The cost of 2Rs/kWh of operating an electric motor for 10hours takes 10amp at 110V is:

Options

A. 79200 Rs
B. 22000Rs
C. 220Rs
D. 22Rs

Answer

To solve the problem of calculating the cost of operating an electric motor, we can follow these steps:

### Step 1: Calculate the Power Consumed
The power consumed by the electric motor can be calculated using the formula:
\[ \text{Power (P)} = \text{Voltage (V)} \times \text{Current (I)} \]

Given:
- Voltage (V) = 110 V
- Current (I) = 10 A

Substituting the values:
\[ P = 110 \, \text{V} \times 10 \, \text{A} = 1100 \, \text{W} \]

### Step 2: Convert Power to Kilowatts
Since 1 kW = 1000 W, we convert the power from watts to kilowatts:
\[ P = \frac{1100 \, \text{W}}{1000} = 1.1 \, \text{kW} \]

### Step 3: Calculate Energy Consumption in Kilowatt-Hours
Energy consumed over time can be calculated using the formula:
\[ \text{Energy (E)} = \text{Power (P)} \times \text{Time (T)} \]

Given:
- Time (T) = 10 hours

Substituting the values:
\[ E = 1.1 \, \text{kW} \times 10 \, \text{h} = 11 \, \text{kWh} \]

### Step 4: Calculate the Cost of Energy Consumed
The cost of energy can be calculated using the formula:
\[ \text{Cost} = \text{Energy (E)} \times \text{Cost per kWh} \]

Given:
- Cost per kWh = 2 Rs

Substituting the values:
\[ \text{Cost} = 11 \, \text{kWh} \times 2 \, \text{Rs/kWh} = 22 \, \text{Rs} \]

### Final Answer
The total cost of operating the electric motor for 10 hours is **22 Rs**.

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