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In Problems 63 through 66 you are given the equation(s) used to solve a problem. For each of these

a. Write a realistic problem for which this is the correct equation(s).

b. Finish the solution of the problem

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/C

Short Answer

Expert verified

(a) Find the Electric field strength at point Pon the rod's axis at distance rfrom the center of an infinite charge rod, with the linear charge density is2×10-7C/min 25000N/C

(b) The solution is0.144m

Step by step solution

01

Given information and formula used

Given :

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/C

Theory used :

TheElectric field of an infinite line charge with a uniform linear charge density can be obtained by a using Gauss' law. Considering a Gaussian surface in the form of a cylinder at radius r, the electric field has the same magnitude at every point of the cylinder and is directed outward.

02

Writing a realistic problem and finding the solution of the problem 

(a) Realistic problem :

On an infinite charge rod, let the linear charge density is 2×10-7C/m.

In 25000N/C, find the electric field strength at point Pon the rod's axis at distance rfrom the center.

(b) Solution :

(9.0×109Nm2/C2)2(2.0×10-7C/m)r=25000N/Cr=(9.0×109Nm2/C2)2(2.0×10-7C/m)25000N/C=0.144m

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