THE PRACTICE STUDIO

Physics practice.
One idea at a time.

Choose a topic, try a problem, and work through the reasoning. Take a hint when you need one. Keep going when it clicks.

435 problems11 topic collections72 study chapters

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Practice collections

Browse all 435 problems ↓
01

Build the foundations

Start with one principle and a clear model.

02

Connect the ideas

Choose the right method and carry it through.

03

Take on a challenge

Combine constraints, conservation laws and careful reasoning.

PRACTISE AT YOUR PACE

Explore all problems

9 problems

Beginner01

Electricity & circuits

A long route between equal potentials

What is the total work done by the electrostatic field?

Compare cases
Electric potentialEquipotential surfaces
Start problem
Intermediate02

Electricity & circuits

Energy gained by a negative probe

What is its final kinetic energy?

Apply a principle
Electrostatic potential energyElectric potential
Start problem
Advanced03

Electricity & circuits

Add one charge without recounting old pairs

What work does the external agent do during this addition?

Connect concepts
Electrostatic potential energyElectric potential
Start problem
Beginner04

Electricity & circuits

Move within an empty conducting shell

In the test-charge limit, what is the source potential at the centre?

Compare cases
Electrostatic conductorsElectric potential
Start problem
Intermediate05

Electricity & circuits

An energy budget can rule out a destination

What potential rise would reduce its kinetic energy to zero?

Find a missing quantity
Electrostatic potential energyElectric potential
Start problem
Intermediate06

Modern physics

What does four times the accelerating voltage do?

What is the ratio of the second de Broglie wavelength to the first?

Compare cases
De Broglie wavelengthElectric potential
Start problem
Advanced07

Magnetism & induction

A voltage sets the later orbit size

Find its circular orbit radius in the magnetic field.

Connect concepts
Charged-particle circular motionElectric potential
Start problem
Intermediate08

Electricity & circuits

Potential near a positive charge

Find the electric potential 0.30 m from it.

Apply a principle
Electric potential
Start problem
Intermediate09

Electricity & circuits

A negative charge moves to higher potential

Find its electric potential-energy change.

Apply a principle
Electrostatic potential energyElectric potential
Start problem