Give me exercise questions on parallel and series connection of resistors

Answer 1

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).