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A 14 V d.c - OCR - A-Level Physics A - Question 7 - 2016 - Paper 1

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A 14 V d.c. supply is used to charge a 12 V car battery of internal resistance 0.80 Ω for 6.0 hours. The current in the circuit is 2.5 A. How much electrical energy... show full transcript

Worked Solution & Example Answer:A 14 V d.c - OCR - A-Level Physics A - Question 7 - 2016 - Paper 1

Step 1

Calculate the total time in seconds

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Answer

To find the total time in seconds, convert hours to seconds:

extTime=6.0exthoursimes3600extseconds/hour=21600extseconds ext{Time} = 6.0 ext{ hours} imes 3600 ext{ seconds/hour} = 21600 ext{ seconds}

Step 2

Calculate the total electrical energy

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Using the formula for electrical energy:

extEnergy=extPowerimesextTime ext{Energy} = ext{Power} imes ext{Time}

First, calculate the power supplied:

extPower=VimesI=14extVimes2.5extA=35extW ext{Power} = V imes I = 14 ext{ V} imes 2.5 ext{ A} = 35 ext{ W}

Now, substitute time into the energy formula:

extEnergy=35extWimes21600extseconds=756000extJ=756extkJ ext{Energy} = 35 ext{ W} imes 21600 ext{ seconds} = 756000 ext{ J} = 756 ext{ kJ}

Step 3

Final answer selection

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Answer

The total electrical energy provided by the charging supply is 760 kJ.

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