E5D  Phase angle between voltage and current; impedances and phase

angles of series and parallel circuits; algebraic operations using

complex numbers: rectangular coordinates (real and imaginary parts);

polar coordinates (magnitude and angle)

 

E5D01 (A)

What is the phase angle between the voltage across and the current through a series R-L-C circuit if XC is 25 ohms, R is 100 ohms, and XL is 100 ohms?

A.  36.9 degrees with the voltage leading the current

B.  53.1 degrees with the voltage lagging the current

C.  36.9 degrees with the voltage lagging the current

D.  53.1 degrees with the voltage leading the current

 

E5D02 (C)

What is the phase angle between the voltage across and the current through a series R-L-C circuit if XC is 500 ohms, R is 1 kilohm, and XL is 250 ohms?

A.  68.2 degrees with the voltage leading the current

B.  14.1 degrees with the voltage leading the current

C.  14.1 degrees with the voltage lagging the current

D.  68.2 degrees with the voltage lagging the current

 

E5D03 (D)

What is the phase angle between the voltage across and the current through a series R-L-C circuit if XC is 50 ohms, R is 100 ohms, and XL is 25 ohms?

A.  76 degrees with the voltage lagging the current

B.  14 degrees with the voltage leading the current

C.  76 degrees with the voltage leading the current

D.  14 degrees with the voltage lagging the current

 

E5D04 (A)

What is the phase angle between the voltage across and the current through a series R-L-C circuit if XC is 100 ohms, R is 100 ohms, and XL is 75 ohms?

A.  14 degrees with the voltage lagging the current

B.  14 degrees with the voltage leading the current

C.  76 degrees with the voltage leading the current

D.  76 degrees with the voltage lagging the current

 

E5D05 (D)

What is the phase angle between the voltage across and the current through a series R-L-C circuit if XC is 50 ohms, R is 100 ohms, and XL is 75 ohms?

A.  76 degrees with the voltage leading the current

B.  76 degrees with the voltage lagging the current

C.  14 degrees with the voltage lagging the current

D.  14 degrees with the voltage leading the current

 

E5D06 (D)

What is the relationship between the current through and the voltage across a capacitor?

A.  Voltage and current are in phase

B.  Voltage and current are 180 degrees out of phase

C.  Voltage leads current by 90 degrees

D.  Current leads voltage by 90 degrees

 

E5D07 (A)

What is the relationship between the current through an inductor and the voltage across an inductor?

A.  Voltage leads current by 90 degrees

B.  Current leads voltage by 90 degrees

C.  Voltage and current are 180 degrees out of phase

D.  Voltage and current are in phase

 

E5D08 (B)

In polar coordinates, what is the impedance of a network comprised of a 100-ohm-reactance inductor in series with a 100-ohm resistor?

A.  121 ohms, /__35_degrees__

B.  141 ohms, /__45_degrees__

C.  161 ohms, /__55_degrees__

D.  181 ohms, /__65_degrees__

 

E5D09 (D)

In polar coordinates, what is the impedance of a network comprised of a 100-ohm-reactance inductor, a 100-ohm-reactance capacitor, and a 100-ohm resistor all connected in series?

A.  100 ohms, /__90_degrees__

B.  10 ohms, /__0_degrees__

C.  10 ohms, /__100_degrees__

D.  100 ohms, /__0_degrees__

 

E5D10 (A)

In polar coordinates, what is the impedance of a network comprised of a 300-ohm-reactance capacitor, a 600-ohm-reactance inductor, and a 400-ohm resistor, all connected in series?

A.  500 ohms, /__37_degrees__

B.  400 ohms, /__27_degrees__

C.  300 ohms, /__17_degrees__

D.  200 ohms, /__10_degrees__

 

E5D11 (B)

In rectangular coordinates, what is the impedance of a network comprised of a 1.0-millihenry inductor in series with a 200-ohm resistor at 30 kHz?

A.  200 - j188

B.  200 + j188

C.  188 - j200

D.  188 + j200

 

E5D12 (C)

In rectangular coordinates, what is the impedance of a network comprised of a 10-millihenry inductor in series with a 600-ohm resistor at 10 kHz?

A.  628 + j600

B.  628 - j600

C.  600 + j628

D.  600 - j628

 

E5D13 (B)

In rectangular coordinates, what is the impedance of a network comprised of a 0.1-microfarad capacitor in series with a 40-ohm resistor at 50 kHz?

A.  40 + j32

B.  40 - j32

C.  32 - j40

D.  32 + j40


E1A | E1B | E1C | E1D | E1E | E1F | E1G | E2A | E2B | E2C

E2D | E3A | E3B | E4A | E4B | E4C | E4D | E4E | E5A | E5B

E5C | E5D | E5E | E5F | E5G | E5H | E6A | E6B | E6C | E6D

E6E | E7A | E7B | E7C | E7D | E7E | E7F | E7G | E8A | E8B

E8C | E8D | E8E | E9A | E9B | E9C | E9D | E9E