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An electric heater rated 220 V and 550 V...

An electric heater rated 220 V and 550 V is connected to AC mains. The current drawn by it is

A

0.8 A

B

2.5 A

C

0.4 A

D

1.25 A

Text Solution

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The correct Answer is:
To find the current drawn by the electric heater rated at 220 V and 550 W, we can use the formula for electrical power: ### Step 1: Write the formula for power The power consumed by an electrical device is given by the formula: \[ P = V \times I \] where: - \( P \) is the power in watts (W), - \( V \) is the voltage in volts (V), - \( I \) is the current in amperes (A). ### Step 2: Substitute the known values From the question, we know: - Power \( P = 550 \, \text{W} \) - Voltage \( V = 220 \, \text{V} \) Now, substituting these values into the power formula: \[ 550 = 220 \times I \] ### Step 3: Solve for current \( I \) To find the current \( I \), we can rearrange the equation: \[ I = \frac{P}{V} \] Substituting the values we have: \[ I = \frac{550}{220} \] ### Step 4: Calculate the current Now, performing the division: \[ I = \frac{550}{220} = 2.5 \, \text{A} \] ### Conclusion The current drawn by the electric heater is: \[ I = 2.5 \, \text{A} \] ### Final Answer The correct option is \( 2.5 \, \text{A} \). ---

To find the current drawn by the electric heater rated at 220 V and 550 W, we can use the formula for electrical power: ### Step 1: Write the formula for power The power consumed by an electrical device is given by the formula: \[ P = V \times I \] where: - \( P \) is the power in watts (W), - \( V \) is the voltage in volts (V), ...
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