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Extra E5 questions: Electrical Principles

All 49 Ham Radio Amateur Extra questions for E5 Electrical Principles with the correct answers marked, from the official 2024-2028 question pool. Test yourself with the free practice exam.

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E5A01

What can cause the voltage across reactances in a series RLC circuit to be higher than the voltage applied to the entire circuit?

A. Resonance ✓

B. Capacitance

C. Low quality factor (Q)

D. Resistance

E5A02

What is the resonant frequency of an RLC circuit if R is 22 ohms, L is 50 microhenries, and C is 40 picofarads?

A. 44.72 MHz

B. 22.36 MHz

C. 3.56 MHz ✓

D. 1.78 MHz

E5A03

What is the magnitude of the impedance of a series RLC circuit at resonance?

A. High, compared to the circuit resistance

B. Approximately equal to capacitive reactance

C. Approximately equal to inductive reactance

D. Approximately equal to circuit resistance ✓

E5A04

What is the magnitude of the impedance of a parallel RLC circuit at resonance?

A. Approximately equal to circuit resistance ✓

B. Approximately equal to inductive reactance

C. Low compared to the circuit resistance

D. High compared to the circuit resistance

E5A05

What is the result of increasing the Q of an impedance-matching circuit?

A. Matching bandwidth is decreased ✓

B. Matching bandwidth is increased

C. Losses increase

D. Harmonics increase

E5A06

What is the magnitude of the circulating current within the components of a parallel LC circuit at resonance?

A. It is at a minimum

B. It is at a maximum ✓

C. It equals 1 divided by the quantity 2 times pi, times the square root of (inductance L multiplied by capacitance C)

D. It equals 2 times pi, times the square root of (inductance L multiplied by capacitance C)

E5A07

What is the magnitude of the current at the input of a parallel RLC circuit at resonance?

A. Minimum ✓

B. Maximum

C. R/L

D. L/R

E5A08

What is the phase relationship between the current through and the voltage across a series resonant circuit at resonance?

A. The voltage leads the current by 90 degrees

B. The current leads the voltage by 90 degrees

C. The voltage and current are in phase ✓

D. The voltage and current are 180 degrees out of phase

E5A09

How is the Q of an RLC parallel resonant circuit calculated?

A. Reactance of either the inductance or capacitance divided by the resistance

B. Reactance of either the inductance or capacitance multiplied by the resistance

C. Resistance divided by the reactance of either the inductance or capacitance ✓

D. Reactance of the inductance multiplied by the reactance of the capacitance

E5A10

What is the resonant frequency of an RLC circuit if R is 33 ohms, L is 50 microhenries, and C is 10 picofarads?

A. 7.12 MHz ✓

B. 23.5 kHz

C. 7.12 kHz

D. 23.5 MHz

E5A11

What is the half-power bandwidth of a resonant circuit that has a resonant frequency of 7.1 MHz and a Q of 150?

A. 157.8 Hz

B. 315.6 Hz

C. 47.3 kHz ✓

D. 23.67 kHz

E5A12

What is the half-power bandwidth of a resonant circuit that has a resonant frequency of 3.7 MHz and a Q of 118?

A. 436.6 kHz

B. 218.3 kHz

C. 31.4 kHz ✓

D. 15.7 kHz

E5A13

What is an effect of increasing Q in a series resonant circuit?

A. Fewer components are needed for the same performance

B. Parasitic effects are minimized

C. Internal voltages increase ✓

D. Phase shift can become uncontrolled

E5B01

What is the term for the time required for the capacitor in an RC circuit to be charged to 63.2% of the applied voltage or to discharge to 36.8% of its initial voltage?

A. An exponential rate of one

B. One time constant ✓

C. One exponential period

D. A time factor of one

E5B02

What letter is commonly used to represent susceptance?

A. G

B. X

C. Y

D. B ✓

E5B03

How is impedance in polar form converted to an equivalent admittance?

