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3 The equation for the instantaneous discharging capacitor is given by Vo is the initial voltage and of the circuit. The tasks are to: a) Draw a graph of voltage against time for voltage across a v=Voe, where is the time constant Vo=12V and T=2s, between t=0s and t=10s. b) Calculate the gradient at t=2s and t=4s. c) Differentiate v= 12e and calculate the value of dv at t=2s and t=4s. dt d) Compare your answers for part b and part c. e) Calculate the second derivative of the instantaneous voltage d²v dt²

3 The equation for the instantaneous discharging capacitor is given by Vo is the initial voltage and of the circuit. The tasks are to: a) Draw a graph of voltage against time for voltage across a v=Voe, where is the time constant Vo=12V and T=2s, between t=0s and t=10s. b) Calculate the gradient at t=2s and t=4s. c) Differentiate v= 12e and calculate the value of dv at t=2s and t=4s. dt d) Compare your answers for part b and part c. e) Calculate the second derivative of the instantaneous voltage d²v dt²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3 The equation for the instantaneous discharging capacitor is given by Vo is the initial voltage and of the circuit. The tasks are to: a) Draw a graph of voltage against time for voltage across a v=Voe, where is the time constant V₁=12V and T=2s, between t=0s and t=10s. b) Calculate the gradient at t=2s and t=4s. c) Differentiate and calculate the value of v=12e dv at t=2s and t=4s. dt d) Compare your answers for part b and part c. e) Calculate the second derivative of the instantaneous voltage d²v dt²
Transcribed Image Text:3 The equation for the instantaneous discharging capacitor is given by Vo is the initial voltage and of the circuit. The tasks are to: a) Draw a graph of voltage against time for voltage across a v=Voe, where is the time constant V₁=12V and T=2s, between t=0s and t=10s. b) Calculate the gradient at t=2s and t=4s. c) Differentiate and calculate the value of v=12e dv at t=2s and t=4s. dt d) Compare your answers for part b and part c. e) Calculate the second derivative of the instantaneous voltage d²v dt²
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