Q, a, and .) inalize, note that E decreases as a increases, as we expect n our m

Question

Q, a, and .) inalize, note that E decreases as a increases, as we expect n our mental representation. If point P is very far from the ), we can ignore the t in the denominator, and E keQ/ a s result is just the form you would expect for a point charge refore, at large values of a, the charge distribution appears a point charge of magnitude Q as you should expect Exercise 23.7 Hints: Getting Started I I'm Stuck A rod 19.5 cm long is uniformly charged and has a total charge of -22.0 HC. (a) Determine the magnitude of the electric field along the axis of the rod at a point 34.0 cm from its center N/C (b) Determine the direction of the electric field along the axis of the rod at the same oint O Away from the rod perpendicular to the axis of the rod O Toward the rod along the axis of the rod Away from the rod along the axis of the rod O Toward the rod perpendicular to the axis of the rod

Explanation / Answer

a )

given

q = - 22 X 10-6 C

L = 19.5 cm = 0.195 m

x = 34 - ( 19.5 / 2 )

x = 24.25 cm = 0.2425 m

k = 9 X 109 Nm2/C2

using equation E = ( k q / L ) ( 1/x - 1 / x+L )

E = ( 9 X 109 X 22 X10-6 / 0.195 ) ( 1 / 0.2425 - 1 / 0.2425 + 0.195 )

E = 1.8662 X 106 V/m

b )

toward the rod along the axis of the rod

or

towards center of the rod.

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