A Lightning Strike 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 C in a 1.0|dash|km|dash|diameter spherical charge center located 10 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. Figure P21.86 The charge center and the ground function as a charged capacitor, with a potential difference of approximately 4 × 10 8 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. If the cloud transfers all of its charge to the ground via several rapid lightning flashes lasting a total of 1 s, what is the average power? A. 1 GW B. 2GW C. 5GW D. 10 GW
A Lightning Strike 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 C in a 1.0|dash|km|dash|diameter spherical charge center located 10 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. Figure P21.86 The charge center and the ground function as a charged capacitor, with a potential difference of approximately 4 × 10 8 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. If the cloud transfers all of its charge to the ground via several rapid lightning flashes lasting a total of 1 s, what is the average power? A. 1 GW B. 2GW C. 5GW D. 10 GW
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 C in a 1.0|dash|km|dash|diameter spherical charge center located 10 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.
Figure P21.86
The charge center and the ground function as a charged capacitor, with a potential difference of approximately 4 × 108 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.
If the cloud transfers all of its charge to the ground via several rapid lightning flashes lasting a total of 1 s, what is the average power?
Find the ratio of the diameter of silver to iron wire, if they have the same resistance per unit length (as they might in household wiring).
d.
Ag
dFe
= 2.47
×
Find the ratio of the diameter of silver to iron wire, if they have the same resistance per unit length (as they might in household wiring).
d
Ag
= 2.51
dFe
×
Show that the units 1 v2/Q = 1 W, as implied by the equation P = V²/R.
Starting with the equation P = V²/R, we can get an expression for a watt in terms of voltage and resistance. The units for voltage, V, are equivalent to [?
v2
v2
A, are equivalent to J/C ✓ X . Therefore, 1
= 1
= 1 A V1 J/s
Ω
V-A X
= 1 W.
. The units for resistance, Q, are equivalent to ?
The units for current,
Chapter 21 Solutions
College Physics: A Strategic Approach (3rd Edition)
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