Question:
When a.c. source is connected across a resistance, the correct phasor relation between the current (\(i_{R}\)) and emf (\(e_{R}\)) is shown in figure
When a.c. source is connected across a resistance, the correct phasor relation between the current (\(i_{R}\)) and emf (\(e_{R}\)) is shown in figure
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In a purely resistive AC circuit, current and emf are in phase.
Updated On: Nov 12, 2026
- (B)
- (D)
- (A)
- (C)
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept
For a pure resistor, \(i_{R}=\dfrac{e_{R}}{R}\), so the current and the emf reach their peaks together. The phase difference is zero.
Step 2: Phasor picture
In phase means the two phasors lie along the same line and point in the same direction.
Step 3: Check the figures
Figures (A) and (B) show the phasors at \(90^{\circ}\). Figure (C) shows them opposite, a phase of \(180^{\circ}\). Only figure (D) shows \(i_{R}\) and \(e_{R}\) parallel and in the same direction.
Final Answer:
The correct phasor diagram is figure (D). \[ \boxed{\text{(B) }\text{Figure (D)}} \]
For a pure resistor, \(i_{R}=\dfrac{e_{R}}{R}\), so the current and the emf reach their peaks together. The phase difference is zero.
Step 2: Phasor picture
In phase means the two phasors lie along the same line and point in the same direction.
Step 3: Check the figures
Figures (A) and (B) show the phasors at \(90^{\circ}\). Figure (C) shows them opposite, a phase of \(180^{\circ}\). Only figure (D) shows \(i_{R}\) and \(e_{R}\) parallel and in the same direction.
Final Answer:
The correct phasor diagram is figure (D). \[ \boxed{\text{(B) }\text{Figure (D)}} \]
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