Give me exercise questions on parallel and series connection of resistors

1. Series Connection:

a. Calculate the total resistance of a series circuit with three resistors of 10Ω, 15Ω, and 20Ω connected in series.
b. If a 12V battery is connected to a series circuit with two resistors of 5Ω and 8Ω, calculate the total current flowing through the circuit.

2. Parallel Connection:
a. Determine the equivalent resistance of a parallel circuit with two resistors of 6Ω and 8Ω.
b. In a parallel circuit with three resistors of 12Ω, 15Ω, and 20Ω, calculate the total current flowing through the circuit when connected to a 24V power supply.

3. Combination of Series and Parallel Connections:
a. In a circuit, three resistors are connected in series (10Ω, 15Ω, and 20Ω), and this series combination is connected in parallel to another resistor of 8Ω. Calculate the total resistance of this circuit.
b. A circuit has three resistors connected in parallel (6Ω, 8Ω, and 10Ω), and this parallel combination is connected in series to another resistor of 12Ω. Calculate the total resistance of this circuit.

Note: Ω represents the unit of resistance (ohms).

Sure! Here are some exercise questions on parallel and series connection of resistors:

Question 1: In a series circuit, three resistors with resistances of 10Ω, 15Ω, and 20Ω are connected in series to a 12V battery. Calculate the total resistance in the circuit and the current flowing through it.

Question 2: In a parallel circuit, two resistors with resistances of 6Ω and 8Ω are connected in parallel to a 24V battery. Calculate the total resistance in the circuit and the total current flowing through it.

Question 3: In a series circuit, four resistors with resistances of 5Ω, 10Ω, 15Ω, and 20Ω are connected in series to a 9V battery. Calculate the total resistance in the circuit and the current flowing through it.

Question 4: In a parallel circuit, three resistors with resistances of 2Ω, 4Ω, and 6Ω are connected in parallel to a 12V battery. Calculate the total resistance in the circuit and the total current flowing through it.

Question 5: In a series circuit, two resistors with resistances of 8Ω and 12Ω are connected in series to a 10V battery. Calculate the total resistance in the circuit and the current flowing through it.

These questions should help you practice your understanding of parallel and series connections of resistors.