Please Answer all the Questions Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2 . Vacuum permitivity, ϵ0=8.854×10−12F/m . Magnitude of the Charge of one electron, e=−1.60217662×10−19C . Mass of one electron, me=9.10938356×10−31kg . Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . Consider two charges q1=−48e and q2=13e at positions (34,-33,27) and (39/√3,-48/√2,−28) respectively where all the coordinates are measured in the scale of 10−9m or nano meters. If position vector of the charge q1 is r1 and charge q2 is r2. a) Find the relative position vector that points from charge q1 to charge q2 . x component y component z component
Please Answer all the Questions
Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2 . Vacuum permitivity, ϵ0=8.854×10−12F/m . Magnitude of the Charge of one electron, e=−1.60217662×10−19C . Mass of one electron, me=9.10938356×10−31kg . Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
Consider two charges q1=−48e and q2=13e at positions (34,-33,27) and (39/√3,-48/√2,−28) respectively where all the coordinates are measured in the scale of 10−9m or nano meters. If position vector of the charge q1 is r1 and charge q2 is r2.
a) Find the relative position vector that points from charge q1 to charge q2 .
x component
y component
z component
b) Calculate the force acting on q1 due to q2 .
x component of the force
y component of the force
z component of the force
Now consider another charge q3=−40e is in the xyz system positioned at (11/√3,29√2,25) . Calculate the net force acting on q1 and q2 .
c) Net Force on q1 due to other charges
x component of the force
y component of the force
z component of the force
d) Net Force on q2 due to other charges
x component of the force
y component of the force
z component of the force
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
y component of the field
z component of the field
Say the charge q3 have mass of m=0.17gram . 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
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