A. Take the reciprocal of the angle and change the sign of the magnitude

B. Take the reciprocal of the magnitude and change the sign of the angle ✓

C. Take the square root of the magnitude and add 180 degrees to the angle

D. Square the magnitude and subtract 90 degrees from the angle

E5B04

What is the time constant of a circuit having two 220-microfarad capacitors and two 1-megohm resistors, all in parallel?

A. 55 seconds

B. 110 seconds

C. 440 seconds

D. 220 seconds ✓

E5B05

What is the effect on the magnitude of pure reactance when it is converted to susceptance?

A. It is unchanged

B. The sign is reversed

C. It is shifted by 90 degrees

D. It is replaced by its reciprocal ✓

E5B06

What is susceptance?

A. The magnetic impedance of a circuit

B. The ratio of magnetic field to electric field

C. The imaginary part of admittance ✓

D. A measure of the efficiency of a transformer

E5B07

What is the phase angle between the voltage across and the current through a series RLC 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. 14.0 degrees with the voltage leading the current

C. 14.0 degrees with the voltage lagging the current ✓

D. 68.2 degrees with the voltage lagging the current

E5B08

What is the phase angle between the voltage across and the current through a series RLC circuit if XC is 300 ohms, R is 100 ohms, and XL is 100 ohms?

A. 63 degrees with the voltage lagging the current ✓

B. 63 degrees with the voltage leading the current

C. 27 degrees with the voltage leading the current

D. 27 degrees with the voltage lagging the current

E5B09

What is the relationship between the AC current through a capacitor 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 ✓

E5B10

What is the relationship between the AC 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

E5B11

What is the phase angle between the voltage across and the current through a series RLC circuit if XC is 25 ohms, R is 100 ohms, and XL is 75 ohms?

A. 27 degrees with the voltage lagging the current

B. 27 degrees with the voltage leading the current ✓

C. 63 degrees with the voltage lagging the current

D. 63 degrees with the voltage leading the current

E5B12

What is admittance?

A. The inverse of impedance ✓

B. The term for the gain of a field effect transistor

C. The inverse of reactance

D. The term for the on-impedance of a field effect transistor

E5C01

Which of the following represents pure capacitive reactance of 100 ohms in rectangular notation?

A. 0 - j100 ✓

B. 0 + j100

C. 100 - j0

D. 100 + j0

E5C02

How are impedances described in polar coordinates?

A. By X and R values

B. By real and imaginary parts

C. By magnitude and phase angle ✓

D. By Y and G values

E5C03

Which of the following represents a pure inductive reactance in polar coordinates?

A. A positive 45 degree phase angle

B. A negative 45 degree phase angle

C. A positive 90 degree phase angle ✓

D. A negative 90 degree phase angle

E5C04

What type of Y-axis scale is most often used for graphs of circuit frequency response?

A. Linear

B. Scatter

C. Random

D. Logarithmic ✓

E5C05

What kind of diagram is used to show the phase relationship between impedances at a given frequency?

A. Venn diagram

B. Near field diagram

C. Phasor diagram ✓

D. Far field diagram

E5C06

What does the impedance 50 - j25 ohms represent?

A. 50 ohms resistance in series with 25 ohms inductive reactance

B. 50 ohms resistance in series with 25 ohms capacitive reactance ✓

C. 25 ohms resistance in series with 50 ohms inductive reactance

D. 25 ohms resistance in series with 50 ohms capacitive reactance

E5C07

Where is the impedance of a pure resistance plotted on rectangular coordinates?

A. On the vertical axis

B. On a line through the origin, slanted at 45 degrees

C. On a horizontal line, offset vertically above the horizontal axis

D. On the horizontal axis ✓

E5C08

What coordinate system is often used to display the phase angle of a circuit containing resistance, inductive, and/or capacitive reactance?

