Concept explainers
The variation percentage of the power which is delivered to the headlights as the voltage changes.
Answer to Problem 78GP
Explanation of Solution
Given info:
Voltage when car is on,
Voltage when car is on,
Resistance when car is on or off,
Formula used:
Power:
Where,
Also,
Where,
Calculation:
By using the formula of power:
When the power of the headlight when the car is on equals:
And when the car is OFF
Note that the resistance of the headlight is the same in the both cases.
So, the percentage change of the power:
Thus, from two previous equations:
Substitute all the given values,
Conclusion: The required percentage is
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