An appliance draws 2.4 ampere of current when plugged to a 220-volt outlet.  It was further measured that the current lags the voltage by 34 degrees.  What is the effective resistance of the device in ohms? Provide answer in two decimal places.

To calculate the effective resistance of the device, we can use the information provided:

1. The appliance draws 2.4 A of current.
2. The voltage is 220 V.
3. The current lags the voltage by 34 degrees, which indicates the phase difference between voltage and current. This implies that the device has both resistive and reactive components.

Since we are asked for the **effective resistance** (which refers to the real part of impedance), we use the following relation from AC circuit analysis:

\[
R = \frac{V}{I} \times \cos(\theta)
\]

Where:
- \(V\) is the voltage (220 V),
- \(I\) is the current (2.4 A),
- \(\theta\) is the phase difference (34°).

Let's plug in the values and calculate.

\[
R = \frac{220}{2.4} \times \cos(34^\circ)
\]

First, we compute \(\frac{220}{2.4}\), then multiply by \(\cos(34^\circ)\).

I'll calculate it for you.The effective resistance of the device is approximately \( 76.00 \, \Omega \).

Do you need any further details or have additional questions?

Here are 5 related questions to expand your understanding:
1. What is the concept of impedance in AC circuits?
2. How does phase difference affect power consumption in AC circuits?
3. What is the difference between reactive and resistive components in an electrical circuit?
4. How can we calculate the reactive power in an AC circuit?
5. What are the effects of inductance and capacitance on phase angle?

**Tip:** When dealing with AC circuits, always account for both the resistive and reactive components, especially when the current and voltage are out of phase.

An appliance draws 2.4 ampere of current when plugged to a 220-volt outlet. It was further measured that the current lags the voltage by 34 degrees. What is the effective resistance of the device in ohms? Provide answer in two decimal places.

Learn how to calculate the effective resistance of an appliance that draws 2.4 A of current from a 220 V AC outlet with a 34-degree phase difference. This solution uses key AC circuit analysis concepts, including Ohm's Law and phase difference.

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