Solve problems involving finding equivalent resistance, electrical potential difference and electric currents in series and parallel circuits using 𝑃 = 𝑉𝐼, 𝑃 = 𝐼2 𝑅, 𝑉𝑡 = 𝑉1 + 𝑉2 + ⋯ 𝑉𝑛, 𝑅𝑡 = 𝑅1 + 𝑅2 + ⋯ 𝑅𝑛, 𝐼𝑡 = 𝐼1 + 𝐼2 + ⋯ 𝐼𝑛, 1 𝑅𝑡 = 1 𝑅1 + 1 𝑅2 + ⋯ 1 𝑅𝑛.

The circuit diagram shows three resistors connected to a 12 V power supply. What is the current flowing through the 6.0 Ω resistor?

A household lighting circuit contains three lamps connected in parallel. The table below shows measurements taken for each lamp. Refer to the table below. Determine the total current supplied by the power source and the total power dissipated by the circuit. Show your working.

Two resistors are connected in parallel to a power supply. Resistor A has a resistance of $12 \, \Omega$ and resistor B has a resistance of $6 \, \Omega$. The current flowing through resistor B is $2.0 \, \text{A}$. Determine the potential difference across resistor A.

A household circuit contains three resistive appliances connected in parallel to a 240 V supply. A toaster draws 4.5 A, a kettle draws 8.2 A, and a microwave draws 5.8 A. The parallel combination is connected to the supply through a single series resistor of 2.0 Ω, which represents the resistance of the supply wiring. Determine the total power dissipated in the supply wiring. Show your working.