To calculate the backup time of a battery, we use the formula:

$\text{Backup Time (hours)} = \frac{\text{Battery Capacity (Ah) × Voltage (V)}}{\text{Load Power (W)}}$

Given:

• Battery capacity = 200 Ah
• Supply voltage = 15 V
• Load power = 200 W

Substituting these values:

$\text{Backup Time} = \frac{200 \times 15}{200} = \frac{3000}{200} = 15 \, \text{hours}$

Conclusion:

The battery can provide backup for 15 hours under the given conditions.

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Do you have further questions or need a detailed breakdown?

Related Questions:

1. How would the backup time change if the load power increases?
2. How do inefficiencies in the battery system affect backup time?
3. Can the voltage of the battery influence the calculation?
4. What happens if the battery is not fully charged?
5. How does temperature affect battery performance?

Tip:

Always account for real-world losses such as inefficiency in the battery system (e.g., 80–90% efficiency) when estimating practical backup times.