The ends of a wire are connected to the terminals of a battery, and a current I

Question

The ends of a wire are connected to the terminals of a battery, and a current I is flowing through the circuit. For which of the following changes will the resulting current have a larger value? Check all that applies.
[a] Replace the wire with one that has a larger resistivity. [b] Replace the wire with one that has a larger radius. [c] Replace the wire with a longer one. [d] Replace the wire with one that has a smaller resistivity. [e] Replace the wire with one that has a smaller radius. [f] Replace the wire with a shorter one. The ends of a wire are connected to the terminals of a battery, and a current I is flowing through the circuit. For which of the following changes will the resulting current have a larger value? Check all that applies.
[a] Replace the wire with one that has a larger resistivity. [b] Replace the wire with one that has a larger radius. [c] Replace the wire with a longer one. [d] Replace the wire with one that has a smaller resistivity. [e] Replace the wire with one that has a smaller radius. [f] Replace the wire with a shorter one.
[a] Replace the wire with one that has a larger resistivity. [b] Replace the wire with one that has a larger radius. [c] Replace the wire with a longer one. [d] Replace the wire with one that has a smaller resistivity. [e] Replace the wire with one that has a smaller radius. [f] Replace the wire with a shorter one.

Explanation / Answer

Here ,

Ohm's law states that

V = IR

I = V/R

and

Resistance = resistivity * Length/Area

Hence , to increase Current , We have to decrease R

Now , the correct options are

[b] Replace the wire with one that has a larger radius.

[d] Replace the wire with one that has a smaller resistivity.

[f] Replace the wire with a shorter one.

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