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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Back to Practice Questions
ElectricalBasic Electrical
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In pure resistor circuit, voltage is calculated by

A

V=iRV = iRV=iR

B

V=iXLV = iX_LV=iXL​

C

V=iXCV = iX_CV=iXC​

D

V=iLCV = iLCV=iLC

Correct Answer

Concept & PrincipleElectricalBasic Electrical
Option A

V=iRV = iRV=iR

Quick Summary: In a pure resistive circuit, the voltage drop across the resistor is governed by Ohm's Law. This law states that the potential difference across a conductor is directly proportional to the current flowing through it, given a constant resistance $R$.

💡 Explanation

In a pure resistive circuit, the voltage drop across the resistor is governed by Ohm's Law. This law states that the potential difference across a conductor is directly proportional to the current flowing through it, given a constant resistance RRR.

🔢 Key Formulas

V=iRV = iRV=iR — Ohm's Law for resistive elements

P=i2RP = i^2RP=i2R — Power dissipation in a resistor

⚙️ Working Principle

In a pure resistor, the electrical energy is converted into thermal energy due to collisions between electrons and the lattice structure of the material. Since there is no phase shift between current and voltage in a resistor (phi=0°\°\\phi = 0°\°phi=0°\°), the instantaneous voltage v(t)v(t)v(t) and current i(t)i(t)i(t) are always in phase, and their relationship is defined simply by v(t)=i(t)Rv(t) = i(t)Rv(t)=i(t)R.

📌 Key Points
  • ▸

    Resistors are passive linear components where current and voltage remain in phase.

  • ▸

    The resistance RRR is independent of frequency fff.

  • ▸

    Energy in a resistor is dissipated as heat, following Joule's Law.

✅ Advantages
  • ▸

    Simple linear relationship.

  • ▸

    No frequency dependence.

❌ Disadvantages / Limitations
  • ▸

    Energy is always dissipated as heat (loss).

  • ▸

    Cannot store electrical energy.

🛠️ Applications / Uses
  • ▸

    Current limiting in circuits.

  • ▸

    Voltage division and signal conditioning.

📄 Additional Information
  • ▸

    Option B (V=iXLV = iX_LV=iXL​) represents the voltage drop across a pure inductor.

  • ▸

    Option C (V=iXCV = iX_CV=iXC​) represents the voltage drop across a pure capacitor.

  • ▸

    Option D is dimensionally incorrect for any standard circuit element.

📊 Diagram / Illustration
Ohm's Law
VVV
i×Ri \times Ri×R
✅

A is correct — The voltage across a pure resistor is given by the product of current and resistance, following Ohm's Law.

Core Concepts Used
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Ohm's Law Resistive Impedance Phase Relationship
💡 EXAM TIP

Remember that while V=iZV=iZV=iZ is the general formula for AC, for a pure resistor Z=RZ = RZ=R and the phase angle is zero, which simplifies the expression significantly.

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