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    • Home
    • About Edwin Gray
    • Youtube Links
    • RDC Theory
    • Equations & Derivations
    • Prototype Builds
    • RDC Applications
  • Home
  • About Edwin Gray
  • Youtube Links
  • RDC Theory
  • Equations & Derivations
  • Prototype Builds
  • RDC Applications

 

Wireless Charging Efficiency

RDC facilitates capacitive wireless power transfer through displacement current J_d = ε₀ ∂E/∂t from pulsed electric fields, with efficiency η = U² / (1 + √(1 + U²))², U = k Q, k ∝ 1/d. This yields 90-95% efficiency over 10-50 cm, tolerant to misalignment (<30° offset retains >80% η), with minimal Bremsstrahlung loss η_rad ≈ 2.2e-4. Inductive charging (η_ind ≈ k² Q1 Q2 / (1 + k² Q1 Q2), k ∝ 1/d^3) averages 70% at short ranges, dropping below 50% beyond 10 mm due to magnetic losses and alignment sensitivity.


Battery Charging

RDC charges batteries via pulsed recovery, minimizing conduction J_c = σ E and heat from I²R losses. Pulses (>500 V/ns, τ=3ns) induce displacement dominance (ratio 2.95e12), enabling η = η_t / (1 - r η_t), r=0.27, for 10-30% faster charging with 20-40% less thermal degradation vs. constant DC (C-rate limited by diffusion/ohmic heating). Reduces dendrite formation in Li-ion via controlled ion migration.


Load Powering (Motors, Bulbs)

RDC powers motors/bulbs with transients creating J_d dominance, reducing heat/shock. Energy model E_net = E_c (1 - r η_t) recycles 27%, yielding 2-6x efficiency for 20-35W loads (e.g., 775 motor: 35-71 min runtime, 11-43% extension). Motors use nylon-core electromagnets via ∂E/∂t-induced B fields without conduction losses; bulbs emit via cold plasma excitation, submergible without hazard.


Eddy Currents Reduction

RDC minimizes eddy currents J_e from ∂B/∂t, as J_d generates B with low J_c (dominance 2.95e12), reducing induced emf ε = -dΦ_B/dt and J_e = σ E_ind. Cuts losses 80-90% vs. rippled DC (eddy ∝ f²), enabling cooler operation in conductors.


Other Uses (Cold Plasma, Fusion Aid, Propulsion)

Cold plasma: RDC pulses ionize gas with low thermal energy, for sterilization/decontamination. Fusion aid: Enhances plasma confinement via ∂E/∂t fields, boosting ion density. Propulsion: Generates thrust through asymmetric J_d in dielectrics, with efficiency η ≈ 1 - η_rad (2.2e-4), for ion drives or field propulsion.

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