Question

In the given circuit the reading of voltmeter \(V_1\) and \(V_2\) are \(300\) volts each. The reading of the voltmeter \(V_3\) and ammeter \(A\) are respectively

• A. 150 V, 2.2 A
• B. 220 V, 2.2 A
• C. 220V,2.0A
• D. 100V,2.0A

Answer 1

The Correct Option is B

To solve this problem, we will analyze the AC circuit as shown in the image.

Given:

• The voltage across V_1 and V_2 is 300V each.
• We need to find the voltmeter reading V_3 and the ammeter reading A.

Let's denote:

• The resistance, R = 100 \, \Omega.
• The total supply voltage is 220V.

Step-by-step Solution:

1. The total voltage head-to-tail across all parallel components is 220V, which is consistent with the given source voltage.

2. The voltage across V_1 and V_2 (inductor and capacitor) being 300V indicates that they are in resonance, making their individual impedances equal but opposite. Thus, their voltages cancel out in terms of reactive power.

3. The voltage V_3 across the resistor is equal to the supply voltage due to Kirchoff’s voltage law:

   V_3 = 220 \, \text{V}

4. To find current A through the resistor, use Ohm's law:

   I = \frac{V_3}{R} = \frac{220}{100} = 2.2 \, \text{A}

Conclusion: The reading of the voltmeter V_3 is 220V, and the reading of the ammeter is 2.2 A. Thus, the correct option is:

• 220 V, 2.2 A