The quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm² varies with time according to the equation q = 6t³ + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t= 0.950 s? 19.245 ✔A (b) What is the value of the current density? 987 |x What is the relationship between current and current density? kA/m²

The quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm² varies with time according to the equation q = 6t³ + 3t + 6, where t is in seconds. (a) What is the instantaneous current through the surface at t= 0.950 s? 19.245 ✔A (b) What is the value of the current density? 987 |x What is the relationship between current and 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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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

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The quantity of charge q (in coulombs) that has passed through a surface of area 1.95 cm² varies with time according to the equation q = 6t³ + 3t + 6, where t is in seconds.
(a) What is the instantaneous current through the surface at t = 0.950 s?
19.245
✔A
(b) What is the value of the current density?
987
X
What is the relationship between current and current density? kA/m²

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