A charge of 2q is placed at the origin and a second charge of +q is placed at x = 5.0 cm. Where can a third charge +q be placed so that it experiences a force of zero? [A5]
A charge of 2q is placed at the origin and a second charge of +q is placed at x = 5.0 cm. Where can a third charge +q be placed so that it experiences a force of zero? [A5]
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Answer 5
![SPH4U9: Fields Take-Home Assignment
Name:
5. A charge of 2q is placed at the origin and a second charge of +q is placed at x = 5.0 cm. Where can a third
charge +q be placed so that it experiences a force of zero? [A5]
6. Six point charges of equal magnitude Q are held at the corners of a hexagon with the signs of the charges as
shown. Each side of the hexagon has length 'a', and 'P' is at the centre of the hexagon.
a
a) Derive the formula for the electric field strength at point P due to ONE
point charge. No directions are necessary for this question. [T2]
-Q
+Q
0
b) Draw the arrows to represent the direction of the field at P due to point
charge A and point charge B. [T1]
c) If the magnitude of Q is 2.6 µC and the length 'a' is 0.12 m, determine
the magnitude and the direction of the electric field strength at point P
due to all six charges. [T5]
a
8. An electron with a horizontal speed of 4.7 x 106 m/s passes through two horizontal plates, as shown below. The
magnitude of the electric field between the plates is 150 N/C. The plates are 8.5 cm long.
a. Calculate the vertical component of the electron's final velocity [T5]
b. Calculate the final velocity of the electron. [T3]
+++++
e
X
+QQ
A
B
-Q
●P
-Q
P+Q](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc8ca1f5-10b5-4e76-9ca1-9785bb9dcba6%2F591a4e0c-d5a2-486b-a2ce-8daec6a08c4d%2F5mk4f0l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SPH4U9: Fields Take-Home Assignment
Name:
5. A charge of 2q is placed at the origin and a second charge of +q is placed at x = 5.0 cm. Where can a third
charge +q be placed so that it experiences a force of zero? [A5]
6. Six point charges of equal magnitude Q are held at the corners of a hexagon with the signs of the charges as
shown. Each side of the hexagon has length 'a', and 'P' is at the centre of the hexagon.
a
a) Derive the formula for the electric field strength at point P due to ONE
point charge. No directions are necessary for this question. [T2]
-Q
+Q
0
b) Draw the arrows to represent the direction of the field at P due to point
charge A and point charge B. [T1]
c) If the magnitude of Q is 2.6 µC and the length 'a' is 0.12 m, determine
the magnitude and the direction of the electric field strength at point P
due to all six charges. [T5]
a
8. An electron with a horizontal speed of 4.7 x 106 m/s passes through two horizontal plates, as shown below. The
magnitude of the electric field between the plates is 150 N/C. The plates are 8.5 cm long.
a. Calculate the vertical component of the electron's final velocity [T5]
b. Calculate the final velocity of the electron. [T3]
+++++
e
X
+QQ
A
B
-Q
●P
-Q
P+Q
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