Answer
Verified
451.5k+ views
Hint: The rate of chemical energy consumed is nothing but power. Use the formula of power. Many forms of power are available using any formula which will give you relation between current and resistance, since values and current resistance are available. Use Kirchhoff’s voltage and current law.
Formula used: $\text{power=(current)}\times \text{(current)}\times \text{(resistance)}$
Complete step by step answer:
First, understand what the question wants to convey.
Consider a circuit having cells and resistance connected to each other by wires. The cell is nothing but a device. Devices have their internal resistance. So the cell has resistance 4ohm. 0.2 is the current passing through the circuit. While external resistance that is the resistance which we have applied is 21 ohm.
Aim: The rate of chemical energy consumed in providing the current which is nothing but power.
We know that,
$\text{voltage=current }\!\!\times\!\!\text{ resistance}$
Mathematically is given by,
$V=I\times R--------\left( 1 \right)$
Use the formula of power I.e. The rate of chemical energy consumed in providing the current,
So by conservation of energy.
Heat energy produced per sec= Power
$\text{power=(current)}\times \text{(current)}\times \text{(resistance)}$
$\begin{align}
& \text{power(P)=}{{\text{I}}^{\text{2}}}\text{(R+r)} \\
& \text{power=0}\text{.2 }\!\!\times\!\!\text{ 0}\text{.2 }\!\!\times\!\!\text{ (21+4)} \\
& \text{power=1J}{{\text{s}}^{\text{-1}}} \\
\end{align}$
(Where r is the internal resistance and R is the external resistance)
Hence the rate of chemical energy consumed in providing the current is $\text{1J}{{\text{s}}^{\text{-1}}}$.
Hence, the correct answer is option A .
Note:
You can get the idea of what to find out in question by looking at the options. Internal resistance is the resistance which the device itself has while manufacturing. External resistance is what we apply to the circuit.
Formula used: $\text{power=(current)}\times \text{(current)}\times \text{(resistance)}$
Complete step by step answer:
First, understand what the question wants to convey.
Consider a circuit having cells and resistance connected to each other by wires. The cell is nothing but a device. Devices have their internal resistance. So the cell has resistance 4ohm. 0.2 is the current passing through the circuit. While external resistance that is the resistance which we have applied is 21 ohm.
Aim: The rate of chemical energy consumed in providing the current which is nothing but power.
We know that,
$\text{voltage=current }\!\!\times\!\!\text{ resistance}$
Mathematically is given by,
$V=I\times R--------\left( 1 \right)$
Use the formula of power I.e. The rate of chemical energy consumed in providing the current,
So by conservation of energy.
Heat energy produced per sec= Power
$\text{power=(current)}\times \text{(current)}\times \text{(resistance)}$
$\begin{align}
& \text{power(P)=}{{\text{I}}^{\text{2}}}\text{(R+r)} \\
& \text{power=0}\text{.2 }\!\!\times\!\!\text{ 0}\text{.2 }\!\!\times\!\!\text{ (21+4)} \\
& \text{power=1J}{{\text{s}}^{\text{-1}}} \\
\end{align}$
(Where r is the internal resistance and R is the external resistance)
Hence the rate of chemical energy consumed in providing the current is $\text{1J}{{\text{s}}^{\text{-1}}}$.
Hence, the correct answer is option A .
Note:
You can get the idea of what to find out in question by looking at the options. Internal resistance is the resistance which the device itself has while manufacturing. External resistance is what we apply to the circuit.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Which are the Top 10 Largest Countries of the World?
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
How do you graph the function fx 4x class 9 maths CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE