Applied Electricity II: Chapter 1 Sinusoids & Phasors

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What is the reason behind considering sinusoids in the study of electricity?

They are difficult to generate and transmit.

They are found only in AC circuits.

They are easy to generate and transmit. (correct)

They are non-periodic in nature.

What is the relationship between ω and T?

ω = π/T

ω = 2π/T (correct)

ω = T/π

ω = T/2π

What is the condition for two sinusoids to be compared by their amplitudes and phase difference?

They must have the same frequency. (correct)

They must have the same frequency and phase.

They must have the same amplitude and phase.

They must have the same phase angle.

What is the term used to describe the relationship between two sinusoidal waveforms of the same frequency plotted on the same set of axes?

Lead or lag Signup and view all the answers

What is the condition for two sinusoids to be in phase?

They must have a phase difference of zero. Signup and view all the answers

What is the purpose of Fourier analysis in the context of periodic signals?

To represent any practical periodic signal as a sum of sinusoids. Signup and view all the answers

What is the primary condition for applying phasor analysis to manipulate two or more sinusoidal signals?

The signals have the same frequency Signup and view all the answers

What is the main difference between v(t) and V representations of a sinusoidal signal?

v(t) is time-dependent, while V is not Signup and view all the answers

What is the purpose of converting RLC components from time to phasor domain?

To apply KCL laws and set up phasor equations Signup and view all the answers

What is the relationship between V and Vm in the phasor representation of a sinusoidal signal?

V = Vm e^(jφ) Signup and view all the answers

What is the V-I relationship for a resistor in the phasor domain?

V = RI e^(jφ) Signup and view all the answers

Why is it important to emphasize the differences between v(t) and V?

To avoid confusion between time and frequency domains Signup and view all the answers

What is the relationship between the voltage and current of a resistor?

The voltage and current are in phase Signup and view all the answers

What is the phase difference between the voltage and current of an inductor?

The current lags the voltage by 90° Signup and view all the answers

What is the phase difference between the voltage and current of a capacitor?

The current leads the voltage by 90° Signup and view all the answers

What is the unit of measurement for impedance?

Ohms Signup and view all the answers

What is the ratio of phasor voltage to phasor current in a circuit?

Impedance Signup and view all the answers

What is the relationship between the phasor current of an inductor and the voltage?

The phasor current lags the voltage by 90° Signup and view all the answers

What is the unit of measurement for Admittance?

Siemens (S) Signup and view all the answers

What is the formula to calculate the Admittance of a circuit?

Y = I/V Signup and view all the answers

What is the reactance of a circuit if X is negative?

Capacitive Signup and view all the answers

What is the formula to calculate the equivalent impedance of series connected impedances?

Zeq = Z1 + Z2 + ... + ZN Signup and view all the answers

What is the formula to calculate the voltage division for two elements in series?

V1 = Z1 × V / (Z1 + Z2) Signup and view all the answers

What is the name of the law that holds in the frequency domain for series connected impedances?

Kirchhoff's Voltage Law (KVL) Signup and view all the answers

What is the fundamental principle behind Current Division for two elements?

Current is inversely proportional to the impedance ratio Signup and view all the answers

What is the main advantage of Y-Δ and Δ-Y equivalent circuit conversions in Three Phase circuits?

Easy conversion between Y and Δ forms Signup and view all the answers

What is the condition for a delta (Δ) or Y (wye) circuit to be considered balanced?

Impedances in all three branches are equal Signup and view all the answers

What is the relationship between ZΔ and ZY in a balanced circuit?

ZΔ = 3ZY Signup and view all the answers

What is the general formula for Δ-Y conversion?

Za = Z1Z2 + Z2Z3 + Z3Z1 Signup and view all the answers

What is the primary application of Y-Δ and Δ-Y equivalent circuit conversions?

Three-phase circuit analysis and design Signup and view all the answers