PHYSICS PRACTICE

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of real world physics problems in multiple domains of engineering

Problems

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MRI Gradient Coil System Design for Brain Imaging

MRI Gradient Coil System Design for Brain Imaging

Electromagnetismhard
🕐60 min

Design an actively shielded gradient coil system for a 1.5 Tesla clinical MRI scanner. Calculate current requirements, inductance constraints, thermal dissipation, Lorentz forces, and verify compliance with IEC 60601-2-33 safety standards for peripheral nerve stimulation.

electromagnetic-inductionlorentz-forceeddy-currents+5 more
Grid-Scale Lithium-Ion Battery Energy Storage System for Solar PV Power Smoothing

Grid-Scale Lithium-Ion Battery Energy Storage System for Solar PV Power Smoothing

Thermodynamicshard
🕐60 min

Design a grid-scale battery energy storage system to smooth solar PV output and provide frequency regulation. Calculate minimum capacity requirements, optimal operating strategy, degradation modeling, round-trip efficiency losses, and economic viability including levelized cost of storage.

energy-storagebattery-degradationround-trip-efficiency+5 more
Quantum Dot Single-Photon Source for Fiber-Based Quantum Key Distribution

Quantum Dot Single-Photon Source for Fiber-Based Quantum Key Distribution

Modern Physicshard
🕐65 min

Design a quantum dot single-photon source for quantum key distribution networks. Calculate energy levels, Purcell enhancement, radiative lifetimes, decoherence mechanisms, and system efficiency to achieve secure key rates over metropolitan fiber distances.

quantum-dotscavity-qedpurcell-effect+5 more
Relativistic Time Dilation Corrections in Global Navigation Satellite Systems

Relativistic Time Dilation Corrections in Global Navigation Satellite Systems

Modern Physicshard
🕐55 min

Calculate special and general relativistic time dilation effects on GPS satellite atomic clocks. Determine orbital velocity, Lorentz factor, gravitational time dilation, net clock drift, and the required pre-launch frequency offset to maintain system accuracy.

special-relativitygeneral-relativitytime-dilation+5 more
Off-Road Vehicle Suspension System Design for Obstacle Traversal

Off-Road Vehicle Suspension System Design for Obstacle Traversal

Mechanicshard
🕐50 min

Design a suspension system for an off-road vehicle to safely traverse a 100mm obstacle while meeting passenger comfort limits. Calculate spring stiffness, damping coefficients, maximum safe velocity, and required suspension travel using quarter-car modeling principles.

suspension-systemsspring-damperquarter-car-model+6 more
Showing 1-5 of 5 problems