Qu 5 In a series circuit, a capacitor C is being charged through a resistor R using a cell of emf E as in the diagram below. E key R If the current flowing i = dq/dt and potential across the resistor ER = iR and potential across the capacitor Ec = qC a). Derive the differential equation for the circuit b) and determine the solution to the differential equation derived c) Suppose a car drives at a speed of 4e 2 m/s where t is time in seunds. How far did the car get in 2 seconds (starting at t = 0) ?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter29: Direct Current (dc) Circuits
Section: Chapter Questions
Problem 64PQ: Ralph has three resistors, R1, R2, and R3, connected in series. When connected to an ideal emf...
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Qu 5
In a series circuit, a capacitor C is being charged through a resistor R using
a cell of emf E as in the diagram below.
E
key
R
If the current flowing i = dq/dt and potential across the resistor ER = iR
and potential across the capacitor
Ec = qC
a). Derive the differential equation for the circuit
b) and determine the solution to the differential equation derived
c) Suppose a car drives at a speed of 4e 2 m/s where t is time in secunds.
How far did the car get in 2 seconds (starting at t= 0 ) ?
d) And how far does it get in t =10 s?
Transcribed Image Text:Qu 5 In a series circuit, a capacitor C is being charged through a resistor R using a cell of emf E as in the diagram below. E key R If the current flowing i = dq/dt and potential across the resistor ER = iR and potential across the capacitor Ec = qC a). Derive the differential equation for the circuit b) and determine the solution to the differential equation derived c) Suppose a car drives at a speed of 4e 2 m/s where t is time in secunds. How far did the car get in 2 seconds (starting at t= 0 ) ? d) And how far does it get in t =10 s?
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