What is the instantaneous current through the surface at t What is the value of the current density?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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What is the instantaneous current through the surface at t

What is the value of the current density?

**Problem Statement:**

The quantity of charge \( q \) (in coulombs) that has passed through a surface of area \( 1.90 \, \text{cm}^2 \) varies with time according to the equation:

\[ q = 4t^3 + 6t + 6, \]

where \( t \) is in seconds.

---

**Questions:**

(a) What is the instantaneous current through the surface at \( t = 0.900 \, \text{s} \)?

\[ \boxed{ \text{A} } \]

(b) What is the value of the current density?

\[ \boxed{ \text{kA/m}^2 } \]
Transcribed Image Text:**Problem Statement:** The quantity of charge \( q \) (in coulombs) that has passed through a surface of area \( 1.90 \, \text{cm}^2 \) varies with time according to the equation: \[ q = 4t^3 + 6t + 6, \] where \( t \) is in seconds. --- **Questions:** (a) What is the instantaneous current through the surface at \( t = 0.900 \, \text{s} \)? \[ \boxed{ \text{A} } \] (b) What is the value of the current density? \[ \boxed{ \text{kA/m}^2 } \]
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