Practice Parallel Circuit in Physics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

A circuit in which components are connected across the same two points, so each has the same voltage across it.

Like a river splitting into branches โ€” the water (current) divides, but the pressure drop (voltage) across each branch is the same.

Example 1

medium
Two resistors (6 \text{ } \Omega and 12 \text{ } \Omega) are connected in parallel to a 12 \text{ V} battery. What is the total resistance and the current through each resistor?

Example 2

hard
Three identical 30 \text{ } \Omega resistors are connected in parallel. What is the total resistance?

Example 3

medium
A 10 \text{ } \Omega and a 15 \text{ } \Omega resistor are in parallel. What is the combined resistance?

Example 4

medium
Three resistors of 6 \text{ } \Omega, 12 \text{ } \Omega, and 4 \text{ } \Omega are connected in parallel. Find the total resistance.

Example 5

medium
Two resistors (10 \text{ } \Omega and 15 \text{ } \Omega) are connected in parallel across a 30 \text{ V} supply. Find: (a) total resistance, (b) total current, (c) current through each resistor.