Which changes would cause an increase in the resistance of a wire? Check all that apply. increasing its temperature decreasing its temperature using a longer wire using a shorter wire using a thicker wire using a thinner wire

Answers (1)

R=\rho \frac{L}{A}

where R is the resistance of a wire, \rho its resistivity, L its length and A its area.

From here we can say that 

1. R is direclty proportional to length, so if we use a longer wire,  the resistance increases.

2. R is inversely proportional to area, so if we use a thinner wire, that means we are decreasing the diameter of wire and if the diameter decreases then area will also decrease, therefore the resistance will increase.

3. Resistance is dependent of temperature by this formula, 

so when we increase the temperature of the wire, the atoms of the wire will move faster, so if a current passes through the wire, the electrons of the current collide more with the atoms of the wire: therefore, the resistance increases.

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