Answer
385.8k+ views
Hint: You could recall some relation that relates the voltage with the capacitance and charge of a capacitor. Then you could see which among them remains constant for a given capacitor. Thereby, we will get a proportionality relation and hence we could see what happens on doubling the voltage.
Formula used:
Charge of capacitor,
$Q=CV$
Complete answer:
In the question, we are said that the voltage that is applied across a capacitor of capacitance C is doubled from V to 2V. This is followed by certain conditions and we are supposed to find the correct statement among them.
In order to answer this, let us recall the relation that relates the capacitance, voltage and charge of a capacitor. This relation is given by,
$Q=CV$ …………………………………… (1)
Here, Q is the charge of the capacitor, C is its capacitance and V is the voltage.
The fact we have to always keep in mind is that the capacitance of a particular capacitor has a constant value, that is, it remains the same on doubling the voltage.
Now from (1),
$Q\propto V$
Therefore, we could say the charge in a capacitor is doubled on doubling the voltage.
Hence, option C is found to be the answer.
Note:
Another significant quantity related to capacitor is its energy. The energy stored in a capacitor is given by,
$E=\dfrac{1}{2}C{{V}^{2}}$
Clearly, we see that the energy is directly proportional to the square of the voltage. So, on doubling the voltage the energy becomes four times the initial value.
Formula used:
Charge of capacitor,
$Q=CV$
Complete answer:
In the question, we are said that the voltage that is applied across a capacitor of capacitance C is doubled from V to 2V. This is followed by certain conditions and we are supposed to find the correct statement among them.
In order to answer this, let us recall the relation that relates the capacitance, voltage and charge of a capacitor. This relation is given by,
$Q=CV$ …………………………………… (1)
Here, Q is the charge of the capacitor, C is its capacitance and V is the voltage.
The fact we have to always keep in mind is that the capacitance of a particular capacitor has a constant value, that is, it remains the same on doubling the voltage.
Now from (1),
$Q\propto V$
Therefore, we could say the charge in a capacitor is doubled on doubling the voltage.
Hence, option C is found to be the answer.
Note:
Another significant quantity related to capacitor is its energy. The energy stored in a capacitor is given by,
$E=\dfrac{1}{2}C{{V}^{2}}$
Clearly, we see that the energy is directly proportional to the square of the voltage. So, on doubling the voltage the energy becomes four times the initial value.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Why Are Noble Gases NonReactive class 11 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let X and Y be the sets of all positive divisors of class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
At which age domestication of animals started A Neolithic class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)