According to Ohm's Law, which of the following is true?

Question

Question

This question was previously asked in

RRB ALP CBT I 31 Aug 2018 Shift 2 Official Paper

The current flowing through a wire is inversely proportional to its length
The current flowing through a wire is directly proportional to its Resistance.
The current flowing through a wire is directly proportional to the Potential Difference applied across its ends.
The current flowing through the wire is inversely proportional to the Potential Difference applied across its ends.

Answer 1

CONCEPT:

Ohm's Law:

The current flowing through a wire is directly proportional to the potential difference applied across its ends, provided the physical conditions such as temperature remains unchanged.

i.e. V = IR

Where V = potential difference, R = resistance and I = current.

EXPLANATION:

Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points, given that the physical conditions such as length or temperature of wire remain constant. Therefore option 1 is incorrect.
The current flowing through a wire is inversely proportional to its resistance i.e., more the resistance less will be the current and vice - versa. Therefore option 2 is incorrect.
From above it is clear that the Ohm's law states that current flowing through a wire is directly proportional to the potential difference applied across its ends. Therefore option 3 is correct and option 4 is incorrect.