Answer
64.8k+ views
Hint: Electric potential could be a location-dependent amount that expresses the number of potential energy per unit of charge at such location. Once a Coulomb of charge (or any given quantity of charge) possesses a comparatively great quantity of potential energy at a given location, then that location is alleged to be a location of high electric potential. And equally, if a Coulomb of charge (or any given quantity of charge) possesses a comparatively tiny amount of potential energy at a given location, then that location is alleged to be a location of low electric potential.
Formula used:
Heat produced,
$ \Rightarrow H = \dfrac{{{V^2}t}}{R}$
Where, $H$is the heat produced, $V$is the voltage, $t$is the time, and $R$is the resistance.
Voltmeter,
$ \Rightarrow V = R - IR$
Where, $R$ is the resistance, and $I$ is the ammeter.
Complete step by Step Solution In this question, the heat is altered and that causes the heat produced by is $9$ times its initial.
So they are asking the factor for which the applied potential difference changes.
$\left( a \right)$. Suppose the original potential difference applied to be $V$ and the original heat produced will be $H$.
Then,
$ \Rightarrow H = \dfrac{{{V^2}t}}{R}$
Now the new potential difference will be $V'$ and the heat produced after the change is $H'$
Then, we can write the equation as
$ \Rightarrow H' = \dfrac{{{{V'}^2}t}}{R}$
According to the question statement,
$ \Rightarrow H' = 9H$
Now we will put the values of both the heat,
We get
$ \Rightarrow \dfrac{{{{V'}^2}t}}{R} = 9 \times \dfrac{{{V^2}t}}{R}$
On further solving this equation, we get
$ \Rightarrow {V'^2} = 9{V^2}$
Which implies,
$ \Rightarrow V' = 3V$
Therefore we can say that the potential difference is increased by a factor $3$.
$\left( b \right)$. Let us consider the voltmeter and the ammeter to be in an ideal state.
Here the total resistance $R$ will be equal to
$ \Rightarrow R = 4 + 2$
$ \Rightarrow 6\Omega $
Then the ammeter reading will be,
$ \Rightarrow I = \dfrac{V}{R}$
$ \Rightarrow I = \dfrac{{12}}{6}$
$ \Rightarrow 2A$
Hence the ammeter reading will be$2A$.
Now we will calculate the voltmeter required,
$ \Rightarrow V = R - IR$
Substituting the values, we get
$ \Rightarrow 12 - 2 \times 2$
$ \Rightarrow 12 - 4$
$ \Rightarrow 8V$
Therefore the voltmeter reading will be $8V$.
Note: Voltmeters and ammeters measure the voltage and current, severally, of a circuit. Some meters in automobile dashboards, digital cameras, cell phones, and tuner-amplifiers are voltmeters or ammeters.
Formula used:
Heat produced,
$ \Rightarrow H = \dfrac{{{V^2}t}}{R}$
Where, $H$is the heat produced, $V$is the voltage, $t$is the time, and $R$is the resistance.
Voltmeter,
$ \Rightarrow V = R - IR$
Where, $R$ is the resistance, and $I$ is the ammeter.
Complete step by Step Solution In this question, the heat is altered and that causes the heat produced by is $9$ times its initial.
So they are asking the factor for which the applied potential difference changes.
$\left( a \right)$. Suppose the original potential difference applied to be $V$ and the original heat produced will be $H$.
Then,
$ \Rightarrow H = \dfrac{{{V^2}t}}{R}$
Now the new potential difference will be $V'$ and the heat produced after the change is $H'$
Then, we can write the equation as
$ \Rightarrow H' = \dfrac{{{{V'}^2}t}}{R}$
According to the question statement,
$ \Rightarrow H' = 9H$
Now we will put the values of both the heat,
We get
$ \Rightarrow \dfrac{{{{V'}^2}t}}{R} = 9 \times \dfrac{{{V^2}t}}{R}$
On further solving this equation, we get
$ \Rightarrow {V'^2} = 9{V^2}$
Which implies,
$ \Rightarrow V' = 3V$
Therefore we can say that the potential difference is increased by a factor $3$.
$\left( b \right)$. Let us consider the voltmeter and the ammeter to be in an ideal state.
Here the total resistance $R$ will be equal to
$ \Rightarrow R = 4 + 2$
$ \Rightarrow 6\Omega $
Then the ammeter reading will be,
$ \Rightarrow I = \dfrac{V}{R}$
$ \Rightarrow I = \dfrac{{12}}{6}$
$ \Rightarrow 2A$
Hence the ammeter reading will be$2A$.
Now we will calculate the voltmeter required,
$ \Rightarrow V = R - IR$
Substituting the values, we get
$ \Rightarrow 12 - 2 \times 2$
$ \Rightarrow 12 - 4$
$ \Rightarrow 8V$
Therefore the voltmeter reading will be $8V$.
Note: Voltmeters and ammeters measure the voltage and current, severally, of a circuit. Some meters in automobile dashboards, digital cameras, cell phones, and tuner-amplifiers are voltmeters or ammeters.
Recently Updated Pages
Write a composition in approximately 450 500 words class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What is the common property of the oxides CONO and class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
The area of square inscribed in a circle of diameter class 10 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Other Pages
A boat takes 2 hours to go 8 km and come back to a class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Electric field due to uniformly charged sphere class 12 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
In the ground state an element has 13 electrons in class 11 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
According to classical free electron theory A There class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)