{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# ch22_p27 - 27(a The linear charge density is the charge per...

This preview shows pages 1–2. Sign up to view the full content.

27. (a) The linear charge density is the charge per unit length of rod. Since the charge is uniformly distributed on the rod, 15 14 4.23 10 C 5.19 10 C/m. 0.0815 m q L λ −− × == = × . (b) We position the x axis along the rod with the origin at the left end of the rod, as shown in the diagram. Let dx be an infinitesimal length of rod at x . The charge in this segment is dq dx . The charge dq may be considered to be a point charge. The electric field it produces at point P has only an x component and this component is given by dE dx Lax x = +− 1 4 0 2 π ε λ b g . The total electric field produced at P by the whole rod is the integral () 2 0 0 00 0 11 1 44 4 , L L x dx E a La Lq aL a εε λλ λ §· = ¨¸ ππ + π + ©¹ λ1 π+ ³ upon substituting qL −= . With q = 4.23 × 10 15 C, L =0.0815 m and a = 0.120 m, we obtain

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 2

ch22_p27 - 27(a The linear charge density is the charge per...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online