Answer
Verified
406.8k+ views
Hint: A Transformer is a static electrical machine which transfers AC electrical power from one circuit to the other circuit at the constant frequency, but the voltage and current through the circuit can be altered that means voltage and the current of the incoming current can be increased or decreased according to the requirement by means of the step-up or step-down transformer.
Complete answer:
Step-down transformer is used to decrease the voltage while the step-up transformer is used to increase the voltage. Here shown is a step-up transformer since the number of turns in the primary coil is less than the number of turns of the secondary coil, ${N_p} < {N_s}$.
As we all know that the transformation ratio of a transformer is,
The transformation ratio is defined as the ratio of the number of turns in the secondary winding to the number of turns in the primary winding.
$T.R. = \dfrac{{{N_s}}}{{{N_p}}}$
Also, the transformation ratio is the ratio of voltage at the secondary terminal to the voltage at the primary terminals.
So, we get $T.R. = \dfrac{{{N_s}}}{{{N_p}}} = \dfrac{{{V_s}}}{{{V_p}}}$-----equation (1)
Also, we know that power is equal to the voltage multiplied by the current.
$P = VI$, where $P = $power, $V = $voltage and $I = $current.
since the frequency will be the same at input and output that means the power will also be same at the input and the output.
So we can write as $\dfrac{P}{{{I_s}}}$and $\dfrac{P}{{{I_p}}}$ in place of ${V_s}$ and ${V_p}$respectively.
So, from equation we get,
$T.R. = \dfrac{{{N_s}}}{{{N_p}}} = \dfrac{{{V_s}}}{{{V_p}}} = \dfrac{{\dfrac{P}{{{I_s}}}}}{{\dfrac{P}{{{I_p}}}}} = \dfrac{{{I_p}}}{{{I_s}}}$
So, we can write like,
$ \Rightarrow \dfrac{{{V_s}}}{{{V_p}}} = \dfrac{{{I_p}}}{{{I_s}}}$
This shows that when voltage will increase then the current will decrease in a step-up transformer.
So, the correct answer is “Option B”.
Note:
The advantages of the use of step-up transformers-
i)It allows the transmission of the electricity over long distances with minimal loss.
ii)It is quite economical because it requires only installation cost and the maintenance is low.
iii)It works non-stop for a very long period of time.
iv)It requires no starting time.
Step-up transformers are used at power stations to produce the very high voltages which are needed to be transmitted through the National Grid power lines. The high voltages which are getting generated are very dangerous to use in the home, so here the role of the step-down transformers also come into picture, so step-down transformers are used locally to reduce the voltage to safe levels to safely use for households.
Complete answer:
Step-down transformer is used to decrease the voltage while the step-up transformer is used to increase the voltage. Here shown is a step-up transformer since the number of turns in the primary coil is less than the number of turns of the secondary coil, ${N_p} < {N_s}$.
As we all know that the transformation ratio of a transformer is,
The transformation ratio is defined as the ratio of the number of turns in the secondary winding to the number of turns in the primary winding.
$T.R. = \dfrac{{{N_s}}}{{{N_p}}}$
Also, the transformation ratio is the ratio of voltage at the secondary terminal to the voltage at the primary terminals.
So, we get $T.R. = \dfrac{{{N_s}}}{{{N_p}}} = \dfrac{{{V_s}}}{{{V_p}}}$-----equation (1)
Also, we know that power is equal to the voltage multiplied by the current.
$P = VI$, where $P = $power, $V = $voltage and $I = $current.
since the frequency will be the same at input and output that means the power will also be same at the input and the output.
So we can write as $\dfrac{P}{{{I_s}}}$and $\dfrac{P}{{{I_p}}}$ in place of ${V_s}$ and ${V_p}$respectively.
So, from equation we get,
$T.R. = \dfrac{{{N_s}}}{{{N_p}}} = \dfrac{{{V_s}}}{{{V_p}}} = \dfrac{{\dfrac{P}{{{I_s}}}}}{{\dfrac{P}{{{I_p}}}}} = \dfrac{{{I_p}}}{{{I_s}}}$
So, we can write like,
$ \Rightarrow \dfrac{{{V_s}}}{{{V_p}}} = \dfrac{{{I_p}}}{{{I_s}}}$
This shows that when voltage will increase then the current will decrease in a step-up transformer.
So, the correct answer is “Option B”.
Note:
The advantages of the use of step-up transformers-
i)It allows the transmission of the electricity over long distances with minimal loss.
ii)It is quite economical because it requires only installation cost and the maintenance is low.
iii)It works non-stop for a very long period of time.
iv)It requires no starting time.
Step-up transformers are used at power stations to produce the very high voltages which are needed to be transmitted through the National Grid power lines. The high voltages which are getting generated are very dangerous to use in the home, so here the role of the step-down transformers also come into picture, so step-down transformers are used locally to reduce the voltage to safe levels to safely use for households.
Recently Updated Pages
Draw a labelled diagram of DC motor class 10 physics CBSE
A rod flies with constant velocity past a mark which class 10 physics CBSE
Why are spaceships provided with heat shields class 10 physics CBSE
What is reflection Write the laws of reflection class 10 physics CBSE
What is the magnetic energy density in terms of standard class 10 physics CBSE
Write any two differences between a binocular and a class 10 physics CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
Name 10 Living and Non living things class 9 biology CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Write a letter to the principal requesting him to grant class 10 english CBSE
Fill the blanks with proper collective nouns 1 A of class 10 english CBSE
Write the 6 fundamental rights of India and explain in detail