Problem 20.71 A straight wire 7.0 m long carries 22 Cdistributed uniformly over

Question

Problem 20.71

A straight wire 7.0 m long carries 22 Cdistributed uniformly over its length.

Part A

What is the line charge density on the wire?

Express your answer using two significant figures.

3.1

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Correct

Part B

Find the electric field strength 12 cm from the wire axis, not near either end.

Express your answer using two significant figures.

4.71

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Incorrect; Try Again; 4 attempts remaining

Part C

Find the electric field strength 470 m from the wire.

Note: make suitable approximation. Express your answer using two significant figures.

Problem 20.71

A straight wire 7.0 m long carries 22 Cdistributed uniformly over its length.

Part A

What is the line charge density on the wire?

Express your answer using two significant figures.

=

3.1

  C/m  

SubmitMy AnswersGive Up

Correct

Part B

Find the electric field strength 12 cm from the wire axis, not near either end.

Express your answer using two significant figures.

E =

4.71

  N/C  

SubmitMy AnswersGive Up

Incorrect; Try Again; 4 attempts remaining

Part C

Find the electric field strength 470 m from the wire.

Note: make suitable approximation. Express your answer using two significant figures.

E =   N/C  

Explanation / Answer

Q = 22 µC = 2.2 x 105 C

l = 7 m

a)

= Q/l

= ( 2.2 x 105 C) / 7 m

= 3.1 x 10^-6 C/m

= 3.1 uC/m

b)

E = 2k / y

E = (2 x 9 x 10^9 x 3.1 x 10^-6) / 0.12

E = 4.65 x 10^5 N/C

c)

E = kQ / r^2

E = (9 x 10^9 x 22 x 10^-6) / 470^2

E = 1 N/C

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