Question

A simple electric circuit has a \[24V\] battery and a resistor of $60\Omega $ . What will be the current in the circuit? The resistance of the connecting wires are negligible.

Answer 1

Hint: We will use ohm's law to solve this problem. Ohm’s law is used to calculate the relationship between current, voltage and resistance. Ohm’s law states that at the given temperature current is directly proportional to the potential difference in a metallic conductor.
Formula Used:
We will use the following relationship to solve the given problem:-
$I=\dfrac{V}{R}$ .

Complete answer:
This problem will be solved by using ohm’s law. Ohm’s law states that at a given temperature electric current is directly proportional to the potential difference in a metallic conductor. Mathematically, it can be stated as follows:-
$V\propto I$
$\Rightarrow V=IR$( $R$ is a constant which is called resistance. )
From this equation we get the following relationship:-
$I=\dfrac{V}{R}$ ………………… $(i)$
Potential of the battery, $V=24V$ .
Resistance of the circuit, $R=60\Omega $ .
We have to calculate the electric current, $I$ .
Putting the values of the given parameters in $(i)$ we get
$I=\dfrac{24}{60}$
$\Rightarrow I=0.4A$
Hence, the current in the circuit will be equal to, $I=0.4A$ .

Additional Information:
We will analyse the electric current, potential and resistance respectively to have better grip on this particular topic.
Electric current is defined as the rate of flow of electric charge.
Potential at a point is defined as the work done in bringing a unit test charge from infinity to that point.
Resistance is defined as the property of a material by which it opposes the electric current throughout.

Note:
It should be noted that ohm’s law is valid only for metallic conductors. Ohm’s law is applicable only for a given temperature. Correct use of the relationship of ohm’s law should be used. Resistance is constant of proportionality for the ohm’s law.