1) What is ? the linear charge density along the arc? ________________C/m ?????

Question

1) What is ? the linear charge density along the arc? ________________C/m ?????

2) What is Ex, the value of the x-component of the electric field at the origin (x,y) = (0,0) _____________N/C ??????

3) What is Ey, the value of the y-component of the electric field at the origin (x,y) = (0,0)     _________________N/C ??????

4)

How does the magnitude of the electric field at the origin for the quarter-circle arc you have just calculated comnpare to the electric field at the origin produced by a point charge Q = -1.6 uC located a distance a = 9.8 cm from the origin along a 45 degree  line as shown in the figure?

5)

What is the magnitude of the electric field at the origin produced by a semi-circular arc of charge = -3.2 uC, twice the charge of the quarter-circle arc?

A total charge Q = -1.6 uC is distributed uniformly over a quarter circle arc of radius a = 9.8 cm as shown. What is ? the linear charge density along the arc? Your answer has been judged correct; the exact answer is: -1.03938009811878 times 10-5. What

Explanation / Answer

1)

lamda = 1/4*Q/(2*pi*r) = Q/(0.5*pi*r) = -1.6*10^-6/(0.5*pi*0.098) = -0.0000104 = -1.04*10^-5 C/m

2)

Exnet = 9*10^9*(-1.6*10^-6)/0.089^2*cos(45 degree) = -1285486.38 N/C

3)

Eynet = Exnet = -1285486.38 N/C

4)

Net E produced by arc = electric field at the origin produced by a point charge Q

5)

Ex = 0

Ey = 2*2*(-1285486.38) = -5141945.52 N/C

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