Fill in the blanks with appropriate answers.
i) If the resistance as the conductor is made thinner its area will decrease and hence the resistance would ____.
ii) Keeping the potential difference constant, the resistance of a circuit is doubled. The current will be[[2]].

Question

Fill in the blanks with appropriate answers.
i) If the resistance as the conductor is made thinner its area will decrease and hence the resistance would ____.
ii) Keeping the potential difference constant, the resistance of a circuit is doubled. The current will be[[2]].

Accepted Answer

Concept: If the resistance as the conductor is made thinner its area will decrease and hence the resistance would increase. Keeping the potential difference constant, the resistance of a circuit is doubled. The current will be halved.
We may use the several equations that characterise resistance to provide the answers to these queries. For instance, resistance can be described in terms of the conductor's length and area, or it can be defined as the potential difference divided by the current passing through the thing.
I The amount of resistance provided by an item when a potential difference of 1 volt is put across it and a current of 1 Ampere runs through it is measured in ohms.
i) A conductor's resistance is described as:

Here, l denotes the conductor's length, A denotes the conductor's area, and, which is a constant, denotes the resistivity. And in response to the query, assuming that the conductor's length does not change, we may state that the resistance will be inversely proportional to its area:

Here, l denotes the conductor's length, A denotes the conductor's area, and, which is a constant, denotes the resistivity. And in response to the query, assuming that the conductor's length does not change, we may state that the resistance will be inversely proportional to its area:
ii)

The current flowing through the circuit and the resistance will be inversely proportional to one another if potential difference is maintained, as shown by:

Therefore, we may conclude that if the circuit's resistance is doubled, the current will be cut in half.
Hence, the appropriate responses are increased, and halved.