Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 8, Problem 14P

The current flowing through the capacitor shown in Fag. P8.12 is given by

i ( t ) = C d v ( t ) d t . If C = 2 μ F and v ( t ) = t 2 e 10 V .

(a) Find the current i ( t ) .

(b) Find the value of the voltage when the current is zero.

(c) Use the given information to sketch v ( t ) .

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Chapter 8 Solutions

Introductory Mathematics for Engineering Applications

Ch. 8 - The voltage across the inductor of Fig. P8.9 is...Ch. 8 - The current flowing through a capacitor shown in...Ch. 8 - Repeat problem P8-12 if C=40F and...Ch. 8 - The current flowing through the capacitor shown in...Ch. 8 - A vehicle starts from rest at position x = 0. The...Ch. 8 - At time t=0, a vehicle located at position x=0 is...Ch. 8 - At time t=0, a moving vehicle is located at...Ch. 8 - A vehicle starling from rest at position x=0 is...Ch. 8 - A vehicle starting from rest at position x=0 is...Ch. 8 - A vehicle starling from rest at position x=0 is...Ch. 8 - The voltage across the inductor is given by...Ch. 8 - The voltage across the inductor is given in Fig....Ch. 8 - The voltage across the inductor is given in Fig....Ch. 8 - The current applied to a capacitor is given in...Ch. 8 - The current flowing through a capacitor is given...Ch. 8 - The current flowing through a 500F capacitor is...Ch. 8 - A simply supported beam is subjected to a load P...Ch. 8 - A simply supported beam is subjected to a load P...Ch. 8 - A simply supported beam is subjected to an applied...Ch. 8 - A simply supported beam is subjected to a...Ch. 8 - Consider a beam under a linear distributed load...Ch. 8 - A fixed-fixed beam ¡s subjected to a sinusoidal...Ch. 8 - Consider the buckling of a pinned-pinned column...Ch. 8 - Consider the buckling of a pinned-fixed column...Ch. 8 - Consider a beam under a uniform distributed load...Ch. 8 - A cantilever beam is pinned at the end x=L, and...Ch. 8 - Consider a shaft subjected to an applied torque T,...Ch. 8 - The velocity of a skydiver jumping from a height...Ch. 8 - A proposed highway traverses a hill-top bounded by...
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