The quantity of charge q (in coulombs) that has passed through a surface of area 1.96 cm2 varies with time according to the equation q 4t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.00 s? (b) What is the value of the current density? KA/m2

The quantity of charge q (in coulombs) that has passed through a surface of area 1.96 cm2 varies with time according to the equation q 4t3 + 5t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t = 1.00 s? (b) What is the value of the current density? KA/m2

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 3P: The quantity of charge q (in coulombs) that has passed through a surface of area 2.00 cm2 varies...

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Question

The quantity of charge q (in coulombs) that has passed through a surface of area 1.96 cm2 varies with time according to the
equation q
4t3 + 5t + 6, where t is in seconds.
(a) What is the instantaneous current through the surface at t = 1.00 s?
(b) What is the value of the current density?
KA/m2

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