Knowee
Questions
Features
Study Tools

Suppose that a simple circuit comprising one voltage source and one metallic resistor yields current I.  If the resistor were replaced with another resistor that is identical except that it has 75% lower conductivity, then I would:A.increase by a factor of 2.B.increase by a factor of 4.C.decrease by a factor of 2.D.decrease by a factor of 4.

Question

Suppose that a simple circuit comprising one voltage source and one metallic resistor yields current I.  If the resistor were replaced with another resistor that is identical except that it has 75% lower conductivity, then I would:A.increase by a factor of 2.B.increase by a factor of 4.C.decrease by a factor of 2.D.decrease by a factor of 4.

🧐 Not the exact question you are looking for?Go ask a question

Solution

The relationship between current (I), voltage (V), and resistance (R) in a circuit is given by Ohm's Law, which states that I = V/R.

If the conductivity of the resistor decreases by 75%, this means that the resistance of the resistor increases by a factor of 4 (since conductivity and resistance are inversely proportional).

Substituting this into Ohm's Law, we get I = V/(4R).

This means that the current would decrease by a factor of 4.

So, the correct answer is D. decrease by a factor of 4.

This problem has been solved

Similar Questions

Which one of these statements is trueSelect one:a.As conductor length increases, conductance increases proportionallyb.As resistance increases, conductance increases proportionallyc.None of these statements are trued.As conductor area increases, conductance increases proportionallye.As conductor area decreases, conductance increases proportionally

Define specific resistance of a conductor. On what factor(s) does it depend?

Electrolytic conduction differs from metallic conduction from the fact that is the former The resistance increases with increasing temperatureThe resistance decreases with increasing temperatureThe resistance remains constant with increasing temperatureThe resistance is independent of the length of the conductor

A circuit is set up to test two different resistors. Resistor 1 has a resistance of 4 ohms and Resistor 2 has a resistance of 2 ohms. Which resistor will have the bigger current flowing through it, if the potential difference is constant?

The resistivity of a metallic conductor ______________ with decrease in temperature

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.