Skip to main content
CalcPro

Bean Critical State Superconducting AC Hysteresis Loss Calculator

Easily calculate and compute bean critical state superconducting ac hysteresis loss calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
7,205.5 J/m³

Hysteresis Energy Loss per Cycle (Q_h)

Hysteresis Energy Loss per Cycle (Q_h)

7,205.5 J/m³

Hysteresis Loss Per Cycle J Per M3

7205.5

Full Penetration Field Bp Tesla

0.024

Flux Penetration Regime

FULL FLUX PENETRATION REGIME (B_max > B_p)

Peak Applied Field Tesla

0.4

7,205.5 — J/m³

Calculation Breakdown

  1. Applied FormulaCalculates magnetization AC hysteresis losses in Type-II superconducting wires (NbTi, Nb3Sn, REBCO) carrying alternating magnetic fields using C.P. Bean’s critical state model.Q_h = \frac{2 B_{\text{max}}^3}{3 \mu_0^2 J_c d} \quad (B_{\text{max}} \le B_p), \quad B_p = \mu_0 J_c d

Bean Model Hysteresis Loss Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.01.8k3.6k5.4k7.2kHysteresis Energy Loss per Cycle (Q_h)

What Is the Bean Critical State Superconducting AC Hysteresis Loss Calculator?

The Bean Critical State Superconducting AC Hysteresis Loss Calculator computes results using established domain formulas, verified conversion factors, and user-entered parameters.

How Does the Bean Critical State Superconducting AC Hysteresis Loss Calculator Work?

Calculates magnetization AC hysteresis losses in Type-II superconducting wires (NbTi, Nb3Sn, REBCO) carrying alternating magnetic fields using C.P. Bean’s critical state model.

Bean Critical State Superconducting AC Hysteresis Loss Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Qh=2Bmax33μ02Jcd(Bmax≤Bp),Bp=μ0JcdQ_h = \frac{2 B_{\text{max}}^3}{3 \mu_0^2 J_c d} \quad (B_{\text{max}} \le B_p), \quad B_p = \mu_0 J_c d

Calculates magnetization AC hysteresis losses in Type-II superconducting wires (NbTi, Nb3Sn, REBCO) carrying alternating magnetic fields using C.P. Bean’s critical state model.

How to Use the Bean Critical State Superconducting AC Hysteresis Loss Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Bean Critical State Superconducting AC Hysteresis Loss Calculator Example

Input Values:

peakAppliedFieldTesla:0.4
criticalCurrentDensityAmpsM2:2500000000
filamentDiameterMicrons:15
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required J/m³.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.