All Problems

Constant Electric Field in a Vacuum

Problem 3.31

There is an infinitely long straight thread carrying a charge with linear density λ=0.40μC/m.\lambda=0.40 \mu \mathrm{C} / \mathrm{m} . Calculate the potential difference between points 1 and 2 if point 2 is removed η=2.0\eta=2.0 times farther from the thread than point 1 .

Reveal Answer
φ1φ2=λ2πε0lnη=5kV\varphi_{1}-\varphi_{2}=\frac{\lambda}{2 \pi \varepsilon_{0}} \ln \eta=5 \mathrm{kV}