Answer

Verified

348.3k+ views

**Hint:**The resistance in the resistance coils and the given voltage can be used in ohm’s law to find how much the current has drawn. When the coils A and B are connected in a series, we just need to find the equivalent resistance in the coils. Then, by using Ohm’s law we can find out how much the current has drawn.

**Complete step-by-step solution:**

Let us draw an electric circuit, for (a) only one coil A is used.

Now, let the resistance of A be ${R_A}$then the current be${I_1}$ can be found by using ohm's law

$V = {I_1}{R_A} \Rightarrow {I_1} = \dfrac{V}{{{R_A}}}$

$ \Rightarrow {I_1} = \dfrac{{220V}}{{24\Omega }}$

$ \Rightarrow {I_1} = 9.16A$

Therefore, the current drawn by using the electric heater when only one coil A is used is $0.917A$

Next, let us draw the circuit diagram for (b) Coils A and B are used in series.

Now, the resistance coils are connected in a series, the equivalent resistance of the circuit coils will be

${R_{eq}} = {R_A} + {R_B}$

$ \Rightarrow {R_{eq}} = 24\Omega + 24\Omega $

$ \Rightarrow {R_{eq}} = 48\Omega $

Let us assume that ${I_2}$is the current drawn when the coils are connected in series, using ohm’s law we have

$V = {I_2}{\operatorname{R} _{eq}}$

$ \Rightarrow {I_2} = \dfrac{v}{{{R_{eq}}}}$

$ \Rightarrow {I_2} = \dfrac{{220V}}{{48\Omega }}$

$\therefore {I_2} = 4.58A$

Therefore, the current drawn when the coils A and B are connected in series is $4.58A$

**Note:**The resistance coils are used in the electric heaters due to their heat dissipation. Here, let us represent the electric heater as a resistor, here we have only connected with the resistor of the electric heater. This applies to all the problems in heating coils, like an electric kettle.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Guru Purnima speech in English in 100 words class 7 english CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

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

Select the word that is correctly spelled a Twelveth class 10 english CBSE