Analytical Solution to the Problem of Charging a Capacitor Through a Lamp

  • Suhash Chandra Dutta Roy

An analytical solution is presented for the problem of charging a capacitor through a lamp, by assuming a polynomial relationship between the resistance of the lamp and the current flowing through it. The total energy dissipated in the lamp is also easily calculated thereby. An example of an available practical case is used to illustrate the theory.


Capacitor charging Differential equation Energy 



The author thanks Professor Jayadeva for his help in the preparation of Fig. 16.2.


  1. 1.
    R. Ross, P. Venugopal, On the problem of (dis) charging a capacitor through a lamp. Am. J. Phys. 74, 523–525 (2006)CrossRefGoogle Scholar

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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of Electrical EngineeringIndian Institute of Technology DelhiNew DelhiIndia

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