1. A Sinusoidal AC voltage given by V(t) = 208VRMsSin(2n60t) is imposed on a 100 ohm purely resistive circuit. What would be the proper expression [similar to V(t) but would be l(t)] for the RMS current, Ir(t), in the circuit? Ir(t) = Explain how you would change the expression if the circuit had an inductor of 75ohm inductive reactance instead of the resistance. [i.e. - Inductive current l(t)] LL(t) =

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1. A Sinusoidal AC voltage given by V(t) = 208VRMSSin (2n60t) is imposed on a 100 ohm purely
resistive circuit. What would be the proper expression [similar to V(t) but would be i(t)] for
the RMS current, le(t), in the circuit?
Ir(t) =
Explain how you would change the expression if the circuit had an inductor of 75ohm
inductive reactance instead of the resistance. [i.e. - Inductive current lu(t)]
LL(t) =
2. A parallel circuit having 2 branches records that Branch 1 has a 5-ohm resistor in series
with a 10-ohm Capacitive reactance capacitor while Branch 2 has a 10-ohm inductive
reactance inductor in series with a 5-ohm resistor. What are the impedance terms of each
branch in rectangular form and in polar form?
NOTE: Drawing yourself a circuit diagram would help and establishes a good starting point for
credit.
Branch
Branch 1 (R & C) Z1 =
Branch 2 (L& B) Z2 =
Rectangular form Polar form
3. What is the total impedance of the combined 2-branch circuit (rectangular & polar forms)?
(Show or explain method for max credit)
Rectangular ZT =
Branch
Branch 1 (R & C) (1 =
Branch 2 (L& B) 12 =
Total Current
Polar ZT=
4. The Branches to the above circuit are charged by a 5Vac <0° source. What are the Branch
current values and what the total current value (rectangular & polar forms)? (Show or explain
method for max credit)
Polar form Rectangular form
Transcribed Image Text:1. A Sinusoidal AC voltage given by V(t) = 208VRMSSin (2n60t) is imposed on a 100 ohm purely resistive circuit. What would be the proper expression [similar to V(t) but would be i(t)] for the RMS current, le(t), in the circuit? Ir(t) = Explain how you would change the expression if the circuit had an inductor of 75ohm inductive reactance instead of the resistance. [i.e. - Inductive current lu(t)] LL(t) = 2. A parallel circuit having 2 branches records that Branch 1 has a 5-ohm resistor in series with a 10-ohm Capacitive reactance capacitor while Branch 2 has a 10-ohm inductive reactance inductor in series with a 5-ohm resistor. What are the impedance terms of each branch in rectangular form and in polar form? NOTE: Drawing yourself a circuit diagram would help and establishes a good starting point for credit. Branch Branch 1 (R & C) Z1 = Branch 2 (L& B) Z2 = Rectangular form Polar form 3. What is the total impedance of the combined 2-branch circuit (rectangular & polar forms)? (Show or explain method for max credit) Rectangular ZT = Branch Branch 1 (R & C) (1 = Branch 2 (L& B) 12 = Total Current Polar ZT= 4. The Branches to the above circuit are charged by a 5Vac <0° source. What are the Branch current values and what the total current value (rectangular & polar forms)? (Show or explain method for max credit) Polar form Rectangular form
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