Skip to main content

Theoretical Verification of Formula for Charge Function in Time q = c * v in RC Circuit for Charging/Discharging of Fractional & Ideal Capacitor | Chapter 01 | Theory and Applications of Physical Science Vol. 1

Here in this Chapter the verification of newly developed formula of charge storage in capacitor as   q = c*v, in RC circuit, is carried out in order  to get validation for ideal loss less capacitor as well as fractional order capacitors for charging and discharging cases. This new formula is generalization of charge storage mechanism in capacitors dielectric relaxations (with and without memory effect), which is different to usual and conventional way of writing capacitance multiplied by voltage to get charge stored in a capacitor   i.e. q = cv. We use this new formulation i.e. q = c*v in the RC circuits to verify the results that are obtained via classical circuit theory, for a case of classical ideal loss less capacitor as well as for case for fractional capacitor. The use of this formulation is suited for super-capacitors, Constant Phase Elements (CPE), and for dielectric relaxations that show memory effect as they show fractional order in their behavior. This new formula is used to get the ‘memory effect’ that is observed in self-discharging phenomena of super-capacitors-that memorizes its history of charging profile. Special emphasis is given to detailed derivational steps in order to get clarity in usage of this new formula in the RC circuit examples. This Chapter validates the new formula of charge   storage q = c*v, in capacitor, for circuital usage.

Author(s) Details

Shantanu Das
Scientist Reactor Control Division, E&I Group BARC, Mumbai-400085, India and Department of Physics, Jadavpur University, Kolkata-700032, India.

View Volume: http://bp.bookpi.org/index.php/bpi/catalog/book/98
Labels:

Comments

Post a Comment

Popular posts from this blog

Greening Regional Airports: A Vision for Carbon Neutral Infrastructure | Chapter 12 | Contemporary Perspective on Science, Technology and Research Vol. 3

 This study provides an overview of the energy demand of a regional airport, divided into individual time horizons. The electrification of aircraft systems raises the question of whether airports will be among the largest electricity consumers in our infrastructure in the future. Sustainability and especially emission reductions are significant challenges for airports that are currently being addressed. The Clean Sky 2 project GENESIS addresses the environmental sustainability of hybrid-electric 50-passenger aircraft systems in a life cycle perspective to support the development of a technology roadmap for the transition to sustainable and competitive electric aircraft systems. This article originates from the GENESIS research and describes various options for ground power supply at a regional airport. Potential solutions for airport infrastructure with a short (2030), medium (2040), and long (2050) time horizon are proposed. In addition to the environmental and conservation benefi...
Post a Comment
Read more

There is No Standard Model of ZFC and ZFC2 | Chapter 03 | Advances in Mathematics and Computer Science Vol. 1

In this Chapter we obtain a contradictions in formal set theories under assumption that these theories have omega-models or nonstandard model with standard part. An possible generalization of Lob’s theorem is considered. Main results are: (i) ¬Con(ZF C+ ∃ M ZFC st ), (ii) ¬Con(N F+ ∃ M NF st ), (iii) ¬Con(ZF C 2 ), (iv) let k be an inaccessible cardinal then ¬Con(ZF C+ ∃ κ), (v) ¬Con(ZF C+ (V=L)), (vi) ¬Con(ZF+ (V=L)). Author   Details: Jaykov Foukzon Israel Institute of Technology, Haifa, Israel Men'kova Elena Romanovna All-Russian Research Institute for Optical and Physical Measurements, Moscow, Russia Read full article: http://bp.bookpi.org/index.php/bpi/catalog/view/46/221/408-1 View Volume: https://doi.org/10.9734/bpi/amacs/v1
Post a Comment
Read more

Occipital Dermal Sinus Tract Causing Craniospinal Infection: A Review | Chapter 13 | New Visions in Medicine and Medical Science Vol. 4

  Dermal sinus is a rare congenital condition characterized by a pathological tract connecting the skin to deeper tissues of the central nervous system, potentially leading to severe infectious complications. It arises from a failure in the separation of ectodermal layers during early gestation. Diagnosing dermal sinus tract in newborns requires a careful physical examination, focusing on midline dimples in the occipital region associated with cutaneous abnormalities like hairy nevus or hyperpigmentation. The presence of drainage, abnormal hair distribution, or localized swelling may indicate a sinus tract. Regular examination for dimples or sinuses is recommended for infants and children with recurrent meningitis or infections. Early detection is crucial to prevent severe complications like meningitis, with Staphylococcus aureus being a common causative organism. Neuroradiological studies, including computed tomography (CT) scan and magnetic resonance imaging (MRI), with histopath...
Post a Comment
Read more