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120. Current in an RC Circuit The equation governing the amount of current I (in amperes) after lime t (in microseconds) in a single RC circuit consisting of a resistance R (in ohms), a capacitance C (in microfarads), and an electromotive force E (in volts) is
(a) If volts, ohms, and microfarad, how much current I1 is flowing initially ( )? After 1000 microseconds? After 3000 microseconds?
(b) What is the maximum current?
(c) Graph this function (t), measuring I along the and t along the .
(d) If volts, ohms, and microfarads, how much current I2 is flowing initially? After 1000 microseconds? After 3000 microseconds?
(e) What is the maximum current?
(f) Graph the function on the same coordinate axes as .
![Check Mark](/static/check-mark.png)
To find:
a. If volts, ohms and microfarads, how much current is flowing initially ? After microseconds? After microseconds?
Answer to Problem 114AYU
a. current is flowing initially , current is flowing after microseconds, current is flowing after microseconds.
Explanation of Solution
Given:
Calculation:
a. and
How much current is flowing initially
How much current is flowing after 1000 microseconds
How much current is flowing after 3000 microseconds
![Check Mark](/static/check-mark.png)
To find:
b. The maximum current.
Answer to Problem 114AYU
b. maximum current when time approaches zero.
Explanation of Solution
Given:
Calculation:
b. We obtain maximum current when time approaches zero
![Check Mark](/static/check-mark.png)
To find:
c. graph the function measuring along the and along the .
Answer to Problem 114AYU
c.
![Precalculus, Chapter 5.3, Problem 114AYU , additional homework tip 1](https://content.bartleby.com/tbms-images/9780135189405/Chapter-5/images/19281-5.3-120ae2.jpg)
Explanation of Solution
Given:
Calculation:
c.
![Check Mark](/static/check-mark.png)
To find:
d. If volts, ohms, and henrys, microfarads, how much current is flowing initially After microseconds? After microseconds?
Answer to Problem 114AYU
d. current is flowing initially , current is flowing after microseconds, current is flowing after microseconds.
Explanation of Solution
Given:
Calculation:
d. and
How much current is flowing initially
How much current is flowing after 1000 microseconds
How much current is flowing after 3000 microseconds
![Check Mark](/static/check-mark.png)
To find:
e. The maximum current.
Answer to Problem 114AYU
e. maximum current when time approaches zero.
Explanation of Solution
Given:
Calculation:
e. We obtain maximum current when time approaches zero
![Check Mark](/static/check-mark.png)
To find:
f. graph the function measuring along the and along the .
Answer to Problem 114AYU
f.
![Precalculus, Chapter 5.3, Problem 114AYU , additional homework tip 3](https://content.bartleby.com/tbms-images/9780135189405/Chapter-5/images/19281-5.3-120ae3.jpg)
Explanation of Solution
Given:
Calculation:
f.
Chapter 5 Solutions
Precalculus
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