You forget to turn off the headlights in your car. Your car battery is a 12V battery with a 55 A.h (Amp hours) rating. If your two 12 V headlights are each rated at 40W, wil hey still be on when you return 8 hours later? (Note: Even if they're on, your car might not start because ignition requires greater power than the depleted battery can roduce)
You forget to turn off the headlights in your car. Your car battery is a 12V battery with a 55 A.h (Amp hours) rating. If your two 12 V headlights are each rated at 40W, wil hey still be on when you return 8 hours later? (Note: Even if they're on, your car might not start because ignition requires greater power than the depleted battery can roduce)
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Transcribed Image Text:**Title: Understanding Car Battery Usage**
**Scenario:**
You forget to turn off the headlights in your car. Your car battery is a 12V battery with a 55 Amp-hour (A.h) rating. If your two 12V headlights are each rated at 40 watts (W), will they still be on when you return 8 hours later?
**Analysis:**
1. **Battery and Headlights:**
- Battery Voltage: 12V
- Battery Capacity: 55 A.h
- Headlight Power Rating: 40W each
- Total Power for Two Headlights: 2 x 40W = 80W
2. **Calculating Current Draw:**
- Power (P) = Voltage (V) x Current (I)
- Current (I) = Power (P) / Voltage (V) = 80W / 12V = 6.67A
3. **Battery Life Span:**
- Use the Amp-hour rating to calculate how long the battery will last:
- Battery Capacity (A.h) / Current (A) = 55 A.h / 6.67A ≈ 8.25 hours
**Conclusion:**
The headlights will still be on when you return 8 hours later. However, as noted, even if they're on, your car might not start because the ignition requires greater power than the depleted battery can produce.
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