Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10¬12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10 symbol carries their usual meaning. For example, µC means micro coulomb. -31 kg. Unless specified otherwise, each -38 Consider two charges q = 32 e and q2 = -29 e at positions (-35, –13, 13) and ( V3 50 -36) respectively where all the coordinates are measured in the scale of 10-9 m or nano meters. If position vector of the charge q is r and charge q2 is 72. a) Find the relative position vector that points from charge q1 to charge q2. x component Give your answer to at least three significance digits. m y component Give your answer to at least three significance digits. m z component Give your answer to at least three significance digits. m b) Calculate the force acting on q due to q2. x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. z component of the force Give your answer to at least three significance digits. N Now consider another charge q3 = -34 e is in the xyz system positioned at ( , 17). Calculate the net force acting on q and q2. 31 V3 c) Net Force on q̟ due to other charges æ component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. z component of the force Give your answer to at least three significance digits. N
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C². Vacuum permitivity, €o = 8.854 × 10¬12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10 symbol carries their usual meaning. For example, µC means micro coulomb. -31 kg. Unless specified otherwise, each -38 Consider two charges q = 32 e and q2 = -29 e at positions (-35, –13, 13) and ( V3 50 -36) respectively where all the coordinates are measured in the scale of 10-9 m or nano meters. If position vector of the charge q is r and charge q2 is 72. a) Find the relative position vector that points from charge q1 to charge q2. x component Give your answer to at least three significance digits. m y component Give your answer to at least three significance digits. m z component Give your answer to at least three significance digits. m b) Calculate the force acting on q due to q2. x component of the force Give your answer to at least three significance digits. y component of the force Give your answer to at least three significance digits. z component of the force Give your answer to at least three significance digits. N Now consider another charge q3 = -34 e is in the xyz system positioned at ( , 17). Calculate the net force acting on q and q2. 31 V3 c) Net Force on q̟ due to other charges æ component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. z component of the force Give your answer to at least three significance digits. N
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Transcribed Image Text:8.854 x 10¬12 F/m. Magnitude
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C2. Vacuum permitivity, €o =
of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10¬31 kg. Unless specified otherwise, each
symbol carries their usual meaning. For example, µC means micro coulomb .
-38
50
Consider two charges q1
= 32 e and q2 =-29 e at positions (-35, –13, 13) and (-
E, -36) respectively where all the coordinates are measured
in the scale of 10-9
m or nano meters. If position vector of the charge q1 is r1 and charge q, is r2.
a) Find the relative position vector that points from charge q1 to charge q2.
x component
Give your answer to at least three significance digits.
m
y component
Give your answer to at least three significance digits.
m
z component
Give your answer to at least three significance digits.
b) Calculate the force acting on q1 due to q2.
x component of the force
Give your answer to at least three significance digits.
y component of the force
Give your answer to at least three significance digits.
N
z component of the force
Give your answer to at least three significance digits.
N
-16
31
Now consider another charge q3 = -34 e is in the xyz system positioned at (-
V3
, 17). Calculate the net force acting on q1 and q2.
c) Net Force on q1 due to other charges
x component of the force
Give your answer
at least three significance digits.
N
y component of the force
Give your answer to at least three significance digits.
z component of the force
Give your answer to at least three significance digits.
d) Net Force on q2 due to other charges
x component of the force
Give your answer to at least three significance digits.
y component of the force
Give your answer to at least three significance digits.
N
z component of the force
Give your answer to at least three significance digits.
N
e) Calculate the net electric field at the position of q3 due to q1 and q2 charge. Note that, you cannot calculate electric field of q3 at it's own position.
x component of the field
Give your answer to at least three significance digits.
N/C
Y component of the field
Give your answer to at least three significance digits.
N/C
z component of the field
Give your answer to at least three significance digits.
N/C
Say the charge q3 have mass of m =
0.12 gram. What will be it's acceleration given it's in the field of other charges.
e) Calculate the magnitude of the acceleration of q3 charge
magnitude of the acceleration
Give your answer to at least three significance digits.
m/s²
1.
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