
The heating coil of a geyser draws a current of \[7.5{\text{ A}}\] when connected to a source maintaining a potential difference of \[200{\text{ V}}\] between its terminals. What is the resistance of the coil?
Answer
410.1k+ views
Hint: The resistance in an electric circuit can be calculated by applying Ohm’s law to it. Ohm’s law states that the amount of current flowing through an electric circuit is directly proportional to the voltage applied across the circuit. is a proportionality constant and is defined as the resistance applied to the flow of current in the circuit by the conductor. It's S.I. unit is Ohm, \[\Omega \]. The current flowing through the circuit is thus inversely proportional to the resistance.
Formula used:
The Ohm’s Law is given by,
\[\begin{gathered}
V\alpha I \\
V = IR \\
\end{gathered} \]
\[I\]is the current passing through the circuit, \[V\]is the voltage applied across the circuit, \[R\]is the resistance.
Complete step by step answer:
The Ohm’s Law is given by,
\[V\alpha I\]
\[ \Rightarrow V = IR\]
\[I\] is the current passing through the circuit, \[V\]is the voltage applied across the circuit, \[R\]is the resistance.
\[R\]is a proportionality constant and is defined as the resistance applied to the flow of current in the circuit by the conductor. It's S.I. unit is Ohm, \[\Omega \]. The current flowing through the circuit is thus inversely proportional to the resistance.
Substitute \[7.5{\text{ A}}\]for \[I\] and \[200{\text{ V}}\] for \[V\]in equation (1) as
\[200{\text{ V}} = \left( {7.5{\text{ A}}} \right)R\]
\[ \Rightarrow R = \dfrac{{200{\text{ V}}}}{{7.5{\text{ A}}}}\]
\[ \Rightarrow R = 26.67{\text{ }}\Omega \]
Therefore, the resistance of the coil is \[26.67{\text{ }}\Omega \].
Note: Ohm’s law studies the current and voltage in an electric circuit and their impact on the various properties of the electrical elements present in the circuit. Most of the electrical devices obey Ohm’s law and are called Ohmic devices. However, Ohm’s law is valid only when the parameters like temperature and other physical conditions remain constant. Ohm’s law forms the basic law of any electrical analysis as it gives us the values of current, voltage, and resistance which further helps us in calculating the power consumed by a circuit. Ohm’s law does not apply to unilateral and non-linear electrical devices like diodes, transistors, capacitors, etc.
Formula used:
The Ohm’s Law is given by,
\[\begin{gathered}
V\alpha I \\
V = IR \\
\end{gathered} \]
\[I\]is the current passing through the circuit, \[V\]is the voltage applied across the circuit, \[R\]is the resistance.
Complete step by step answer:
The Ohm’s Law is given by,
\[V\alpha I\]
\[ \Rightarrow V = IR\]
\[I\] is the current passing through the circuit, \[V\]is the voltage applied across the circuit, \[R\]is the resistance.
\[R\]is a proportionality constant and is defined as the resistance applied to the flow of current in the circuit by the conductor. It's S.I. unit is Ohm, \[\Omega \]. The current flowing through the circuit is thus inversely proportional to the resistance.
Substitute \[7.5{\text{ A}}\]for \[I\] and \[200{\text{ V}}\] for \[V\]in equation (1) as
\[200{\text{ V}} = \left( {7.5{\text{ A}}} \right)R\]
\[ \Rightarrow R = \dfrac{{200{\text{ V}}}}{{7.5{\text{ A}}}}\]
\[ \Rightarrow R = 26.67{\text{ }}\Omega \]
Therefore, the resistance of the coil is \[26.67{\text{ }}\Omega \].
Note: Ohm’s law studies the current and voltage in an electric circuit and their impact on the various properties of the electrical elements present in the circuit. Most of the electrical devices obey Ohm’s law and are called Ohmic devices. However, Ohm’s law is valid only when the parameters like temperature and other physical conditions remain constant. Ohm’s law forms the basic law of any electrical analysis as it gives us the values of current, voltage, and resistance which further helps us in calculating the power consumed by a circuit. Ohm’s law does not apply to unilateral and non-linear electrical devices like diodes, transistors, capacitors, etc.
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Glucose when reduced with HI and red Phosphorus gives class 11 chemistry CBSE

The highest possible oxidation states of Uranium and class 11 chemistry CBSE

Find the value of x if the mode of the following data class 11 maths CBSE

Which of the following can be used in the Friedel Crafts class 11 chemistry CBSE

A sphere of mass 40 kg is attracted by a second sphere class 11 physics CBSE

Trending doubts
10 examples of friction in our daily life

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells

State and prove Bernoullis theorem class 11 physics CBSE

What organs are located on the left side of your body class 11 biology CBSE

Write down 5 differences between Ntype and Ptype s class 11 physics CBSE
