(10 pts) From Kirchoff's law, the current I in an RC (resistor-capacitor) circuit during discharging obeys the equation dl(t) 1(t) R- + = 0 dt C a. Find I (t). b. For a capacitance of 10,000 uF charged to 100 V and discharging through a resistance of 1 m2, find the current I for t = 0 and for t = 100 sec. Note: The initial voltage is IR or 0/C, where I = d0/dt.
(10 pts) From Kirchoff's law, the current I in an RC (resistor-capacitor) circuit during discharging obeys the equation dl(t) 1(t) R- + = 0 dt C a. Find I (t). b. For a capacitance of 10,000 uF charged to 100 V and discharging through a resistance of 1 m2, find the current I for t = 0 and for t = 100 sec. Note: The initial voltage is IR or 0/C, where I = d0/dt.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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![(10 pts) From Kirchoff's law, the current I in an RC (resistor-capacitor) circuit during discharging obeys the
equation
dl(t) 1(t)
R- + = 0
dt C
a. Find I (t).
b. For a capacitance of 10,000 uF charged to 100 V and discharging through a resistance of 1 m2, find the
current I for t = 0 and for t = 100 sec.
Note: The initial voltage is IoR or Q/C, where I = dQ/dt.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6664d484-678c-47ab-8053-c7e9442bea5b%2F5eef27f9-4509-4ca0-8dfe-eab07c81a4c1%2Fnfy6fn7_processed.png&w=3840&q=75)
Transcribed Image Text:(10 pts) From Kirchoff's law, the current I in an RC (resistor-capacitor) circuit during discharging obeys the
equation
dl(t) 1(t)
R- + = 0
dt C
a. Find I (t).
b. For a capacitance of 10,000 uF charged to 100 V and discharging through a resistance of 1 m2, find the
current I for t = 0 and for t = 100 sec.
Note: The initial voltage is IoR or Q/C, where I = dQ/dt.
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