Basic Electrical Theory
Basic Electrical Theory
Measurement Units
Correct answer: D — ohm
Impedance is the total opposition a circuit presents to alternating current, combining resistance, capacitive reactance, and inductive reactance into a single complex quantity. Like resistance, impedance is measured in ohms (Ω), named after Georg Simon Ohm.
Therefore, impedance, being a measure of opposition to current flow, is expressed in ohms, the same unit as resistance.
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Correct answer: D — 1000 ohm
The prefix "kilo-" (symbol k) means one thousand (10³) in the SI system of units. Therefore, one kilohm (1 kΩ) equals 1000 ohms. This prefix is used throughout electronics — kilohms for resistance, kilohertz for frequency, and so on — to avoid writing large numbers of zeros.
Therefore, one kilohm is simply 1000 ohms, following the standard SI "kilo-" prefix meaning ×1000.
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Just like a kilometer equates to 1000 meters, a kilovolt would equate to 1000 volts.
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One quarter of one ampere may be written as
Correct answer: 250 milliampere
One quarter of one ampere is:
\[ \frac{1}{4} \times 1\ \mathrm{A} = 0.25\ \mathrm{A} \]
Convert to milliamps:
\[ 0.25\ \mathrm{A} = 250\ \mathrm{mA} \]
Therefore, one quarter of one ampere is 250 milliampere.
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The watt is the unit of
Correct answer: A — power
The watt (W) is the SI unit of power, which is the rate at which energy is transferred or work is done. In electrical circuits, power is calculated as the product of voltage and current.
\[ P = V \times I \]
For example, a circuit with 12 V and 2 A dissipates:
\[ P = 12 \times 2 = 24\ \mathrm{W} \]
Therefore, the watt is correctly defined as the unit of power, representing one joule of energy transferred per second.
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Correct answer: A — 2000 mV
The prefix "milli" (m) means one-thousandth (1/1000), so there are 1000 millivolts in one volt. Two volts therefore equals 2 × 1000 = 2000 mV.
\[ 2\ \mathrm{V} = 2 \times 1000\ \mathrm{mV} = 2000\ \mathrm{mV} \]
Therefore, 2 volts is exactly equal to 2000 millivolts, since milli denotes a factor of 10⁻³.
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The unit for potential difference between two points in a circuit is the
Correct answer: volt
Potential difference (voltage) between two points is measured in volts (V).
Therefore, the unit is the volt.
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Impedance is a combination of
Correct answer: C — resistance with reactance
Impedance (Z) is the total opposition to alternating current in a circuit. It combines two distinct components: resistance (R), which dissipates energy as heat and is frequency-independent, and reactance (X), which stores and returns energy and arises from capacitors and inductors. Because resistance and reactance are 90° out of phase with each other, they combine as vectors:
\[ Z = \sqrt{R^2 + X^2} \]
For example, a circuit with R = 3 Ω and X = 4 Ω has an impedance of:
\[ Z = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\ \Omega \]
Therefore, impedance is always the vector combination of resistance and reactance.
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One mA is
Correct answer: B — one thousandth of one ampere
A milliampere (mA) uses the SI prefix milli-, which always means one thousandth (1/1000, or 10⁻³) of the base unit. Applied to the ampere, 1 mA = 0.001 A. This prefix appears throughout electronics — millivolts, milliwatts, millihenries — and always carries the same meaning.
Therefore, a milliampere is precisely one thousandth of one ampere, consistent with the standard SI prefix milli- (10⁻³).
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Correct answer: ohm
The unit of electrical resistance is the ohm (\(\Omega\)).
It is defined by Ohm’s Law:
\[ R = \frac{V}{I} \]
where:
\(R\) is resistance in ohms
\(V\) is voltage in volts
\(I\) is current in amperes
The farad is the unit of capacitance.
The watt is the unit of power.
A resistor is a component, not a unit.
Therefore, the unit of resistance is the ohm.
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