Question

In the graphical representation of e.m.f. 'e' and current 'i' versus 'ωt' for an a.c. circuit, both emf and current reach zero, minimum and maximum value at the same time. The circuit element connected to the source will be

• A. pure capacitor
• B. combination of capacitor and inductor
• C. pure resistor
• D. pure inductor

Hint:

Remember: For a resistor, \(V\) and \(I\) are in phase. For capacitor: \(I\) leads \(V\). For inductor: \(I\) lags \(V\).

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
For an AC circuit, if voltage and current reach their zero, minimum, and maximum values simultaneously, they are in phase.

Step 2: Key Formula or Approach:
In a purely resistive AC circuit, voltage and current are in phase. In a pure capacitor, current leads voltage by 90°; in a pure inductor, current lags voltage by 90°. In combinations, phase difference is between 0° and 90°.

Step 3: Detailed Explanation:
Zero phase difference means the circuit behaves as a pure resistor.

Step 4: Final Answer:
Thus the circuit element is a pure resistor, option (C).