An 1800 W toaster, a 1.3 kW electric fan and a 100 W lamp are plugged in the same 120 V circuit i.e., all the three devices are in parallel. What is the approximate value of the total current (i.e. the sum of current drawn by the three devices) through the circuit ?

Options

A. 40 A
B. 120 A
C. 18 A
D. 27 A

Answer

To find the total current drawn by the toaster, electric fan, and lamp when they are connected in parallel to a 120 V circuit, we can follow these steps:

### Step 1: Calculate the current drawn by each device.
Using the formula for power, \( P = V \times I \), we can rearrange it to find the current \( I \):
\[ I = \frac{P}{V} \]

### Step 2: Calculate the current for the toaster.
The power of the toaster is 1800 W.
\[ I_{\text{toaster}} = \frac{1800 \, \text{W}}{120 \, \text{V}} = 15 \, \text{A} \]

### Step 3: Calculate the current for the electric fan.
The power of the electric fan is 1.3 kW, which is 1300 W.
\[ I_{\text{fan}} = \frac{1300 \, \text{W}}{120 \, \text{V}} = \frac{1300}{120} \approx 10.83 \, \text{A} \]

### Step 4: Calculate the current for the lamp.
The power of the lamp is 100 W.
\[ I_{\text{lamp}} = \frac{100 \, \text{W}}{120 \, \text{V}} = \frac{100}{120} \approx 0.83 \, \text{A} \]

### Step 5: Calculate the total current.
Now, we can find the total current by summing the individual currents:
\[ I_{\text{total}} = I_{\text{toaster}} + I_{\text{fan}} + I_{\text{lamp}} \]
\[ I_{\text{total}} = 15 \, \text{A} + 10.83 \, \text{A} + 0.83 \, \text{A} \approx 26.66 \, \text{A} \]

### Step 6: Round the total current.
The approximate value of the total current is:
\[ I_{\text{total}} \approx 27 \, \text{A} \]

### Final Answer:
The approximate value of the total current through the circuit is **27 A**.

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