Prove that in parallel combination of electrical appliances, total power consumption is equal to the sum of the powers of the individual appliances.

Explanation

To prove that in a parallel combination of electrical appliances, the total power consumption is equal to the sum of the powers of the individual appliances, we can follow these steps:

### Step 1: Understanding the Parallel Connection
In a parallel circuit, all appliances are connected across the same two terminals. This means that the voltage (V) across each appliance is the same.

### Step 2: Define Power for Each Appliance
The power consumed by each appliance can be defined using the formula:
\[ P = \frac{V^2}{R} \]
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