## Citation

Diwakar, K. and Senthilpari, Chinnaiyan and Rajasegharan, V. V. and Ebenezer, Immanuel (2021)*Role of 'e' in engineering applications.*Journal of Engineering Science and Technology., 16 (6). pp. 4612-4625. ISSN 1823-4690

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## Abstract

When elements or units are connected in a circuit or system whose individual output takes place at different time slots, then for the circuit or system, the input-output relation will suffer from continuous compounding. The output variable will continuously increase or decrease at a constant rate decided by the circuit or system parameters. Such circuits or system are specified by linear homogenous and nonhomogeneous differential equations and the general solutions contain the term (s) emx. Each term in such differential equation basically specifies the input-output relation of elements in which the outputs are taking place at different time slots. Three examples are taken namely RC circuit, Newton’s law of cooling and RLC circuit. The circuit or system equations are linear and hence continuous compounding at constant rate is taking place. When the equations are modified such that there is no definite constant time lag between the terms, then there is no continuous compounding at constant rate. That is, the solution will not contain the term(s) emx.

Item Type: | Article |
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Uncontrolled Keywords: | Complex sinusoids, Continuous compounding in RC circuit, Continuous compounding in RLC circuit, Continuous compounding in cooling process, Euler constant |

Subjects: | Q Science > QA Mathematics > QA440-699 Geometry. Trigonometry. Topology |

Divisions: | Faculty of Engineering (FOE) |

Depositing User: | Ms Nurul Iqtiani Ahmad |

Date Deposited: | 19 Jan 2022 08:04 |

Last Modified: | 19 Jan 2022 08:04 |

URII: | http://shdl.mmu.edu.my/id/eprint/9865 |

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