The power dissipated in a conductor of resistivity ρ connected across a battery is directly proportional to Only one correct answerA.ρ2B.√ρρC.ρD.ρ–1
Question
The power dissipated in a conductor of resistivity ρ connected across a battery is directly proportional to
Only one correct answer
A. ρ²
B. √ρρ
C. ρ
D. ρ⁻¹
Solution
The power (P) dissipated in a conductor can be calculated using the formula P = I^2 * R, where I is the current and R is the resistance.
The resistance (R) of a conductor can be calculated using the formula R = ρ * L / A, where ρ is the resistivity, L is the length of the conductor, and A is the cross-sectional area of the conductor.
Substituting the second equation into the first, we get P = I^2 * (ρ * L / A).
From this equation, we can see that the power dissipated in a conductor is directly proportional to the resistivity (ρ).
Therefore, the correct answer is C. ρ.
Similar Questions
Two resistors R1 and R2 of 4Ω and 6Ω are connected in parallel across a battery. The ratio of power dissipated in them, P1: P2 will be.
When a battery of 9 V is connected across a conductor and the current flowing is 0.1 A, the resistance is:(a) 90 W (b) 0.9 W (c) 9 W (d) 900 W
Using Ohm’s law, state three expressions for the electrical power that is dissipated in a resistor
Which of the following does not affect the resistance of a conductor.a.Areab.Conductivityc.Lengthd.Temperature
If i is current through the circuit and E is EMF of battery then power P at which chemical energy of battery is dissipated isa.P=iEb.P=E/ic.P=Ei^2d.P=i/E
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.