Concepts Of Physics MCQ Edition [Volume 2]PhysicsElectric Current in Conductors
A power supply of 20 V is connected across a copper wire having a resistance of 1 k and a radius of 0.1 mm . Determine the number of electrons transferred per second between the supply and the wire at one of its ends.
Options
- A1.25 10¹⁹
- B8.0 10¹⁶
- C1.25 10¹⁷
- D3.2 10¹⁷
Correct answer
C. 1.25 10¹⁷
Step-by-step solution
Given V = 20 V and R = 1 k = 1000 . The current flowing through the wire is given by Ohm's law: I = V R = 20 1000 = 0.02 A The current represents the rate of flow of charge, so the charge transferred per second is q = 0.02 C . The number of electrons transferred per second is: n = q e = 0.02 1.6 10⁻¹⁹ n = 1.25 10¹⁷ The radius of the wire is extraneous information not required for this calculation.