Suppose a circuit has a resistor, inductor and voltage source connected in series. The resistance is R = 90 ohms, the inductance is L = 4 henries and the voltage source has voltage V(t) 220 cos(2t) after t seconds. a) Let I(t) be the current (in amperes) in the circuit after t seconds. Write a differential equation in terms of I(t). I'(t) + I(t) I(t) = b) Assuming the initial current is 0 amperes, find I(t). = = c) Approximate (to three decimal places) the current after 0.4 seconds. Select an answer

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Differential equation electrical circuit please answer asappp. For Part c mention the units the answer is in
Suppose a circuit has a resistor, inductor and voltage
source connected in series. The resistance is R
= 90
ohms, the inductance is L = 4 henries and the voltage
source has voltage V(t) 220 cos(2t) after t seconds.
a) Let I(t) be the current (in amperes) in the circuit
after t seconds. Write a differential equation in terms of
I(t).
I'(t) +
I(t)
I(t) =
b) Assuming the initial current is 0 amperes, find I(t).
=
=
c) Approximate (to three decimal places) the current
after 0.4 seconds.
Select an answer
Transcribed Image Text:Suppose a circuit has a resistor, inductor and voltage source connected in series. The resistance is R = 90 ohms, the inductance is L = 4 henries and the voltage source has voltage V(t) 220 cos(2t) after t seconds. a) Let I(t) be the current (in amperes) in the circuit after t seconds. Write a differential equation in terms of I(t). I'(t) + I(t) I(t) = b) Assuming the initial current is 0 amperes, find I(t). = = c) Approximate (to three decimal places) the current after 0.4 seconds. Select an answer
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