A sinusoidal current of amplitude 10 A and frequency of 10 kHz is applied and allowed to flow through a 10 mH inductor. Find the voltage across the inductor.
A sinusoidal current of amplitude 10 A and frequency of 10 kHz is applied and allowed to flow through a 10 mH inductor. Find the voltage across the inductor.
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter24: Resistive-inductive-capacitive Parallel Circuits
Section: Chapter Questions
Problem 1RQ: An AC circuit contains a 24 resistor, a 15.9-mH inductor, and a 13.3F capacitor connected in...
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Question
A sinusoidal current of amplitude 10 A and frequency of 10 kHz is applied and allowed to flow through a 10 mH inductor. Find the voltage across the inductor.
Expert Solution
Step 1
If i(t) A is the time varying current flowing through an inductor of inductance L H, then the voltage developed across the inductor can be expressed as
Step 2
In this case, the value of the inductor is given as 10 mH. The current is of sinusoidal nature with an amplitude of 10 A and frequency of 10 kHz. So, the expression of the current can be written as
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