To determine Find the expression of charge q ( t ) . Explanation Given data: The current entering the upper terminal ( i ) is 24 cos ( 4000 t ) A . The charge at upper terminal is zero q ( 0 ) = 0 at that instant current passing through its maximum value. Formula used: Write an expression to calculate the current. i = d q d t (1) Here, d q d t is the rate of change of charge with respect to time. Calculation: The given circuit element is redrawn as Figure 1. The value of current is, i = 24 cos ( 4000 t ) A Substitute 24 cos 4000 t A for i in equation (1) to find d q d t . d q d t = 24 ( cos 4000 t ) A (2) Integrate the equation (2) on both sides. ∫ q ( 0 ) q ( t ) d q d t = ∫ 0 t 24 cos ( 4000 t ) A [ q ] q ( 0 ) q ( t ) = 24 [ sin ( 4000 t ) 4000 ] 0 t A ⋅ s q ( t ) − q ( 0 ) = 24 4000 [ sin ( 4000 t ) − sin ( 4000 ( 0 ) ) ] C x

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Author: James W. Nilsson, Susan Riedel

Publisher: PEARSON

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Coulomb’s Law

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Chapter 1, Problem 7P

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Find the expression of charge q(t).

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Electric Circuits. (11th Edition)

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Introduction to Coulomb's Law or the Electric Force; Author: Flipping Physics;https://www.youtube.com/watch?v=4ubqby1Id4g;License: Standard YouTube License, CC-BY