An electric circuit has two power sources. The voltage, V₁, provided by the first power source, at time t, is modelled by V₁ = Re (2e³¹). The voltage, V₂, provided by the second power source is modelled by V₂= Re (5e (3¹+4)i). The total voltage in the circuit, V, is given by V₂ = V₁ + V₂. (a) Find an expression for V, in the form Acos (Bt+C), where A, B and C are real constants. (b) Hence write down the maximum voltage in the circuit.
An electric circuit has two power sources. The voltage, V₁, provided by the first power source, at time t, is modelled by V₁ = Re (2e³¹). The voltage, V₂, provided by the second power source is modelled by V₂= Re (5e (3¹+4)i). The total voltage in the circuit, V, is given by V₂ = V₁ + V₂. (a) Find an expression for V, in the form Acos (Bt+C), where A, B and C are real constants. (b) Hence write down the maximum voltage in the circuit.
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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Transcribed Image Text:An electric circuit has two power sources. The voltage, ₁, provided by the first
power source, at time t, is modelled by
V₁ = Re (2e³¹).
The voltage, V₂, provided by the second power source is modelled by
V₂ = Re (5e (3+4)).
The total voltage in the circuit, V, is given by
V₁ = V₁ + V₂.
(a) Find an expression for V, in the form Acos (Bt+C), where A, B and C are
real constants.
(b) Hence write down the maximum voltage in the circuit.
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