How much charge runs through a $ 100{\text{ W}} $ light bulb connected to a $ 120{\text{ V}} $ source for one hour?
Answer
600k+ views
Hint :Here, as power and Voltage is given so we will be using the expression $ {\text{P = V}} \times {\text{I}} $ to find out the current first and in order to calculate the charge running through the bulb, we will use $ {\text{q = i}} \times {\text{t}} $ later.
Complete Step By Step Answer:
We know that the electric power in terms of voltage and current is given by,
$ {\text{P = V}} \times {\text{I}} $
Where, P is power in wattage
V is Voltage in Volt
And, I is current in Ampere.
As given in question we have Power, $ {\text{P = 100 W}} $ and Voltage, $ {\text{V = 120 V}} $ , Putting these values in above equation we will have,
$ {\text{100 = 120}} \times {\text{I}} $
$ {\text{I = 0}}{\text{.83 A}} $
So, we have got current $ {\text{I = 0}}{\text{.83 A}} $ and as asked in question we will now find out the charge.
For charge, we will be using, $ q = i \times t $
Where, q is charged in Coulomb, I is current in ampere and t is time in seconds for which current was/is running.
Now as we have time t in an hour we will convert it into seconds.
$ 1{\text{ h = 60}} \times {\text{60 seconds}} $
Now, putting the value of I and t in equation above, we will have,
$ q = 0.83 \times 3600 $
$ q = 2988{\text{ C}} $
Hence, the answer is $ 2988 $ Coulomb charge will be running through the bulb in one hour which is connected to a $ 120{\text{ V}} $ supply.
Note :
It is good to note that while solving any of the expressions in these types of questions if we have rounded a value up to some decimal places, then the final answer also will get rounded off up to some figure. Also Power, P can be related to current I by $ P = {I^2}R $ , where R is the resistance.
Complete Step By Step Answer:
We know that the electric power in terms of voltage and current is given by,
$ {\text{P = V}} \times {\text{I}} $
Where, P is power in wattage
V is Voltage in Volt
And, I is current in Ampere.
As given in question we have Power, $ {\text{P = 100 W}} $ and Voltage, $ {\text{V = 120 V}} $ , Putting these values in above equation we will have,
$ {\text{100 = 120}} \times {\text{I}} $
$ {\text{I = 0}}{\text{.83 A}} $
So, we have got current $ {\text{I = 0}}{\text{.83 A}} $ and as asked in question we will now find out the charge.
For charge, we will be using, $ q = i \times t $
Where, q is charged in Coulomb, I is current in ampere and t is time in seconds for which current was/is running.
Now as we have time t in an hour we will convert it into seconds.
$ 1{\text{ h = 60}} \times {\text{60 seconds}} $
Now, putting the value of I and t in equation above, we will have,
$ q = 0.83 \times 3600 $
$ q = 2988{\text{ C}} $
Hence, the answer is $ 2988 $ Coulomb charge will be running through the bulb in one hour which is connected to a $ 120{\text{ V}} $ supply.
Note :
It is good to note that while solving any of the expressions in these types of questions if we have rounded a value up to some decimal places, then the final answer also will get rounded off up to some figure. Also Power, P can be related to current I by $ P = {I^2}R $ , where R is the resistance.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Draw ray diagrams each showing i myopic eye and ii class 12 physics CBSE

Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

