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ElectricalBasic Electrical
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In pure resistor circuit, angle between voltage and current is

A

0┬░0┬░0┬░

B

30┬░30┬░30┬░

C

60┬░60┬░60┬░

D

90┬░90┬░90┬░

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleElectricalBasic Electrical
Option A

0┬░0┬░0┬░

Quick Summary:

In a purely resistive circuit, the voltage and current are in phase with each other. Therefore, the phase angle difference between the voltage and current waveforms is 0┬░0┬░0┬░.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In a purely resistive circuit, the voltage and current are in phase with each other. Therefore, the phase angle difference between the voltage and current waveforms is 0┬░0┬░0┬░.

ЁЯФв Key Formulas

v(t)=VmsinтБб(╧Йt)v(t) = V_m \sin(\omega t)v(t)=VmтАЛsin(╧Йt) тАФ Instantaneous voltage

i(t)=ImsinтБб(╧Йt)i(t) = I_m \sin(\omega t)i(t)=ImтАЛsin(╧Йt) тАФ Instantaneous current

╧Х=╬╕vтИТ╬╕i=0\phi = \theta_v - \theta_i = 0╧Х=╬╕vтАЛтИТ╬╕iтАЛ=0 тАФ Phase angle relationship

тЪЩя╕П Working Principle

According to Ohm's Law (v(t)=i(t)тЛЕRv(t) = i(t) \cdot Rv(t)=i(t)тЛЕR), the instantaneous voltage across a resistor is directly proportional to the instantaneous current flowing through it. Since the resistance RRR is a constant real number, there is no time-dependent delay or phase shift introduced between the voltage and current vectors.

ЁЯУМ Key Points
  • тЦ╕

    A pure resistor consumes only real power (P=VIP = VIP=VI).

  • тЦ╕

    The power factor of a pure resistive circuit is unity (cosтБб0┬░=1\cos 0┬░ = 1cos0┬░=1).

  • тЦ╕

    Voltage and current reach their maximum, minimum, and zero values at the same instant in time.

тЬЕ Advantages
  • тЦ╕

    Zero phase distortion

  • тЦ╕

    Power factor is always unity

тЭМ Disadvantages / Limitations
  • тЦ╕

    Dissipates electrical energy as heat (I2RI^2RI2R loss)

  • тЦ╕

    Cannot store energy like an inductor or capacitor

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Heating elements (heaters, irons)

  • тЦ╕

    Incandescent lighting

  • тЦ╕

    Calibration resistors in measuring instruments

ЁЯУД Additional Information
  • тЦ╕

    In an inductive circuit, current lags voltage by 90┬░90┬░90┬░.

  • тЦ╕

    In a capacitive circuit, current leads voltage by 90┬░90┬░90┬░.

  • тЦ╕

    Option D (90┬░90┬░90┬░) is correct for a pure inductor or capacitor.

ЁЯУК Diagram / Illustration
Phasor Diagram: Pure ResistorV, I
Phase angle ╧Х=0тИШ\phi = 0^{\circ}╧Х=0тИШ
тЬЕ

A is correct тАФ The voltage and current are perfectly in phase in a purely resistive circuit, resulting in a phase angle of 0┬░0┬░0┬░.

Core Concepts Used
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Phase difference Ohm's Law in AC circuits Power factor
ЁЯТб EXAM TIP

Remember: ELI the ICE man. 'ELI' (Inductor: Voltage leads current) and 'ICE' (Capacitor: Current leads voltage). For resistors, there is no lag or lead, hence 0┬░0┬░0┬░.

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