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Number of kilowatt-hours = ("volt " xx "...

Number of kilowatt-hours = `("volt " xx "ampere" xx "______")/( 1000)`

A

time in seconds

B

time in minutes

C

time in hours

D

time in days

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The correct Answer is:
To solve the question regarding the formula for calculating the number of kilowatt-hours, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Kilowatt-Hour**: - A kilowatt-hour (kWh) is a unit of energy that represents the amount of energy consumed or produced over one hour at a rate of one kilowatt. 2. **Identify the Formula for Power**: - The power (P) in watts can be calculated using the formula: \[ P = V \times I \] where \( V \) is the voltage in volts and \( I \) is the current in amperes. 3. **Convert Power to Kilowatts**: - Since 1 kilowatt (kW) is equal to 1000 watts (W), we can express power in kilowatts as: \[ P \text{ (in kW)} = \frac{V \times I}{1000} \] 4. **Relate Power to Energy**: - The energy (E) in kilowatt-hours is calculated by multiplying power in kilowatts by time in hours: \[ E \text{ (in kWh)} = P \text{ (in kW)} \times \text{Time (in hours)} \] 5. **Substituting Power into the Energy Equation**: - Replacing \( P \) in the energy equation with the expression we derived: \[ E = \left(\frac{V \times I}{1000}\right) \times \text{Time (in hours)} \] 6. **Finalizing the Equation**: - Rearranging gives us: \[ \text{Number of kilowatt-hours} = \frac{V \times I \times \text{Time (in hours)}}{1000} \] 7. **Identifying the Missing Unit**: - From the equation, it is clear that the missing unit in the question is **Time in hours**. ### Final Answer: The missing unit is **Time in hours**.
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MCGROW HILL PUBLICATION-ELECTRIC CURRENT -HIGHER ORDER THINKING QUESTIONS
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