The relatively high resistivity of dry skin, about\(1 \times 10^{6} \Omega \cdot \mathrm{m}\), can safely limit the flow of current into deeper tissues of the body. Suppose an electrical worker places his palm on an instrument whose metal case is accidentally connected to a high voltage. The skin of the palm is about \(1.5 \mathrm{~mm}\) thick. Estimate the area of skin on the worker's palm that would contact a flat panel, then calculate the approximate resistance of the skin of the palm.