A 40 Ω resistor and a 50 μ F capacitor are connected in series and supplied with an alternating voltage v = 283 sin 314 t. The supply is switched on at the instant when the voltage is zero. Determine the expression for the instantaneous current at time t.

A 40 Ω resistor and a 50 μ F capacitor are connected in series and supplied with an alternating voltage v = 283 sin 314 t. The supply is switched on at the instant when the voltage is zero. Determine the expression for the instantaneous current at time t.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.2P: Convert the following instantaneous currents to phasors, using cos(t) as the reference. Give your...

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Concept explainers

Magnetically Coupled Circuit

When two loops of a circuit with or without any physical contact affect each other with the help of magnetic fields, the circuits are said to be magnetically coupled. Magnetically coupled circuits are important parameters in electrical engineering. The most common example of a magnetically coupled circuit is a transformer. The transformer is a device used to transfer electric energy from one circuit to another. The primary winding and secondary winding are the main elements of a transformer. The primary winding creates varying magnetic flux and the secondary winding induces the electromotive force due to the effect of magnetic flux created by the primary winding.

Question

A 40 Ω resistor and a 50 μ F capacitor are connected in series and supplied with an
alternating voltage v = 283 sin 314 t. The supply is switched on at the instant when the voltage
is zero. Determine the expression for the instantaneous current at time t.

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