A very long uniform line of charge has charge per unit length 4.54 C/m and lies
ID: 1626439 • Letter: A
Question
A very long uniform line of charge has charge per unit length 4.54 C/m and lies along the x-axis. A second long uniform line of charge has charge per unit length -2.34 C/m and is parallel to the x-axis at y1 = 0.420 m .
Part A
What is the magnitude of the net electric field at point y2 = 0.214 m on the y-axis?
Part B
What is the direction of the net electric field at point y2 = 0.214 m on the y-axis?
What is the direction of the net electric field at point = 0.214 on the y-axis?
-y-axis
OR
Part C
What is the magnitude of the net electric field at point y3 = 0.614 m on the y-axis?
Part D
What is the direction of the net electric field at point y3 = 0.614 m on the y-axis?
-y-axis
OR
please help.
-y-axis
OR
+y-axisExplanation / Answer
A line of charge having charge per unit length=p1= 4.54 uC/m lies along the x-axis.
A second line of charge has charge per unit length=p2= -2.34 uC/m and is parallel to the x-axis at y1= 0.420m .
point y2= 0.214 m on the y-axis
y2 is between the lines.As one is +ive and the other is - ive, the field will be added up,it will be towards second -ive line
E =2k[ p1/r1 + p2/r2 ]
E =2*9*10^9[ 4.54 *10^-6/0.214 +2.34 *10^-6 /0.206 ]
E =18*10^3[ 4.54 /0.214 +2.34 /0.206 ]
E =18*10^3[ 21.215 +11.359]
E =18*10^3[ 32.574 ]
E =5.863*10^5 N/C
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2-)The direction of the net electric field at point y2= 0.214m on the y-axis is along +y-axis
_________________________
3-) point y3= 0.614m on the y-axis
At y3, the field are in opposite direction, the field due to positive is less than field due to negative
Total field will be difference of two fields
E =2k[ p1/r1 - p2/r2 ]
E =18*10^3[ 4.54 /0.614 - 2.34 /0.194 ]
E =18*10^3[ 7.394 - 12.062 ]
E = -18*10^3[ 4.6678]
E = 8.402*10^4 N/C
3-) the magnitude of the net electric field at point y3= 0.614m on the y-axis is 8.402*10^4 N/C
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4-) The direction of the net electric field at point y3 = 0.614m on the y-axis is -y-axis
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