Calculate the electric potential due to a tiny dipole whose dipole moment is 4.8 x 10⁻³⁰ Cm at a point 4.1 x 10⁻⁹ m away if this point is along the axis of the dipole nearer the positive charge.

Suppose the end of your finger is charged.

(a) Estimate the breakdown voltage in air for your finger.

(b) About what surface charge density would have to be on your finger at this voltage?

A very long conducting cylinder (length ℓ) of radius R₀ (R₀ ≪ ℓ) carries a uniform surface charge density σ (C/m²). The cylinder is at an electric potential V₀. Determine the potential, at points far from the end, at a distance R from the center of the cylinder for

(a) R > R₀

(b) R < R₀.

(c) Is V = 0 at R = ∞ (assume ℓ = ∞ )? Explain. [Hint: Recall Gauss’s law.]

Two point charges, 3.4 μC and -2.0 μC, are placed 8.0 cm apart on the x axis. At what points along the x axis are

(a) the electric field zero and

(b) the potential zero? Let V = 0 at r = ∞.

A total charge Q is uniformly distributed on a thread of length ℓ. The thread forms a semicircle. What is the potential at the full-circle’s center? (Assume V = 0 at large distances.)

Calculate the electric potential due to a tiny dipole whose dipole moment is 4.8 x 10⁻³⁰ Cm at a point 4.1 x 10⁻⁹ m away if this point is 45° above the axis but nearer the positive charge.

An analog voltage signal can vary from 0 V to 5.00 V, and it is to be converted to an 8-bit binary representation. What voltage, to the nearest 0.01 V, would have a binary representation of 01110101?

An analog voltage signal can vary from 0 V to 5.00 V, and it is to be converted to an 8-bit binary representation. What binary number would best represent 3.47 volts?

A lightning flash transfers 4.0 C of charge and 5.2 MJ of energy to the Earth. Across what potential difference did it travel?