MR Field Sim // 3.0T Magnetic Field & Biomechanical Exposure Simulator

// VIEWPORT: 3D Magnetic Field & Scanner View | RATE: 60 FPS

// ACTIVE_FIELD:

Cutaway Coils Field Lines 5G Line DSV 50cm Patient

⚡ // DERIVATIVE_FIELDS:

ℹ️ RELATIVE (0–100%): Normalized spatial distributions. Actual forces depend on object mass, volume, and material saturation.

// Isocenter (0,0,0): 3.0000 T (30,000 G)

// Table Z: 0.00 m | DSV: 50 cm Sphere (±5 ppm)

CONTROLS: LEFT CLICK: ORBIT | RIGHT CLICK: PAN | SCROLL: ZOOM

// Subsystems

Primary Coils (3T)

Active Shield Coils

Gradient Coils (Gx, Gy, Gz)

Body RF Birdcage

5G Perimeter

⚡ // B₀ MECHANICAL FORCES: TRANSLATIONAL GRADIENT ($F$) & ROTATIONAL TORQUE ($\tau$)

Observe projectile "missile effect" acceleration ($F \propto \nabla B$) versus implant alignment torque ($\tau \propto B_0$)

Object:

Interactive Bore Field & Vector Visualizer | Object Positioned at Bore Entrance (z = 0.85 m)

F_trans (Newtons) Torque τ (N·m)

Object: Steel Wrench (Carbon Steel)

Z-Position: 0.85 m | Angle θ: 90°

Field B(z): 2.14 T | |dB/dz|: 3.18 T/m

Z: 0.85m

θ: 90°

Translational Force (Spatial Gradient Missile Effect) ASTM F2052: FAIL (Lethal)

Caused by spatial magnetic gradient: F_trans = (m · ∇)B ≈ M_sat · V · (dB/dz). Pulls objects toward the bore center with crushing acceleration.

Net Force (F): 346.5 N (77.9 lbf)

Acceleration (a): 692.6 m/s² (70.6 g)

Deflection Angle (α): 89.2° (Limit: 45°)

Force / Weight Ratio: 70.6x

⚠️ Extreme projectile risk: Force exceeds gravity by 70x. Unrestrained objects become lethal high-speed missiles.

Rotational Force / Torque (Alignment with B₀) Severe Twisting Hazard

Torque aligns magnetic dipoles parallel with field lines: τ = m × B₀ = m · B₀ · sin(θ). Peaks at θ = 90° and is maximum at isocenter!

Instantaneous Torque (τ): 216.6 N·m

Peak Torque (θ=90°): 216.6 N·m

Torque / Gravity Ratio: 353x

Equiv. Lever Mass (at 1m): 22.1 kg

🔄 Violent twisting torque: Will violently wrench tools out of hands or rip ferromagnetic implants/clips from tissue.

Axial Distribution Comparison: Translational Force vs Rotational Torque Notice: Torque peaks at Isocenter ($z=0$), while Translational Force peaks at Bore Entrance ($z \approx \pm 0.8\text{m}$)

F_trans(z) [N] Torque τ_max(z) [N·m]

⚙️ // HARDWARE_SUBSYSTEMS

MCRN // 3.0T_SPEC

// B₀ STATIC MAGNET 3.0 Tesla

Nominal Center Field: 3.00 T

0.55T 1.5T 3.0T 7.0T

Active Cryo-Shielding High-Homogeneity DSV (50cm)

// GRADIENT ENGINE Active

Gz (Slice): 0.0 mT/m

Gx (Readout): 0.0 mT/m

Gy (Phase Encode): 0.0 mT/m

// BODY RF BIRDCAGE (B₁⁺) Active

RF Flip Angle / B₁ Power: 90° (15 µT)

Tissue Dielectric Shading 127.74 MHz

Estimated Body SAR: 1.2 W/kg (Normal)

🛌 // BED_TRANSLATION

Stationary

Bed Axial Position (Z): 0.00 m (0 mm)

-2.2m (Outside) 0.0m (Isocenter) +2.2m (Through)

Anatomical Alignment Presets:

Table Motor:

📊 // PATIENT_BIOMECHANICAL_HUD

IEC 60601-2-33 Standards

Head / Brain Sensor Safe

Field B₀: 2.98 T (29,800 G)

Spatial Gradient: 0.12 T/m

B · |dB/dz| (Force): 0.36 T²/m

Motion dB/dt: 0.00 T/s

ℹ️ Positioned in high-homogeneity imaging DSV

Cardiac / Thorax Sensor Safe

Field B₀: 3.00 T (30,000 G)

MHD Artifact: +180% T-wave

Spatial Gradient: 0.05 T/m

Peak RF B₁: 14.8 µT

ℹ️ MHD aortic flow potential present; pacemakers restricted

Abdomen / Core Sensor Safe

Field B₀: 3.00 T

Local SAR: 1.4 W/kg

Dielectric Factor: 1.15x

B · |dB/dz|: 0.08 T²/m

ℹ️ RF heating in normal operating zone (<2.0 W/kg)

Lower Extremities Sensor Safe

Field B₀: 2.65 T

Spatial Gradient: 1.45 T/m

B · |dB/dz|: 3.84 T²/m

PNS Stim Risk: Low

ℹ️ Caution: Ensure no skin-to-skin conductive loop

⚠️ // FOREIGN_BODY_IMPLANT NONE (CLEAN)

Attach foreign body / metallic inclusion to an anatomical organ to test B₀ translational displacement and twisting torque.

// SIMULATION & EDUCATIONAL USE ONLY

This simulator is for educational use only, not for clinical use.

Field profiles, spatial gradients, and physiological metrics are conceptual approximations and are not representative of any particular scanner model or sequence.

MR FIELD SIM SYS // 3.0T_ACTIVE

⚡ // B₀ MECHANICAL FORCES: TRANSLATIONAL GRADIENT ($F$) & ROTATIONAL TORQUE ($\tau$)

// FIELD_MANUAL MRI MAGNETIC FIELDS & CLINICAL SAFETY STANDARDS

// 01 // STATIC FIELD (B₀ = 3.0T)

// 02 // GRADIENTS (Gx, Gy, Gz)

// 03 // RF BIRDCAGE (127.7 MHz)

// 04 // PATIENT BIOEFFECTS

⚙️ // HARDWARE_SUBSYSTEMS

🛌 // BED_TRANSLATION

📊 // PATIENT_BIOMECHANICAL_HUD

MR FIELD SIM // 3.0T DEVELOPMENT

⚡ // B₀ MECHANICAL FORCES: TRANSLATIONAL GRADIENT ($F$) & ROTATIONAL TORQUE ($\tau$)

// FIELD_MANUAL MRI MAGNETIC FIELDS & CLINICAL SAFETY STANDARDS

// 01 // STATIC FIELD (B₀ = 3.0T)

// 02 // GRADIENTS (Gx, Gy, Gz)

// 03 // RF BIRDCAGE (127.7 MHz)

// 04 // PATIENT BIOEFFECTS

⚙️ // HARDWARE_SUBSYSTEMS

🛌 // BED_TRANSLATION

📊 // PATIENT_BIOMECHANICAL_HUD