share your observations on the work done by the resistors regarding sustainability and energy efficiency.

Electricity: Series Resistors

Question 4:

Medium

A company wants to create a simple circuit using three resistors in series to control the electric current in an electronic device. The resistors have resistances equal to 4 ohms, 6 ohms, and 10 ohms. Considering that the current in the circuit is constant and that the electrical power consumed by each resistor is directly proportional to its resistance, what is the power dissipated in the 10-ohm resistor if the total voltage applied to the circuit is 40V?

Electricity: Series Resistors

Question 5:

Hard

In a Physics laboratory, a high school student is conducting an experiment to study the behavior of resistors in an electrical circuit. He sets up a circuit in series with five resistors of different values: R1 = 10 ohms, R2 = 20 ohms, R3 = 30 ohms, R4 = 40 ohms, and R5 = 50 ohms. A constant voltage source of 120 volts is connected to the circuit, and the student wants to calculate the current passing through each of the resistors. The resistors are connected in a way that the current passing through one of them also passes through all the others. Considering that the behavior of the resistors is ideal and that there are no inductive effects, calculate the current passing through each of the resistors. (Use Ohm's law and the rules of resistors in series to solve the problem, ignoring possible temperature variations that could alter the resistance values of the components).

Electricity: Series Resistors

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