Your car's 29.5 W headlight and 2.15 kW starter are ordinarily connected in parallel in a 12.0 V system. What power (in W) would one headlight and the starter consume if connected in series to a 12.0 V battery

Total power = 29 W (Approx)

Explanation:

Given:

Power of headlight(r) = 29.5 W

Power of starter(R) = 2150 W

Voltage of starter = Voltage of headlight = 12 V

Find:

Total power

Computation:

Rt = V² / P

Resistance of headlight

Rh = 12² / 29.5

Rh = 4.88Ω

Resistance of starter

Rs = 12² / 2150

Rs = 0.6697Ω

Equivalent resistance = Rh + Rs

Equivalent resistance = 4.88Ω + 0.6697Ω

Equivalent resistance = 4.9496Ω

Total power = V² / Equivalent resistance

Total power = 12² / 4.9496

Total power = 29.093

Total power = 29 W (Approx)

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