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Statement-1: The electrical energy is ex...

Statement-1: The electrical energy is expressed as `V^(2)//R`.
Statement-2: Power is defined as energy divided by time.

A

Only Statement 1 is correct

B

Only Statement 2 is correct

C

Both the statement are correct

D

None of the statements is correct

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the given statements, we will evaluate each statement separately. ### Step 1: Evaluate Statement 1 The first statement claims that electrical energy is expressed as \( \frac{V^2}{R} \). **Explanation:** - Electrical energy (E) can be calculated using the formula: \[ E = P \cdot t \] where \( P \) is power and \( t \) is time. - Power (P) in an electrical circuit can also be expressed as: \[ P = \frac{V^2}{R} \] where \( V \) is the voltage and \( R \) is the resistance. - Therefore, substituting power in the energy equation gives: \[ E = \left(\frac{V^2}{R}\right) \cdot t \] - This means that electrical energy is actually expressed as: \[ E = \frac{V^2 \cdot t}{R} \] - Hence, the statement that electrical energy is expressed as \( \frac{V^2}{R} \) is incorrect. ### Step 2: Evaluate Statement 2 The second statement claims that power is defined as energy divided by time. **Explanation:** - The definition of power (P) is indeed: \[ P = \frac{E}{t} \] where \( E \) is energy and \( t \) is time. - This definition is universally accepted in physics, confirming that statement 2 is correct. ### Conclusion - **Statement 1** is incorrect because it misrepresents the formula for electrical energy. - **Statement 2** is correct as it accurately defines power. ### Final Answer - Only Statement 2 is correct. ---

To analyze the given statements, we will evaluate each statement separately. ### Step 1: Evaluate Statement 1 The first statement claims that electrical energy is expressed as \( \frac{V^2}{R} \). **Explanation:** - Electrical energy (E) can be calculated using the formula: \[ ...
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