
The lamp of can headlight is rated at 12V,50W.Calculate the current in the lamp hem operating normally.
Answer
509.1k+ views
Hint Directly apply $P = VI$ formula where P=power, v=voltage and J=current which we have to find.
Complete step-by-step solution
Given that,
the lamp of car headlight is sated at $12v,50w$ it means that the headlight has
Power $ = 50W,$
Voltage$ = 12v.$ (it consumer)
So, if we draw a diagram how it is working it is something like.
Here, the bulb is auditing light by consuming voltage as given it is 12v and the bulb is generating a power. which is also given 50w.
So, it we look into necessary for using the formula $P = IV$ ①
Where P = power.
I = Current.
V = Voltage.
Now,
Applying the formula in $eq$① we get
$P = IV$
$ \Rightarrow T = \dfrac{p}{V}$ because we have to find current (I) we wrote the formula in terms of I.
$\therefore I = \dfrac{P}{V}$
$ = \left( {\dfrac{{50}}{{12}}} \right)A$
$I = \dfrac{{25}}{6}A$
Hence, the current in the lamp when operating normally is $\dfrac{{25}}{6}A.$
Note In this type of question , applying the formula simply is the deal .An important thing, remember the unit of each thing given or to find in the $\underline {question.} $
Complete step-by-step solution
Given that,
the lamp of car headlight is sated at $12v,50w$ it means that the headlight has
Power $ = 50W,$
Voltage$ = 12v.$ (it consumer)
So, if we draw a diagram how it is working it is something like.
Here, the bulb is auditing light by consuming voltage as given it is 12v and the bulb is generating a power. which is also given 50w.
So, it we look into necessary for using the formula $P = IV$ ①
Where P = power.
I = Current.
V = Voltage.
Now,
Applying the formula in $eq$① we get
$P = IV$
$ \Rightarrow T = \dfrac{p}{V}$ because we have to find current (I) we wrote the formula in terms of I.
$\therefore I = \dfrac{P}{V}$
$ = \left( {\dfrac{{50}}{{12}}} \right)A$
$I = \dfrac{{25}}{6}A$
Hence, the current in the lamp when operating normally is $\dfrac{{25}}{6}A.$
Note In this type of question , applying the formula simply is the deal .An important thing, remember the unit of each thing given or to find in the $\underline {question.} $
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