A. Maidenhead grid

B. Faraday grid

C. Elliptical coordinates

D. Polar coordinates ✓

E5C09

When using rectangular coordinates to graph the impedance of a circuit, what do the axes represent?

A. The X axis represents the resistive component, and the Y axis represents the reactive component ✓

B. The X axis represents the reactive component, and the Y axis represents the resistive component

C. The X axis represents the phase angle, and the Y axis represents the magnitude

D. The X axis represents the magnitude, and the Y axis represents the phase angle

E5C10

Which point on Figure E5-1 best represents the impedance of a series circuit consisting of a 400-ohm resistor and a 38-picofarad capacitor at 14 MHz?

Figure E5-1

A. Point 2

B. Point 4 ✓

C. Point 5

D. Point 6

E5C11

Which point in Figure E5-1 best represents the impedance of a series circuit consisting of a 300-ohm resistor and an 18-microhenry inductor at 3.505 MHz?

Figure E5-1

A. Point 1

B. Point 3 ✓

C. Point 7

D. Point 8

E5C12

Which point on Figure E5-1 best represents the impedance of a series circuit consisting of a 300-ohm resistor and a 19-picofarad capacitor at 21.200 MHz?

Figure E5-1

A. Point 1 ✓

B. Point 3

C. Point 7

D. Point 8

E5D01

What is the result of conductor skin effect?

A. Resistance increases as frequency increases because RF current flows closer to the surface ✓

B. Resistance decreases as frequency increases because electron mobility increases

C. Resistance increases as temperature increases because of the change in thermal coefficient

D. Resistance decreases as temperature increases because of the change in thermal coefficient

E5D02

Why is it important to keep lead lengths short for components used in circuits for VHF and above?

A. To increase the thermal time constant

B. To minimize inductive reactance ✓

C. To maintain component lifetime

D. All these choices are correct

E5D03

What is the phase relationship between current and voltage for reactive power?

A. They are out of phase

B. They are in phase

C. They are 90 degrees out of phase ✓

D. They are 45 degrees out of phase

E5D04

Why are short connections used at microwave frequencies?

A. To increase neutralizing resistance

B. To reduce phase shift along the connection ✓

C. To increase compensating capacitance

D. To reduce noise figure

E5D05

What parasitic characteristic causes electrolytic capacitors to be unsuitable for use at RF?

A. Skin effect

B. Shunt capacitance

C. Inductance ✓

D. Dielectric leakage

E5D06

What parasitic characteristic creates an inductor’s self-resonance?

A. Skin effect

B. Dielectric loss

C. Coupling

D. Inter-turn capacitance ✓

E5D07

What combines to create the self-resonance of a component?

A. The component’s resistance and reactance

B. The component’s nominal and parasitic reactance ✓

C. The component’s inductance and capacitance

D. The component’s electrical length and impedance

E5D08

What is the primary cause of loss in film capacitors at RF?

A. Inductance

B. Dielectric loss

C. Self-discharge

D. Skin effect ✓

E5D09

What happens to reactive power in ideal inductors and capacitors?

A. It is dissipated as heat in the circuit

B. Energy is stored in magnetic or electric fields, but power is not dissipated ✓

C. It is canceled by Coulomb forces in the capacitor and inductor

D. It is dissipated in the formation of inductive and capacitive fields

E5D10

As a conductor’s diameter increases, what is the effect on its electrical length?

A. Thickness has no effect on electrical length

B. It varies randomly

C. It decreases

D. It increases ✓

E5D11

How much real power is consumed in a circuit consisting of a 100-ohm resistor in series with a 100-ohm inductive reactance drawing 1 ampere?

A. 70.7 watts

B. 100 watts ✓

C. 141.4 watts

D. 200 watts

E5D12

What is reactive power?

A. Power consumed in circuit Q

B. Power consumed by an inductor’s wire resistance

C. The power consumed in inductors and capacitors

D. Wattless, nonproductive power ✓