What is the approximate magnitude of the electric field between the charge center and the ground?

A. \(4 \times 10^{4} \mathrm{~V} / \mathrm{m}\)

B. \(4 \times 10^{5} \mathrm{~V} / \mathrm{m}\)

C. \(4 \times 10^{6} \mathrm{~V} / \mathrm{m}\)

D. \(4 \times 10^{7} \mathrm{~V} / \mathrm{m}\)

Storm clouds build up large negative charges, as described in the chapter. The charges dwell in charge centers, regions of concentrated charge. Suppose a cloud has \(-25 \mathrm{C}\) in a \(1.0-\mathrm{km}\)-diameter spherical charge center located \(10 \mathrm{~km}\) above the ground, as sketched in Figure P21.86. The negative charge center attracts a similar amount of positive charge that is spread on the ground below the cloud. The charge center and the ground function as a charged capacitor, with a potential difference of approximately \(4 \times 10^{8} \mathrm{~V}\). The large electric field between these two "electrodes" may ionize the air, leading to a conducting path between the cloud and the ground. Charges will flow along this conducting path, causing a discharge of the capacitor-a lightning strike.

Transcribed Image Text:

1 km 10 km -25 C ++ +25 C FIGURE P21.86