Material for this Lab Experiment 6 Manual General Lab Docume

Material for this Lab Experiment 6 Manual General Lab Documents TOC and Introduction Appendix A: Error Analysis for the Physics Labs Appendix B: Introduction to Spreadsheets and EXCEL 2010 Problem Statement: A very long wire has a linear charge density lambda = 2.0 nC/m. What is the potential difference Delta V = V(r_2) - V(r_1) between points at radial distances r_2 = 2.0 and r_1 = 1.0 cm? (use epsilon_0 = 8.85 10^-12 C/V^-1 m^-1) Numeric : A numeric value is expected and not an expression. Material for this Lab Experiment 6 Manual General Lab Documents TOC and Introduction Appendix A: Error Analysis for the Physics Labs Appendix B: Introduction to Spreadsheets and EXCEL 2010 Problem Statement: Consider the following: What is the magnitude of the magnetic field in T in the center of a very long solenoid with n = 10,000.0 turns per meter with I = 1.0 mA? Numeric : A numeric value is expected and not an expression. Material for this Lab Experiment 6 Manual General Lab Documents TOC and Introduction Appendix A: Error Analysis for the Physics Labs Appendix B: Introduction to Spreadsheets and EXCEL 2010 Problem Statement: Consider the following: If 1.0 V is applied across a 1.0 k Ohm resistor, how much current in mA flows through the resistor? Numeric : A numeric value is expected and not an expression.

Solution

Problem 1: For a long line charge with charge density , the potential difference any two points at distance, say Ra and Rb is given as Va - Vb = (/2₀)ln(Rb / Ra)

Hence, Vr1- Vr2 = (2 x 10^-9 / 2 x 3.14 x 8.85 x 10^-12) ln(2)

V = 24.9432

Problem 2: For a very long solenoid the magnetic field inside it is given as B = nI

where is then permittivity, n is the number of turns of the solenoid and I is the current.

Hence, B = 4 x 10^-7 x 10000 x 10^-3 = 12.56 x 10^-6 T

Problem 3: For a circuit with net potential difference, V and resistance R, the current that flows in the circuit is given as: I = V/R

I = 1 / 10^-3 = 10^3 A = 1 mA