7. A uniformly charged disk like the disk in Fig _dQ X P dEx -X (dr Q 4πεγχ2 radius 2.50cm and carries a total charge of 7.0 × 10-¹2C (a) Find the electric field (magnitude and direction) on the x-axis at x = 20.00cm. (b) Show that for x >>> R Electric field is E = where is the total charge on the disk. (c) Is the magnitude of the electric field you calculated in part (a) larger or smaller than the electric field 20.0 cm from a point charge that has the same total charge as this disk? In terms of the approximation explain why this is so. (d) What is the percent difference between the electric fields produced by the finite disk and by a point charge with the same charge at x = 20.0cm and at x = 10.00cm? has

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7. A uniformly charged disk like the disk in Fig
.dQ
X
P dEx
X
has
Q
4π€0x²
radius 2.50cm and carries a total charge of 7.0 × 10-1²C (a) Find the
electric field (magnitude and direction) on the x-axis at x = 20.00cm. (b)
Show that for x >>> R Electric field is E =
where is the total
charge on the disk. (c) Is the magnitude of the electric field you calculated in
part (a) larger or smaller than the electric field 20.0 cm from a point charge
that has the same total charge as this disk? In terms of the approximation
explain why this is so. (d) What is the percent difference between the
electric fields produced by the finite disk and by a point charge with the
same charge at x = 20.0cm and at x = 10.00cm?
Transcribed Image Text:7. A uniformly charged disk like the disk in Fig .dQ X P dEx X has Q 4π€0x² radius 2.50cm and carries a total charge of 7.0 × 10-1²C (a) Find the electric field (magnitude and direction) on the x-axis at x = 20.00cm. (b) Show that for x >>> R Electric field is E = where is the total charge on the disk. (c) Is the magnitude of the electric field you calculated in part (a) larger or smaller than the electric field 20.0 cm from a point charge that has the same total charge as this disk? In terms of the approximation explain why this is so. (d) What is the percent difference between the electric fields produced by the finite disk and by a point charge with the same charge at x = 20.0cm and at x = 10.00cm?
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