(a) What total (excess) charge q must the disk in Fig. 22-15 have for the electric field on the surface of the disk at its center to have magnitude 3.0 × 10 6 N/C, the E value at which air breaks down electrically, producing sparks? Take the disk radius as 2.5cm, (b) Suppose each surface atom has an effective cross-sectional area of 0.015 nm 2 . How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?
(a) What total (excess) charge q must the disk in Fig. 22-15 have for the electric field on the surface of the disk at its center to have magnitude 3.0 × 10 6 N/C, the E value at which air breaks down electrically, producing sparks? Take the disk radius as 2.5cm, (b) Suppose each surface atom has an effective cross-sectional area of 0.015 nm 2 . How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?
(a) What total (excess) charge q must the disk in Fig. 22-15 have for the electric field on the surface of the disk at its center to have magnitude 3.0 × 106 N/C, the E value at which air breaks down electrically, producing sparks? Take the disk radius as 2.5cm, (b) Suppose each surface atom has an effective cross-sectional area of 0.015 nm2. How many atoms are needed to make up the disk surface? (c) The charge calculated in (a) results from some of the surface atoms having one excess electron. What fraction of these atoms must be so charged?
In Fig. 21-20, a central particle of charge 2q is surrounded by a square array of charged particles, separated by either distance d or d/2 along the perimeter of the square. What are the magnitude and direc- tion of the net electrostatic force on the central particle due to the other particles? (Hint: Consideration of symmetry can greatly reduce the amount of work required here.)
A positive charge q = 7.81 μC is spread uniformly along a thin nonconducting rod of lengthL = 15.4 cm. What are the (a) magnitude and (b) direction (relative to the positive directionof the x axis) of the electric field produced at point P, at distance R = 6.00 cm from the rod along itsperpendicular bisector?
Equation 23-11 (E = s/´0) gives the electric field at points near a charged conducting surface. Apply this equation to a conducting sphere of radius r and charge q, and show that the electric field outside the sphere is the same as the field of a charged particle located at the center of the sphere.
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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